How to Face the Complexity of Plasmas? View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2013

AUTHORS

Dominique F. Escande

ABSTRACT

This paper has two main parts. The first part is subjective and aims at favoring a brainstorming in the plasma community. It discusses the present theoretical description of plasmas, with a focus on hot weakly collisional plasmas. It comprises two subparts. The first one deals with the present status of this description. In particular, most models used in plasma physics are shown to have feet of clay, there is no strict hierarchy between them, and a principle of simplicity dominates the modeling activity. At any moment the description of plasma complexity is provisional and results from a collective and somewhat unconscious process. The second subpart considers possible methodological improvements, some of them specific to plasma physics and some others of possible interest for other fields of science. The proposals for improving the present situation go along the following lines: improving the way papers are structured and the way scientific quality is assessed in the referral process, developing new databases, stimulating the scientific discussion of published results, diversifying the way results are made available, assessing more quality than quantity, and making available an incompressible time for creative thinking and non-purpose-oriented research. Some possible improvements for teaching are also indicated. The suggested improvement of the structure of papers would be for each paper to have a “claim section” summarizing the main results and their most relevant connection to previous literature. One of the ideas put forward is that modern nonlinear dynamics and chaos might help revisiting and unifying the overall presentation of plasma physics. The second part of this chapter is devoted to one instance where this idea has been developed for three decades: the description of Langmuir wave–electron interaction in one-dimensional plasmas by a finite-dimensional Hamiltonian. This part is more specialized and is written like a classical scientific paper. This Hamiltonian approach enables recovering Vlasovian linear theory with a mechanical understanding. The quasilinear description of the weak warm beam is discussed, and it is shown that self-consistency vanishes when the plateau forms in the tail distribution function. This leads to consider the various diffusive regimes of the dynamics of particles in a frozen spectrum of waves with random phases. A recent numerical simulation showed that diffusion is quasilinear when the plateau sets in and that the variation of the phase of a given wave with time is almost non-fluctuating for random realizations of the initial wave phases. This led to new analytical calculations of the average behavior of the self-consistent dynamics when the initial wave phases are random. Using Picard iteration technique, they confirm numerical results and exhibit a spontaneous emission of spatial inhomogeneities. More... »

PAGES

109-157

Book

TITLE

From Hamiltonian Chaos to Complex Systems

ISBN

978-1-4614-6961-2
978-1-4614-6962-9

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-1-4614-6962-9_4

DOI

http://dx.doi.org/10.1007/978-1-4614-6962-9_4

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1002766529


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0202", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Atomic, Molecular, Nuclear, Particle and Plasma Physics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/02", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Physical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Aix-Marseille University", 
          "id": "https://www.grid.ac/institutes/grid.5399.6", 
          "name": [
            "UMR 7345 CNRS-Aix-Marseille-Universit\u00e9, case 321, Av. Normandie Niemen, FR-13397\u00a0Marseille CEDEX 20, France"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Escande", 
        "givenName": "Dominique F.", 
        "id": "sg:person.01243642262.71", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01243642262.71"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1088/0741-3335/53/2/025012", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1001085288"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02188677", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1003642477", 
          "https://doi.org/10.1007/bf02188677"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02188677", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1003642477", 
          "https://doi.org/10.1007/bf02188677"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-642-84371-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1003830235", 
          "https://doi.org/10.1007/978-3-642-84371-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-3-642-84371-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1003830235", 
          "https://doi.org/10.1007/978-3-642-84371-6"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreve.69.045501", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004183645"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreve.69.045501", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004183645"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/00411450.2011.604568", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1004358035"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1038/nphys1308", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005391869", 
          "https://doi.org/10.1038/nphys1308"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0741-3335/28/12a/001", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1006970605"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.physrep.2009.07.001", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1007636382"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.physleta.2004.02.010", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009282898"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0167-2789(93)90272-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009720230"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0167-2789(93)90272-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1009720230"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0370-1573(85)90019-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012541626"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0370-1573(85)90019-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012541626"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreve.64.026407", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1013453453"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreve.64.026407", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1013453453"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0370-1573(79)90023-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1014649535"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0370-1573(79)90023-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1014649535"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.2199208", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1014936362"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10955-005-3768-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015900437", 
          "https://doi.org/10.1007/s10955-005-3768-8"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s10955-005-3768-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1015900437", 
          "https://doi.org/10.1007/s10955-005-3768-8"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0031-8914(55)93068-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017212138"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cnsns.2008.05.014", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017285668"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.2928909", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018114850"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.84.3318", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1019664817"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.84.3318", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1019664817"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.3285283", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1023230946"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0741-3335/52/12/124043", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1027617728"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0167-2789(94)90178-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029544587"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0167-2789(94)90178-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029544587"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0375-9601(02)01137-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030282557"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0375-9601(02)01137-4", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030282557"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0003-4916(83)90313-5", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031120580"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.1761193", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1032369827"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1073/pnas.252779099", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1034853561"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.physleta.2005.08.027", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1035361515"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0741-3335/44/8/201", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1036685163"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.99.185005", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1042046064"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.99.185005", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1042046064"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.2397039", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1045023620"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01013171", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1045217896", 
          "https://doi.org/10.1007/bf01013171"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0741-3335/33/12/004", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1045272356"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0029-5515/47/6/e01", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1045672795"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.108.125007", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053261156"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.108.125007", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053261156"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.1677089", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1057753244"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.1693355", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1057765135"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.1693587", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1057765367"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.1824040", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1057824895"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.2375036", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1057853466"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.2711819", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1057858901"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.2888515", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1057879324"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.2979689", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1057889676"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.3063060", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1057906259"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.3085724", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1057911126"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.3346448", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1057939512"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.861371", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058114569"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.866591", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058119779"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.871943", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058124055"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.872288", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058124398"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.872651", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058124756"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0004-637x/727/1/16", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058943515"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0004-637x/727/1/16", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058943515"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0029-5515/39/11y/352", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058986299"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0029-5515/47/6/s03", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058987938"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0029-5515/47/8/030", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058988014"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0029-5515/49/4/045012", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058988337"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0029-5515/49/4/045012", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058988337"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0029-5515/51/10/103012", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058988809"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0029-5515/51/6/063016", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058988954"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0029-5515/51/9/094027", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058989107"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0305-4470/21/5/023", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059069941"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0951-7715/4/3/002", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059110699"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrev.101.922", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060417312"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrev.101.922", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060417312"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrev.107.1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060419058"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrev.107.1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060419058"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrev.108.546", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060419697"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrev.108.546", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060419697"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreve.82.066402", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060741351"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreve.82.066402", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060741351"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreve.84.030103", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060742374"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physreve.84.030103", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060742374"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.106.025001", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060757860"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.106.025001", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060757860"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.108.144501", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060759587"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.108.144501", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060759587"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.13.184", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060767448"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.13.184", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060767448"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.20.318", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060771104"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.20.318", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060771104"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.33.1139", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060778352"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.33.1139", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060778352"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.35.995", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060779977"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.35.995", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060779977"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.52.1296", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060789741"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.52.1296", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060789741"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.53.270", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060790860"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.53.270", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060790860"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.65.3132", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060801718"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.65.3132", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060801718"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.69.2074", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060805402"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.69.2074", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060805402"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.85.1662", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060821727"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.85.1662", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060821727"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.85.3169", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060821981"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.85.3169", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060821981"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.85.3838", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060822101"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.85.3838", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060822101"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.94.085003", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060829960"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.94.085003", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060829960"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.94.145001", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060830165"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.94.145001", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060830165"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.95.065001", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060830697"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.95.065001", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060830697"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.95.065001", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060830697"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.95.215003", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060831221"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.95.215003", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060831221"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrevlett.95.215003", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060831221"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/revmodphys.71.735", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060839456"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/revmodphys.71.735", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060839456"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1214/09-aap671", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1064390651"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1017/cbo9780511599965", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098679137"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1887/0750306122", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1099120721"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2013", 
    "datePublishedReg": "2013-01-01", 
    "description": "This paper has two main parts. The first part is subjective and aims at favoring a brainstorming in the plasma community. It discusses the present theoretical description of plasmas, with a focus on hot weakly collisional plasmas. It comprises two subparts. The first one deals with the present status of this description. In particular, most models used in plasma physics are shown to have feet of clay, there is no strict hierarchy between them, and a principle of simplicity dominates the modeling activity. At any moment the description of plasma complexity is provisional and results from a collective and somewhat unconscious process. The second subpart considers possible methodological improvements, some of them specific to plasma physics and some others of possible interest for other fields of science. The proposals for improving the present situation go along the following lines: improving the way papers are structured and the way scientific quality is assessed in the referral process, developing new databases, stimulating the scientific discussion of published results, diversifying the way results are made available, assessing more quality than quantity, and making available an incompressible time for creative thinking and non-purpose-oriented research. Some possible improvements for teaching are also indicated. The suggested improvement of the structure of papers would be for each paper to have a \u201cclaim section\u201d summarizing the main results and their most relevant connection to previous literature. One of the ideas put forward is that modern nonlinear dynamics and chaos might help revisiting and unifying the overall presentation of plasma physics. The second part of this chapter is devoted to one instance where this idea has been developed for three decades: the description of Langmuir wave\u2013electron interaction in one-dimensional plasmas by a finite-dimensional Hamiltonian. This part is more specialized and is written like a classical scientific paper. This Hamiltonian approach enables recovering Vlasovian linear theory with a mechanical understanding. The quasilinear description of the weak warm beam is discussed, and it is shown that self-consistency vanishes when the plateau forms in the tail distribution function. This leads to consider the various diffusive regimes of the dynamics of particles in a frozen spectrum of waves with random phases. A recent numerical simulation showed that diffusion is quasilinear when the plateau sets in and that the variation of the phase of a given wave with time is almost non-fluctuating for random realizations of the initial wave phases. This led to new analytical calculations of the average behavior of the self-consistent dynamics when the initial wave phases are random. Using Picard iteration technique, they confirm numerical results and exhibit a spontaneous emission of spatial inhomogeneities.", 
    "editor": [
      {
        "familyName": "Leoncini", 
        "givenName": "Xavier", 
        "type": "Person"
      }, 
      {
        "familyName": "Leonetti", 
        "givenName": "Marc", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-1-4614-6962-9_4", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": {
      "isbn": [
        "978-1-4614-6961-2", 
        "978-1-4614-6962-9"
      ], 
      "name": "From Hamiltonian Chaos to Complex Systems", 
      "type": "Book"
    }, 
    "name": "How to Face the Complexity of Plasmas?", 
    "pagination": "109-157", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-1-4614-6962-9_4"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "0d2c5f8870063bc4c8c2165c5e85a2a5771c52c43d5f5e32dbdc75a4cfb52495"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1002766529"
        ]
      }
    ], 
    "publisher": {
      "location": "New York, NY", 
      "name": "Springer New York", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-1-4614-6962-9_4", 
      "https://app.dimensions.ai/details/publication/pub.1002766529"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2019-04-15T11:31", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8660_00000244.jsonl", 
    "type": "Chapter", 
    "url": "http://link.springer.com/10.1007/978-1-4614-6962-9_4"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/978-1-4614-6962-9_4'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-1-4614-6962-9_4'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-1-4614-6962-9_4'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-1-4614-6962-9_4'


 

This table displays all metadata directly associated to this object as RDF triples.

333 TRIPLES      23 PREDICATES      113 URIs      20 LITERALS      8 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-1-4614-6962-9_4 schema:about anzsrc-for:02
2 anzsrc-for:0202
3 schema:author Nd26cea98ad9f4298828f092fa74c1527
4 schema:citation sg:pub.10.1007/978-3-642-84371-6
5 sg:pub.10.1007/bf01013171
6 sg:pub.10.1007/bf02188677
7 sg:pub.10.1007/s10955-005-3768-8
8 sg:pub.10.1038/nphys1308
9 https://doi.org/10.1016/0003-4916(83)90313-5
10 https://doi.org/10.1016/0167-2789(93)90272-3
11 https://doi.org/10.1016/0167-2789(94)90178-3
12 https://doi.org/10.1016/0370-1573(79)90023-1
13 https://doi.org/10.1016/0370-1573(85)90019-5
14 https://doi.org/10.1016/j.cnsns.2008.05.014
15 https://doi.org/10.1016/j.physleta.2004.02.010
16 https://doi.org/10.1016/j.physleta.2005.08.027
17 https://doi.org/10.1016/j.physrep.2009.07.001
18 https://doi.org/10.1016/s0031-8914(55)93068-8
19 https://doi.org/10.1016/s0375-9601(02)01137-4
20 https://doi.org/10.1017/cbo9780511599965
21 https://doi.org/10.1063/1.1677089
22 https://doi.org/10.1063/1.1693355
23 https://doi.org/10.1063/1.1693587
24 https://doi.org/10.1063/1.1761193
25 https://doi.org/10.1063/1.1824040
26 https://doi.org/10.1063/1.2199208
27 https://doi.org/10.1063/1.2375036
28 https://doi.org/10.1063/1.2397039
29 https://doi.org/10.1063/1.2711819
30 https://doi.org/10.1063/1.2888515
31 https://doi.org/10.1063/1.2928909
32 https://doi.org/10.1063/1.2979689
33 https://doi.org/10.1063/1.3063060
34 https://doi.org/10.1063/1.3085724
35 https://doi.org/10.1063/1.3285283
36 https://doi.org/10.1063/1.3346448
37 https://doi.org/10.1063/1.861371
38 https://doi.org/10.1063/1.866591
39 https://doi.org/10.1063/1.871943
40 https://doi.org/10.1063/1.872288
41 https://doi.org/10.1063/1.872651
42 https://doi.org/10.1073/pnas.252779099
43 https://doi.org/10.1080/00411450.2011.604568
44 https://doi.org/10.1088/0004-637x/727/1/16
45 https://doi.org/10.1088/0029-5515/39/11y/352
46 https://doi.org/10.1088/0029-5515/47/6/e01
47 https://doi.org/10.1088/0029-5515/47/6/s03
48 https://doi.org/10.1088/0029-5515/47/8/030
49 https://doi.org/10.1088/0029-5515/49/4/045012
50 https://doi.org/10.1088/0029-5515/51/10/103012
51 https://doi.org/10.1088/0029-5515/51/6/063016
52 https://doi.org/10.1088/0029-5515/51/9/094027
53 https://doi.org/10.1088/0305-4470/21/5/023
54 https://doi.org/10.1088/0741-3335/28/12a/001
55 https://doi.org/10.1088/0741-3335/33/12/004
56 https://doi.org/10.1088/0741-3335/44/8/201
57 https://doi.org/10.1088/0741-3335/52/12/124043
58 https://doi.org/10.1088/0741-3335/53/2/025012
59 https://doi.org/10.1088/0951-7715/4/3/002
60 https://doi.org/10.1103/physrev.101.922
61 https://doi.org/10.1103/physrev.107.1
62 https://doi.org/10.1103/physrev.108.546
63 https://doi.org/10.1103/physreve.64.026407
64 https://doi.org/10.1103/physreve.69.045501
65 https://doi.org/10.1103/physreve.82.066402
66 https://doi.org/10.1103/physreve.84.030103
67 https://doi.org/10.1103/physrevlett.106.025001
68 https://doi.org/10.1103/physrevlett.108.125007
69 https://doi.org/10.1103/physrevlett.108.144501
70 https://doi.org/10.1103/physrevlett.13.184
71 https://doi.org/10.1103/physrevlett.20.318
72 https://doi.org/10.1103/physrevlett.33.1139
73 https://doi.org/10.1103/physrevlett.35.995
74 https://doi.org/10.1103/physrevlett.52.1296
75 https://doi.org/10.1103/physrevlett.53.270
76 https://doi.org/10.1103/physrevlett.65.3132
77 https://doi.org/10.1103/physrevlett.69.2074
78 https://doi.org/10.1103/physrevlett.84.3318
79 https://doi.org/10.1103/physrevlett.85.1662
80 https://doi.org/10.1103/physrevlett.85.3169
81 https://doi.org/10.1103/physrevlett.85.3838
82 https://doi.org/10.1103/physrevlett.94.085003
83 https://doi.org/10.1103/physrevlett.94.145001
84 https://doi.org/10.1103/physrevlett.95.065001
85 https://doi.org/10.1103/physrevlett.95.215003
86 https://doi.org/10.1103/physrevlett.99.185005
87 https://doi.org/10.1103/revmodphys.71.735
88 https://doi.org/10.1214/09-aap671
89 https://doi.org/10.1887/0750306122
90 schema:datePublished 2013
91 schema:datePublishedReg 2013-01-01
92 schema:description This paper has two main parts. The first part is subjective and aims at favoring a brainstorming in the plasma community. It discusses the present theoretical description of plasmas, with a focus on hot weakly collisional plasmas. It comprises two subparts. The first one deals with the present status of this description. In particular, most models used in plasma physics are shown to have feet of clay, there is no strict hierarchy between them, and a principle of simplicity dominates the modeling activity. At any moment the description of plasma complexity is provisional and results from a collective and somewhat unconscious process. The second subpart considers possible methodological improvements, some of them specific to plasma physics and some others of possible interest for other fields of science. The proposals for improving the present situation go along the following lines: improving the way papers are structured and the way scientific quality is assessed in the referral process, developing new databases, stimulating the scientific discussion of published results, diversifying the way results are made available, assessing more quality than quantity, and making available an incompressible time for creative thinking and non-purpose-oriented research. Some possible improvements for teaching are also indicated. The suggested improvement of the structure of papers would be for each paper to have a “claim section” summarizing the main results and their most relevant connection to previous literature. One of the ideas put forward is that modern nonlinear dynamics and chaos might help revisiting and unifying the overall presentation of plasma physics. The second part of this chapter is devoted to one instance where this idea has been developed for three decades: the description of Langmuir wave–electron interaction in one-dimensional plasmas by a finite-dimensional Hamiltonian. This part is more specialized and is written like a classical scientific paper. This Hamiltonian approach enables recovering Vlasovian linear theory with a mechanical understanding. The quasilinear description of the weak warm beam is discussed, and it is shown that self-consistency vanishes when the plateau forms in the tail distribution function. This leads to consider the various diffusive regimes of the dynamics of particles in a frozen spectrum of waves with random phases. A recent numerical simulation showed that diffusion is quasilinear when the plateau sets in and that the variation of the phase of a given wave with time is almost non-fluctuating for random realizations of the initial wave phases. This led to new analytical calculations of the average behavior of the self-consistent dynamics when the initial wave phases are random. Using Picard iteration technique, they confirm numerical results and exhibit a spontaneous emission of spatial inhomogeneities.
93 schema:editor N81cded4b06ce4a02aa3ac3747e61f232
94 schema:genre chapter
95 schema:inLanguage en
96 schema:isAccessibleForFree true
97 schema:isPartOf N8ddae750b10349daa8a6223107d58a5e
98 schema:name How to Face the Complexity of Plasmas?
99 schema:pagination 109-157
100 schema:productId N9a775bd5ee91429f8580d54bf7fc7894
101 Nb250955cf271494fb63774e2779528c2
102 Nf557ceeff332478f86f643104ead867f
103 schema:publisher N34633a05c483423f9115684c3616f4de
104 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002766529
105 https://doi.org/10.1007/978-1-4614-6962-9_4
106 schema:sdDatePublished 2019-04-15T11:31
107 schema:sdLicense https://scigraph.springernature.com/explorer/license/
108 schema:sdPublisher Nddf802ead305408db8102d7327a282a5
109 schema:url http://link.springer.com/10.1007/978-1-4614-6962-9_4
110 sgo:license sg:explorer/license/
111 sgo:sdDataset chapters
112 rdf:type schema:Chapter
113 N27ba68f78abc4e6cbc067e3b86297edb rdf:first Nba63920485a34c3ebd2a9acb2f32a1e8
114 rdf:rest rdf:nil
115 N34633a05c483423f9115684c3616f4de schema:location New York, NY
116 schema:name Springer New York
117 rdf:type schema:Organisation
118 N5ee3c8a4bb4848d78ef3d0d4b6f70984 schema:familyName Leoncini
119 schema:givenName Xavier
120 rdf:type schema:Person
121 N81cded4b06ce4a02aa3ac3747e61f232 rdf:first N5ee3c8a4bb4848d78ef3d0d4b6f70984
122 rdf:rest N27ba68f78abc4e6cbc067e3b86297edb
123 N8ddae750b10349daa8a6223107d58a5e schema:isbn 978-1-4614-6961-2
124 978-1-4614-6962-9
125 schema:name From Hamiltonian Chaos to Complex Systems
126 rdf:type schema:Book
127 N9a775bd5ee91429f8580d54bf7fc7894 schema:name doi
128 schema:value 10.1007/978-1-4614-6962-9_4
129 rdf:type schema:PropertyValue
130 Nb250955cf271494fb63774e2779528c2 schema:name dimensions_id
131 schema:value pub.1002766529
132 rdf:type schema:PropertyValue
133 Nba63920485a34c3ebd2a9acb2f32a1e8 schema:familyName Leonetti
134 schema:givenName Marc
135 rdf:type schema:Person
136 Nd26cea98ad9f4298828f092fa74c1527 rdf:first sg:person.01243642262.71
137 rdf:rest rdf:nil
138 Nddf802ead305408db8102d7327a282a5 schema:name Springer Nature - SN SciGraph project
139 rdf:type schema:Organization
140 Nf557ceeff332478f86f643104ead867f schema:name readcube_id
141 schema:value 0d2c5f8870063bc4c8c2165c5e85a2a5771c52c43d5f5e32dbdc75a4cfb52495
142 rdf:type schema:PropertyValue
143 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
144 schema:name Physical Sciences
145 rdf:type schema:DefinedTerm
146 anzsrc-for:0202 schema:inDefinedTermSet anzsrc-for:
147 schema:name Atomic, Molecular, Nuclear, Particle and Plasma Physics
148 rdf:type schema:DefinedTerm
149 sg:person.01243642262.71 schema:affiliation https://www.grid.ac/institutes/grid.5399.6
150 schema:familyName Escande
151 schema:givenName Dominique F.
152 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01243642262.71
153 rdf:type schema:Person
154 sg:pub.10.1007/978-3-642-84371-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003830235
155 https://doi.org/10.1007/978-3-642-84371-6
156 rdf:type schema:CreativeWork
157 sg:pub.10.1007/bf01013171 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045217896
158 https://doi.org/10.1007/bf01013171
159 rdf:type schema:CreativeWork
160 sg:pub.10.1007/bf02188677 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003642477
161 https://doi.org/10.1007/bf02188677
162 rdf:type schema:CreativeWork
163 sg:pub.10.1007/s10955-005-3768-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015900437
164 https://doi.org/10.1007/s10955-005-3768-8
165 rdf:type schema:CreativeWork
166 sg:pub.10.1038/nphys1308 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005391869
167 https://doi.org/10.1038/nphys1308
168 rdf:type schema:CreativeWork
169 https://doi.org/10.1016/0003-4916(83)90313-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031120580
170 rdf:type schema:CreativeWork
171 https://doi.org/10.1016/0167-2789(93)90272-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009720230
172 rdf:type schema:CreativeWork
173 https://doi.org/10.1016/0167-2789(94)90178-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029544587
174 rdf:type schema:CreativeWork
175 https://doi.org/10.1016/0370-1573(79)90023-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014649535
176 rdf:type schema:CreativeWork
177 https://doi.org/10.1016/0370-1573(85)90019-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012541626
178 rdf:type schema:CreativeWork
179 https://doi.org/10.1016/j.cnsns.2008.05.014 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017285668
180 rdf:type schema:CreativeWork
181 https://doi.org/10.1016/j.physleta.2004.02.010 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009282898
182 rdf:type schema:CreativeWork
183 https://doi.org/10.1016/j.physleta.2005.08.027 schema:sameAs https://app.dimensions.ai/details/publication/pub.1035361515
184 rdf:type schema:CreativeWork
185 https://doi.org/10.1016/j.physrep.2009.07.001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007636382
186 rdf:type schema:CreativeWork
187 https://doi.org/10.1016/s0031-8914(55)93068-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017212138
188 rdf:type schema:CreativeWork
189 https://doi.org/10.1016/s0375-9601(02)01137-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030282557
190 rdf:type schema:CreativeWork
191 https://doi.org/10.1017/cbo9780511599965 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098679137
192 rdf:type schema:CreativeWork
193 https://doi.org/10.1063/1.1677089 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057753244
194 rdf:type schema:CreativeWork
195 https://doi.org/10.1063/1.1693355 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057765135
196 rdf:type schema:CreativeWork
197 https://doi.org/10.1063/1.1693587 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057765367
198 rdf:type schema:CreativeWork
199 https://doi.org/10.1063/1.1761193 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032369827
200 rdf:type schema:CreativeWork
201 https://doi.org/10.1063/1.1824040 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057824895
202 rdf:type schema:CreativeWork
203 https://doi.org/10.1063/1.2199208 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014936362
204 rdf:type schema:CreativeWork
205 https://doi.org/10.1063/1.2375036 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057853466
206 rdf:type schema:CreativeWork
207 https://doi.org/10.1063/1.2397039 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045023620
208 rdf:type schema:CreativeWork
209 https://doi.org/10.1063/1.2711819 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057858901
210 rdf:type schema:CreativeWork
211 https://doi.org/10.1063/1.2888515 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057879324
212 rdf:type schema:CreativeWork
213 https://doi.org/10.1063/1.2928909 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018114850
214 rdf:type schema:CreativeWork
215 https://doi.org/10.1063/1.2979689 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057889676
216 rdf:type schema:CreativeWork
217 https://doi.org/10.1063/1.3063060 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057906259
218 rdf:type schema:CreativeWork
219 https://doi.org/10.1063/1.3085724 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057911126
220 rdf:type schema:CreativeWork
221 https://doi.org/10.1063/1.3285283 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023230946
222 rdf:type schema:CreativeWork
223 https://doi.org/10.1063/1.3346448 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057939512
224 rdf:type schema:CreativeWork
225 https://doi.org/10.1063/1.861371 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058114569
226 rdf:type schema:CreativeWork
227 https://doi.org/10.1063/1.866591 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058119779
228 rdf:type schema:CreativeWork
229 https://doi.org/10.1063/1.871943 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058124055
230 rdf:type schema:CreativeWork
231 https://doi.org/10.1063/1.872288 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058124398
232 rdf:type schema:CreativeWork
233 https://doi.org/10.1063/1.872651 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058124756
234 rdf:type schema:CreativeWork
235 https://doi.org/10.1073/pnas.252779099 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034853561
236 rdf:type schema:CreativeWork
237 https://doi.org/10.1080/00411450.2011.604568 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004358035
238 rdf:type schema:CreativeWork
239 https://doi.org/10.1088/0004-637x/727/1/16 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058943515
240 rdf:type schema:CreativeWork
241 https://doi.org/10.1088/0029-5515/39/11y/352 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058986299
242 rdf:type schema:CreativeWork
243 https://doi.org/10.1088/0029-5515/47/6/e01 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045672795
244 rdf:type schema:CreativeWork
245 https://doi.org/10.1088/0029-5515/47/6/s03 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058987938
246 rdf:type schema:CreativeWork
247 https://doi.org/10.1088/0029-5515/47/8/030 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058988014
248 rdf:type schema:CreativeWork
249 https://doi.org/10.1088/0029-5515/49/4/045012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058988337
250 rdf:type schema:CreativeWork
251 https://doi.org/10.1088/0029-5515/51/10/103012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058988809
252 rdf:type schema:CreativeWork
253 https://doi.org/10.1088/0029-5515/51/6/063016 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058988954
254 rdf:type schema:CreativeWork
255 https://doi.org/10.1088/0029-5515/51/9/094027 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058989107
256 rdf:type schema:CreativeWork
257 https://doi.org/10.1088/0305-4470/21/5/023 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059069941
258 rdf:type schema:CreativeWork
259 https://doi.org/10.1088/0741-3335/28/12a/001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006970605
260 rdf:type schema:CreativeWork
261 https://doi.org/10.1088/0741-3335/33/12/004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045272356
262 rdf:type schema:CreativeWork
263 https://doi.org/10.1088/0741-3335/44/8/201 schema:sameAs https://app.dimensions.ai/details/publication/pub.1036685163
264 rdf:type schema:CreativeWork
265 https://doi.org/10.1088/0741-3335/52/12/124043 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027617728
266 rdf:type schema:CreativeWork
267 https://doi.org/10.1088/0741-3335/53/2/025012 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001085288
268 rdf:type schema:CreativeWork
269 https://doi.org/10.1088/0951-7715/4/3/002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059110699
270 rdf:type schema:CreativeWork
271 https://doi.org/10.1103/physrev.101.922 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060417312
272 rdf:type schema:CreativeWork
273 https://doi.org/10.1103/physrev.107.1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060419058
274 rdf:type schema:CreativeWork
275 https://doi.org/10.1103/physrev.108.546 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060419697
276 rdf:type schema:CreativeWork
277 https://doi.org/10.1103/physreve.64.026407 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013453453
278 rdf:type schema:CreativeWork
279 https://doi.org/10.1103/physreve.69.045501 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004183645
280 rdf:type schema:CreativeWork
281 https://doi.org/10.1103/physreve.82.066402 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060741351
282 rdf:type schema:CreativeWork
283 https://doi.org/10.1103/physreve.84.030103 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060742374
284 rdf:type schema:CreativeWork
285 https://doi.org/10.1103/physrevlett.106.025001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060757860
286 rdf:type schema:CreativeWork
287 https://doi.org/10.1103/physrevlett.108.125007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053261156
288 rdf:type schema:CreativeWork
289 https://doi.org/10.1103/physrevlett.108.144501 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060759587
290 rdf:type schema:CreativeWork
291 https://doi.org/10.1103/physrevlett.13.184 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060767448
292 rdf:type schema:CreativeWork
293 https://doi.org/10.1103/physrevlett.20.318 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060771104
294 rdf:type schema:CreativeWork
295 https://doi.org/10.1103/physrevlett.33.1139 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060778352
296 rdf:type schema:CreativeWork
297 https://doi.org/10.1103/physrevlett.35.995 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060779977
298 rdf:type schema:CreativeWork
299 https://doi.org/10.1103/physrevlett.52.1296 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060789741
300 rdf:type schema:CreativeWork
301 https://doi.org/10.1103/physrevlett.53.270 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060790860
302 rdf:type schema:CreativeWork
303 https://doi.org/10.1103/physrevlett.65.3132 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060801718
304 rdf:type schema:CreativeWork
305 https://doi.org/10.1103/physrevlett.69.2074 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060805402
306 rdf:type schema:CreativeWork
307 https://doi.org/10.1103/physrevlett.84.3318 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019664817
308 rdf:type schema:CreativeWork
309 https://doi.org/10.1103/physrevlett.85.1662 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060821727
310 rdf:type schema:CreativeWork
311 https://doi.org/10.1103/physrevlett.85.3169 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060821981
312 rdf:type schema:CreativeWork
313 https://doi.org/10.1103/physrevlett.85.3838 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060822101
314 rdf:type schema:CreativeWork
315 https://doi.org/10.1103/physrevlett.94.085003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060829960
316 rdf:type schema:CreativeWork
317 https://doi.org/10.1103/physrevlett.94.145001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060830165
318 rdf:type schema:CreativeWork
319 https://doi.org/10.1103/physrevlett.95.065001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060830697
320 rdf:type schema:CreativeWork
321 https://doi.org/10.1103/physrevlett.95.215003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060831221
322 rdf:type schema:CreativeWork
323 https://doi.org/10.1103/physrevlett.99.185005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042046064
324 rdf:type schema:CreativeWork
325 https://doi.org/10.1103/revmodphys.71.735 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060839456
326 rdf:type schema:CreativeWork
327 https://doi.org/10.1214/09-aap671 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064390651
328 rdf:type schema:CreativeWork
329 https://doi.org/10.1887/0750306122 schema:sameAs https://app.dimensions.ai/details/publication/pub.1099120721
330 rdf:type schema:CreativeWork
331 https://www.grid.ac/institutes/grid.5399.6 schema:alternateName Aix-Marseille University
332 schema:name UMR 7345 CNRS-Aix-Marseille-Université, case 321, Av. Normandie Niemen, FR-13397 Marseille CEDEX 20, France
333 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...