Current Fluctuations of the One Dimensional Symmetric Simple Exclusion Process with Step Initial Condition View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2009-07

AUTHORS

Bernard Derrida, Antoine Gerschenfeld

ABSTRACT

For the symmetric simple exclusion process on an infinite line, we calculate exactly the fluctuations of the integrated current Qt during time t through the origin when, in the initial condition, the sites are occupied with density ρa on the negative axis and with density ρb on the positive axis. All the cumulants of Qt grow like . In the range where , the decay exp [−Qt3/t] of the distribution of Qt is non-Gaussian. Our results are obtained using the Bethe ansatz and several identities derived recently by Tracy and Widom for exclusion processes on the infinite line. More... »

PAGES

1-15

References to SciGraph publications

  • 1997-07. Exact solution of the master equation for the asymmetric exclusion process in JOURNAL OF STATISTICAL PHYSICS
  • 1999. Stochastic Interacting Systems: Contact, Voter and Exclusion Processes in NONE
  • 2007-08. Dynamics of a Tagged Particle in the Asymmetric Exclusion Process with the Step Initial Condition in JOURNAL OF STATISTICAL PHYSICS
  • 2008-07. A Fredholm Determinant Representation in ASEP in JOURNAL OF STATISTICAL PHYSICS
  • 2006-04. Non Equilibrium Current Fluctuations in Stochastic Lattice Gases in JOURNAL OF STATISTICAL PHYSICS
  • 2007-12. Fluctuation Properties of the TASEP with Periodic Initial Configuration in JOURNAL OF STATISTICAL PHYSICS
  • 2004-05. Current Fluctuations in the One-Dimensional Symmetric Exclusion Process with Open Boundaries in JOURNAL OF STATISTICAL PHYSICS
  • 2005-02. Current Distribution and Random Matrix Ensembles for an Integrable Asymmetric Fragmentation Process in JOURNAL OF STATISTICAL PHYSICS
  • 2007-03. Entropy of Open Lattice Systems in JOURNAL OF STATISTICAL PHYSICS
  • 1995-09. Dynamical ensembles in stationary states in JOURNAL OF STATISTICAL PHYSICS
  • 1991. Large Scale Dynamics of Interacting Particles in NONE
  • 2002-05. Macroscopic Fluctuation Theory for Stationary Non-Equilibrium States in JOURNAL OF STATISTICAL PHYSICS
  • 1999. Scaling Limits of Interacting Particle Systems in NONE
  • 2000-02. Shape Fluctuations and Random Matrices in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2007-11. Finite-Time Current Probabilities in the Asymmetric Exclusion Process on a Ring in JOURNAL OF STATISTICAL PHYSICS
  • 2002. Current Fluctuations for the Totally Asymmetric Simple Exclusion Process in IN AND OUT OF EQUILIBRIUM
  • 2002-05. Large Deviation of the Density Profile in the Steady State of the Open Symmetric Simple Exclusion Process in JOURNAL OF STATISTICAL PHYSICS
  • 1989-03. Stretched exponential decay in a kinetic Ising model with dynamical constraint in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2008-05. Integral Formulas for the Asymmetric Simple Exclusion Process in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10955-009-9772-7

    DOI

    http://dx.doi.org/10.1007/s10955-009-9772-7

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1021882775


    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/2008/1608", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Sociology", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/16", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Studies in Human Society", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "\u00c9cole Normale Sup\u00e9rieure de Lyon", 
              "id": "https://www.grid.ac/institutes/grid.15140.31", 
              "name": [
                "Laboratoire de Physique Statistique, \u00c9cole Normale Sup\u00e9rieure, 24, rue Lhomond, 75231, Paris Cedex 05, France"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Derrida", 
            "givenName": "Bernard", 
            "id": "sg:person.0766735742.49", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0766735742.49"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "\u00c9cole Normale Sup\u00e9rieure de Lyon", 
              "id": "https://www.grid.ac/institutes/grid.15140.31", 
              "name": [
                "Laboratoire de Physique Statistique, \u00c9cole Normale Sup\u00e9rieure, 24, rue Lhomond, 75231, Paris Cedex 05, France"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Gerschenfeld", 
            "givenName": "Antoine", 
            "id": "sg:person.07461176363.32", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07461176363.32"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1023/b:joss.0000022379.95508.b2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1000434828", 
              "https://doi.org/10.1023/b:joss.0000022379.95508.b2"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/cpa.3160420202", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002387673"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1002/cpa.3160420202", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002387673"
            ], 
            "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": "sg:pub.10.1007/978-1-4612-0063-5_7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004183169", 
              "https://doi.org/10.1007/978-1-4612-0063-5_7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4612-0063-5_7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1004183169", 
              "https://doi.org/10.1007/978-1-4612-0063-5_7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.92.180601", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006104267"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.92.180601", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1006104267"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.94.030601", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008293544"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.94.030601", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008293544"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1742-5468/2006/07/p07002", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1008771807"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1014555927320", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1009911887", 
              "https://doi.org/10.1023/a:1014555927320"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s002200050027", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1012635537", 
              "https://doi.org/10.1007/s002200050027"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1742-5468/2007/07/p07023", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1016778152"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1023/a:1014525911391", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017377324", 
              "https://doi.org/10.1023/a:1014525911391"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1742-5468/2007/07/p07007", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1017904900"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10955-006-9160-5", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019101006", 
              "https://doi.org/10.1007/s10955-006-9160-5"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00220-008-0443-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019862116", 
              "https://doi.org/10.1007/s00220-008-0443-3"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00220-008-0443-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019862116", 
              "https://doi.org/10.1007/s00220-008-0443-3"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.84.4882", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020460102"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.84.4882", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020460102"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02179860", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020627908", 
              "https://doi.org/10.1007/bf02179860"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02179860", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020627908", 
              "https://doi.org/10.1007/bf02179860"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10955-007-9406-x", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020643427", 
              "https://doi.org/10.1007/s10955-007-9406-x"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02508478", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022410496", 
              "https://doi.org/10.1007/bf02508478"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02508478", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1022410496", 
              "https://doi.org/10.1007/bf02508478"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10955-008-9562-7", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1023547742", 
              "https://doi.org/10.1007/s10955-008-9562-7"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0305-4470/39/41/s03", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1028795589"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://app.dimensions.ai/details/publication/pub.1030206351", 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-662-03752-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030206351", 
              "https://doi.org/10.1007/978-3-662-03752-2"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-662-03752-2", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030206351", 
              "https://doi.org/10.1007/978-3-662-03752-2"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.96.120603", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030918110"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.96.120603", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1030918110"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.60.2721", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031806362"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.60.2721", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1031806362"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10955-007-9326-9", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032336313", 
              "https://doi.org/10.1007/s10955-007-9326-9"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.78.061115", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032498342"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.78.061115", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032498342"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1742-5468/2005/08/p08003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032995276"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1742-5468/2005/08/p08003", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032995276"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.91.050601", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034533535"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.91.050601", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1034533535"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1751-8113/41/50/505001", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039070455"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.78.021122", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039899758"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.78.021122", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039899758"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.80.209", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040325062"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.80.209", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1040325062"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10955-006-9056-4", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041418251", 
              "https://doi.org/10.1007/s10955-006-9056-4"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10955-007-9383-0", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1041543475", 
              "https://doi.org/10.1007/s10955-007-9383-0"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1751-8113/41/17/175002", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042485170"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s10955-004-8819-z", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042652955", 
              "https://doi.org/10.1007/s10955-004-8819-z"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.72.066110", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044159614"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.72.066110", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1044159614"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01217765", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045523222", 
              "https://doi.org/10.1007/bf01217765"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01217765", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1045523222", 
              "https://doi.org/10.1007/bf01217765"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-662-03990-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048231712", 
              "https://doi.org/10.1007/978-3-662-03990-8"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-3-662-03990-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048231712", 
              "https://doi.org/10.1007/978-3-662-03990-8"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.78.2690", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050584535"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.78.2690", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1050584535"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1209/epl/i2006-10102-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052561063"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.95.240601", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052685404"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.95.240601", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052685404"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.80.011131", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053280919"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.80.011131", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1053280919"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/0305-4470/16/18/029", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059066633"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1088/1742-5468/2009/02/p02032", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1059163199"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreva.46.844", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060486724"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreva.46.844", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060486724"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.16.1393", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060522752"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.16.1393", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060522752"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.18.2011", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060524121"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.18.2011", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060524121"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.28.5711", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060533593"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevb.28.5711", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060533593"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.78.021133", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060737737"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physreve.78.021133", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060737737"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.56.889", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060793614"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.56.889", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060793614"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.71.2401", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060807744"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.71.2401", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060807744"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1214/aop/1176992275", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064404369"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1214/aop/1176993602", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064404731"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2009-07", 
        "datePublishedReg": "2009-07-01", 
        "description": "For the symmetric simple exclusion process on an infinite line, we calculate exactly the fluctuations of the integrated current Qt during time t through the origin when, in the initial condition, the sites are occupied with density \u03c1a on the negative axis and with density \u03c1b on the positive axis. All the cumulants of Qt grow like . In the range where , the decay exp [\u2212Qt3/t] of the distribution of Qt is non-Gaussian. Our results are obtained using the Bethe ansatz and several identities derived recently by Tracy and Widom for exclusion processes on the infinite line.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s10955-009-9772-7", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": true, 
        "isPartOf": [
          {
            "id": "sg:journal.1040979", 
            "issn": [
              "0022-4715", 
              "1572-9613"
            ], 
            "name": "Journal of Statistical Physics", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "1", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "136"
          }
        ], 
        "name": "Current Fluctuations of the One Dimensional Symmetric Simple Exclusion Process with Step Initial Condition", 
        "pagination": "1-15", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "68414c6f42d2c18d1eb98603ffffb93eb90b7688dd0276906cafabe858798087"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s10955-009-9772-7"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1021882775"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s10955-009-9772-7", 
          "https://app.dimensions.ai/details/publication/pub.1021882775"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T09:24", 
        "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/v90/0000000345_0000000345/records_64097_00000000.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007%2Fs10955-009-9772-7"
      }
    ]
     

    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/s10955-009-9772-7'

    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/s10955-009-9772-7'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s10955-009-9772-7'

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

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s10955-009-9772-7'


     

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

    245 TRIPLES      21 PREDICATES      80 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s10955-009-9772-7 schema:about anzsrc-for:16
    2 anzsrc-for:1608
    3 schema:author N3a2d035a149746e6b4ce3411c2dd2c59
    4 schema:citation sg:pub.10.1007/978-1-4612-0063-5_7
    5 sg:pub.10.1007/978-3-642-84371-6
    6 sg:pub.10.1007/978-3-662-03752-2
    7 sg:pub.10.1007/978-3-662-03990-8
    8 sg:pub.10.1007/bf01217765
    9 sg:pub.10.1007/bf02179860
    10 sg:pub.10.1007/bf02508478
    11 sg:pub.10.1007/s00220-008-0443-3
    12 sg:pub.10.1007/s002200050027
    13 sg:pub.10.1007/s10955-004-8819-z
    14 sg:pub.10.1007/s10955-006-9056-4
    15 sg:pub.10.1007/s10955-006-9160-5
    16 sg:pub.10.1007/s10955-007-9326-9
    17 sg:pub.10.1007/s10955-007-9383-0
    18 sg:pub.10.1007/s10955-007-9406-x
    19 sg:pub.10.1007/s10955-008-9562-7
    20 sg:pub.10.1023/a:1014525911391
    21 sg:pub.10.1023/a:1014555927320
    22 sg:pub.10.1023/b:joss.0000022379.95508.b2
    23 https://app.dimensions.ai/details/publication/pub.1030206351
    24 https://doi.org/10.1002/cpa.3160420202
    25 https://doi.org/10.1088/0305-4470/16/18/029
    26 https://doi.org/10.1088/0305-4470/39/41/s03
    27 https://doi.org/10.1088/1742-5468/2005/08/p08003
    28 https://doi.org/10.1088/1742-5468/2006/07/p07002
    29 https://doi.org/10.1088/1742-5468/2007/07/p07007
    30 https://doi.org/10.1088/1742-5468/2007/07/p07023
    31 https://doi.org/10.1088/1742-5468/2009/02/p02032
    32 https://doi.org/10.1088/1751-8113/41/17/175002
    33 https://doi.org/10.1088/1751-8113/41/50/505001
    34 https://doi.org/10.1103/physreva.46.844
    35 https://doi.org/10.1103/physrevb.16.1393
    36 https://doi.org/10.1103/physrevb.18.2011
    37 https://doi.org/10.1103/physrevb.28.5711
    38 https://doi.org/10.1103/physreve.60.2721
    39 https://doi.org/10.1103/physreve.72.066110
    40 https://doi.org/10.1103/physreve.78.021122
    41 https://doi.org/10.1103/physreve.78.021133
    42 https://doi.org/10.1103/physreve.78.061115
    43 https://doi.org/10.1103/physreve.80.011131
    44 https://doi.org/10.1103/physrevlett.56.889
    45 https://doi.org/10.1103/physrevlett.71.2401
    46 https://doi.org/10.1103/physrevlett.78.2690
    47 https://doi.org/10.1103/physrevlett.80.209
    48 https://doi.org/10.1103/physrevlett.84.4882
    49 https://doi.org/10.1103/physrevlett.91.050601
    50 https://doi.org/10.1103/physrevlett.92.180601
    51 https://doi.org/10.1103/physrevlett.94.030601
    52 https://doi.org/10.1103/physrevlett.95.240601
    53 https://doi.org/10.1103/physrevlett.96.120603
    54 https://doi.org/10.1209/epl/i2006-10102-1
    55 https://doi.org/10.1214/aop/1176992275
    56 https://doi.org/10.1214/aop/1176993602
    57 schema:datePublished 2009-07
    58 schema:datePublishedReg 2009-07-01
    59 schema:description For the symmetric simple exclusion process on an infinite line, we calculate exactly the fluctuations of the integrated current Qt during time t through the origin when, in the initial condition, the sites are occupied with density ρa on the negative axis and with density ρb on the positive axis. All the cumulants of Qt grow like . In the range where , the decay exp [−Qt3/t] of the distribution of Qt is non-Gaussian. Our results are obtained using the Bethe ansatz and several identities derived recently by Tracy and Widom for exclusion processes on the infinite line.
    60 schema:genre research_article
    61 schema:inLanguage en
    62 schema:isAccessibleForFree true
    63 schema:isPartOf N2a7d79fecfb34487b6b7d2949bc61fd3
    64 N99dcf11fc0a442faa3c4a494f2a97568
    65 sg:journal.1040979
    66 schema:name Current Fluctuations of the One Dimensional Symmetric Simple Exclusion Process with Step Initial Condition
    67 schema:pagination 1-15
    68 schema:productId N2024ea2af0d849c38f8f4bb659f726e0
    69 N2c2b59b22fa643298355ce44779cd405
    70 N80ee4acd8d66467396a7515a16dcecc0
    71 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021882775
    72 https://doi.org/10.1007/s10955-009-9772-7
    73 schema:sdDatePublished 2019-04-11T09:24
    74 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    75 schema:sdPublisher N65308cb88f3940a38bff45545149662b
    76 schema:url http://link.springer.com/10.1007%2Fs10955-009-9772-7
    77 sgo:license sg:explorer/license/
    78 sgo:sdDataset articles
    79 rdf:type schema:ScholarlyArticle
    80 N2024ea2af0d849c38f8f4bb659f726e0 schema:name dimensions_id
    81 schema:value pub.1021882775
    82 rdf:type schema:PropertyValue
    83 N2a7d79fecfb34487b6b7d2949bc61fd3 schema:volumeNumber 136
    84 rdf:type schema:PublicationVolume
    85 N2c2b59b22fa643298355ce44779cd405 schema:name doi
    86 schema:value 10.1007/s10955-009-9772-7
    87 rdf:type schema:PropertyValue
    88 N3a2d035a149746e6b4ce3411c2dd2c59 rdf:first sg:person.0766735742.49
    89 rdf:rest N9d66fe8a3666400f88bf175bdc4067b3
    90 N65308cb88f3940a38bff45545149662b schema:name Springer Nature - SN SciGraph project
    91 rdf:type schema:Organization
    92 N80ee4acd8d66467396a7515a16dcecc0 schema:name readcube_id
    93 schema:value 68414c6f42d2c18d1eb98603ffffb93eb90b7688dd0276906cafabe858798087
    94 rdf:type schema:PropertyValue
    95 N99dcf11fc0a442faa3c4a494f2a97568 schema:issueNumber 1
    96 rdf:type schema:PublicationIssue
    97 N9d66fe8a3666400f88bf175bdc4067b3 rdf:first sg:person.07461176363.32
    98 rdf:rest rdf:nil
    99 anzsrc-for:16 schema:inDefinedTermSet anzsrc-for:
    100 schema:name Studies in Human Society
    101 rdf:type schema:DefinedTerm
    102 anzsrc-for:1608 schema:inDefinedTermSet anzsrc-for:
    103 schema:name Sociology
    104 rdf:type schema:DefinedTerm
    105 sg:journal.1040979 schema:issn 0022-4715
    106 1572-9613
    107 schema:name Journal of Statistical Physics
    108 rdf:type schema:Periodical
    109 sg:person.07461176363.32 schema:affiliation https://www.grid.ac/institutes/grid.15140.31
    110 schema:familyName Gerschenfeld
    111 schema:givenName Antoine
    112 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07461176363.32
    113 rdf:type schema:Person
    114 sg:person.0766735742.49 schema:affiliation https://www.grid.ac/institutes/grid.15140.31
    115 schema:familyName Derrida
    116 schema:givenName Bernard
    117 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0766735742.49
    118 rdf:type schema:Person
    119 sg:pub.10.1007/978-1-4612-0063-5_7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1004183169
    120 https://doi.org/10.1007/978-1-4612-0063-5_7
    121 rdf:type schema:CreativeWork
    122 sg:pub.10.1007/978-3-642-84371-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003830235
    123 https://doi.org/10.1007/978-3-642-84371-6
    124 rdf:type schema:CreativeWork
    125 sg:pub.10.1007/978-3-662-03752-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030206351
    126 https://doi.org/10.1007/978-3-662-03752-2
    127 rdf:type schema:CreativeWork
    128 sg:pub.10.1007/978-3-662-03990-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048231712
    129 https://doi.org/10.1007/978-3-662-03990-8
    130 rdf:type schema:CreativeWork
    131 sg:pub.10.1007/bf01217765 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045523222
    132 https://doi.org/10.1007/bf01217765
    133 rdf:type schema:CreativeWork
    134 sg:pub.10.1007/bf02179860 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020627908
    135 https://doi.org/10.1007/bf02179860
    136 rdf:type schema:CreativeWork
    137 sg:pub.10.1007/bf02508478 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022410496
    138 https://doi.org/10.1007/bf02508478
    139 rdf:type schema:CreativeWork
    140 sg:pub.10.1007/s00220-008-0443-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019862116
    141 https://doi.org/10.1007/s00220-008-0443-3
    142 rdf:type schema:CreativeWork
    143 sg:pub.10.1007/s002200050027 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012635537
    144 https://doi.org/10.1007/s002200050027
    145 rdf:type schema:CreativeWork
    146 sg:pub.10.1007/s10955-004-8819-z schema:sameAs https://app.dimensions.ai/details/publication/pub.1042652955
    147 https://doi.org/10.1007/s10955-004-8819-z
    148 rdf:type schema:CreativeWork
    149 sg:pub.10.1007/s10955-006-9056-4 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041418251
    150 https://doi.org/10.1007/s10955-006-9056-4
    151 rdf:type schema:CreativeWork
    152 sg:pub.10.1007/s10955-006-9160-5 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019101006
    153 https://doi.org/10.1007/s10955-006-9160-5
    154 rdf:type schema:CreativeWork
    155 sg:pub.10.1007/s10955-007-9326-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032336313
    156 https://doi.org/10.1007/s10955-007-9326-9
    157 rdf:type schema:CreativeWork
    158 sg:pub.10.1007/s10955-007-9383-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041543475
    159 https://doi.org/10.1007/s10955-007-9383-0
    160 rdf:type schema:CreativeWork
    161 sg:pub.10.1007/s10955-007-9406-x schema:sameAs https://app.dimensions.ai/details/publication/pub.1020643427
    162 https://doi.org/10.1007/s10955-007-9406-x
    163 rdf:type schema:CreativeWork
    164 sg:pub.10.1007/s10955-008-9562-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023547742
    165 https://doi.org/10.1007/s10955-008-9562-7
    166 rdf:type schema:CreativeWork
    167 sg:pub.10.1023/a:1014525911391 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017377324
    168 https://doi.org/10.1023/a:1014525911391
    169 rdf:type schema:CreativeWork
    170 sg:pub.10.1023/a:1014555927320 schema:sameAs https://app.dimensions.ai/details/publication/pub.1009911887
    171 https://doi.org/10.1023/a:1014555927320
    172 rdf:type schema:CreativeWork
    173 sg:pub.10.1023/b:joss.0000022379.95508.b2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000434828
    174 https://doi.org/10.1023/b:joss.0000022379.95508.b2
    175 rdf:type schema:CreativeWork
    176 https://app.dimensions.ai/details/publication/pub.1030206351 schema:CreativeWork
    177 https://doi.org/10.1002/cpa.3160420202 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002387673
    178 rdf:type schema:CreativeWork
    179 https://doi.org/10.1088/0305-4470/16/18/029 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059066633
    180 rdf:type schema:CreativeWork
    181 https://doi.org/10.1088/0305-4470/39/41/s03 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028795589
    182 rdf:type schema:CreativeWork
    183 https://doi.org/10.1088/1742-5468/2005/08/p08003 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032995276
    184 rdf:type schema:CreativeWork
    185 https://doi.org/10.1088/1742-5468/2006/07/p07002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008771807
    186 rdf:type schema:CreativeWork
    187 https://doi.org/10.1088/1742-5468/2007/07/p07007 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017904900
    188 rdf:type schema:CreativeWork
    189 https://doi.org/10.1088/1742-5468/2007/07/p07023 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016778152
    190 rdf:type schema:CreativeWork
    191 https://doi.org/10.1088/1742-5468/2009/02/p02032 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059163199
    192 rdf:type schema:CreativeWork
    193 https://doi.org/10.1088/1751-8113/41/17/175002 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042485170
    194 rdf:type schema:CreativeWork
    195 https://doi.org/10.1088/1751-8113/41/50/505001 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039070455
    196 rdf:type schema:CreativeWork
    197 https://doi.org/10.1103/physreva.46.844 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060486724
    198 rdf:type schema:CreativeWork
    199 https://doi.org/10.1103/physrevb.16.1393 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060522752
    200 rdf:type schema:CreativeWork
    201 https://doi.org/10.1103/physrevb.18.2011 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060524121
    202 rdf:type schema:CreativeWork
    203 https://doi.org/10.1103/physrevb.28.5711 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060533593
    204 rdf:type schema:CreativeWork
    205 https://doi.org/10.1103/physreve.60.2721 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031806362
    206 rdf:type schema:CreativeWork
    207 https://doi.org/10.1103/physreve.72.066110 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044159614
    208 rdf:type schema:CreativeWork
    209 https://doi.org/10.1103/physreve.78.021122 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039899758
    210 rdf:type schema:CreativeWork
    211 https://doi.org/10.1103/physreve.78.021133 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060737737
    212 rdf:type schema:CreativeWork
    213 https://doi.org/10.1103/physreve.78.061115 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032498342
    214 rdf:type schema:CreativeWork
    215 https://doi.org/10.1103/physreve.80.011131 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053280919
    216 rdf:type schema:CreativeWork
    217 https://doi.org/10.1103/physrevlett.56.889 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060793614
    218 rdf:type schema:CreativeWork
    219 https://doi.org/10.1103/physrevlett.71.2401 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060807744
    220 rdf:type schema:CreativeWork
    221 https://doi.org/10.1103/physrevlett.78.2690 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050584535
    222 rdf:type schema:CreativeWork
    223 https://doi.org/10.1103/physrevlett.80.209 schema:sameAs https://app.dimensions.ai/details/publication/pub.1040325062
    224 rdf:type schema:CreativeWork
    225 https://doi.org/10.1103/physrevlett.84.4882 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020460102
    226 rdf:type schema:CreativeWork
    227 https://doi.org/10.1103/physrevlett.91.050601 schema:sameAs https://app.dimensions.ai/details/publication/pub.1034533535
    228 rdf:type schema:CreativeWork
    229 https://doi.org/10.1103/physrevlett.92.180601 schema:sameAs https://app.dimensions.ai/details/publication/pub.1006104267
    230 rdf:type schema:CreativeWork
    231 https://doi.org/10.1103/physrevlett.94.030601 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008293544
    232 rdf:type schema:CreativeWork
    233 https://doi.org/10.1103/physrevlett.95.240601 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052685404
    234 rdf:type schema:CreativeWork
    235 https://doi.org/10.1103/physrevlett.96.120603 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030918110
    236 rdf:type schema:CreativeWork
    237 https://doi.org/10.1209/epl/i2006-10102-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052561063
    238 rdf:type schema:CreativeWork
    239 https://doi.org/10.1214/aop/1176992275 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064404369
    240 rdf:type schema:CreativeWork
    241 https://doi.org/10.1214/aop/1176993602 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064404731
    242 rdf:type schema:CreativeWork
    243 https://www.grid.ac/institutes/grid.15140.31 schema:alternateName École Normale Supérieure de Lyon
    244 schema:name Laboratoire de Physique Statistique, École Normale Supérieure, 24, rue Lhomond, 75231, Paris Cedex 05, France
    245 rdf:type schema:Organization
     




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


    ...