On the connection between off-equilibrium response and statics in non disordered coarsening systems View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2001-12

AUTHORS

F. Corberi, E. Lippiello, M. Zannetti

ABSTRACT

: The connection between the out of equilibrium linear response function and static properties established by Franz, Mezard, Parisi and Peliti for slowly relaxing systems is analyzed in the context of phase ordering processes. Separating the response in the bulk of domains from interface response, we find that in order for the connection to hold the interface contribution must be asymptotically negligible. How fast this happens depends on the competition between interface curvature and the perturbing external field in driving domain growth. This competition depends on space dimensionality and there exists a critical value dc = 3 below which the interface response becomes increasingly important eventually invalidating the connection between statics and dynamics as the limit d = 1 is reached. This mechanism is analyzed numerically for the Ising model with d ranging from 1 to 4 and analytically for a continuous spin model with arbitrary dimensionality. More... »

PAGES

359-376

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10051-001-8685-2

DOI

http://dx.doi.org/10.1007/s10051-001-8685-2

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1020755239


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/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "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": "Istituto Nazionale per la Fisica della Materia, Unit\u00e0 di Salerno and Dipartimento di Fisica, Universit\u00e0 di Salerno, 84081 Baronissi, Salerno, Italy, IT", 
          "id": "http://www.grid.ac/institutes/None", 
          "name": [
            "Istituto Nazionale per la Fisica della Materia, Unit\u00e0 di Salerno and Dipartimento di Fisica, Universit\u00e0 di Salerno, 84081 Baronissi, Salerno, Italy, IT"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Corberi", 
        "givenName": "F.", 
        "id": "sg:person.0647412251.81", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0647412251.81"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Istituto Nazionale per la Fisica della Materia, Unit\u00e0 di Salerno and Dipartimento di Fisica, Universit\u00e0 di Salerno, 84081 Baronissi, Salerno, Italy, IT", 
          "id": "http://www.grid.ac/institutes/None", 
          "name": [
            "Istituto Nazionale per la Fisica della Materia, Unit\u00e0 di Salerno and Dipartimento di Fisica, Universit\u00e0 di Salerno, 84081 Baronissi, Salerno, Italy, IT"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Lippiello", 
        "givenName": "E.", 
        "id": "sg:person.0601277051.42", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0601277051.42"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Istituto Nazionale per la Fisica della Materia, Unit\u00e0 di Salerno and Dipartimento di Fisica, Universit\u00e0 di Salerno, 84081 Baronissi, Salerno, Italy, IT", 
          "id": "http://www.grid.ac/institutes/None", 
          "name": [
            "Istituto Nazionale per la Fisica della Materia, Unit\u00e0 di Salerno and Dipartimento di Fisica, Universit\u00e0 di Salerno, 84081 Baronissi, Salerno, Italy, IT"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Zannetti", 
        "givenName": "M.", 
        "id": "sg:person.0763640651.14", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0763640651.14"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "2001-12", 
    "datePublishedReg": "2001-12-01", 
    "description": "Abstract: The connection between the out of equilibrium linear response function and static properties established by Franz, Mezard, Parisi and Peliti for slowly relaxing systems is analyzed in the context of phase ordering processes. Separating the response in the bulk of domains from interface response, we find that in order for the connection to hold the interface contribution must be asymptotically negligible. How fast this happens depends on the competition between interface curvature and the perturbing external field in driving domain growth. This competition depends on space dimensionality and there exists a critical value dc = 3 below which the interface response becomes increasingly important eventually invalidating the connection between statics and dynamics as the limit d = 1 is reached. This mechanism is analyzed numerically for the Ising model with d ranging from 1 to 4 and analytically for a continuous spin model with arbitrary dimensionality.", 
    "genre": "article", 
    "id": "sg:pub.10.1007/s10051-001-8685-2", 
    "inLanguage": "en", 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1129956", 
        "issn": [
          "1155-4304", 
          "1286-4862"
        ], 
        "name": "The European Physical Journal B", 
        "publisher": "Springer Nature", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "3", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "24"
      }
    ], 
    "keywords": [
      "continuous spin models", 
      "critical value Dc", 
      "linear response function", 
      "Ising model", 
      "spin model", 
      "phase ordering process", 
      "space dimensionality", 
      "arbitrary dimensionality", 
      "coarsening systems", 
      "external field", 
      "limit D", 
      "static properties", 
      "interface response", 
      "response function", 
      "ordering process", 
      "interface contribution", 
      "domain growth", 
      "dimensionality", 
      "interface curvature", 
      "Parisi", 
      "Mezard", 
      "Peliti", 
      "static", 
      "model", 
      "connection", 
      "curvature", 
      "dynamics", 
      "system", 
      "field", 
      "properties", 
      "function", 
      "order", 
      "bulk", 
      "domain", 
      "DC", 
      "out", 
      "Franz", 
      "contribution", 
      "process", 
      "competition", 
      "context", 
      "response", 
      "growth", 
      "mechanism"
    ], 
    "name": "On the connection between off-equilibrium response and statics in non disordered coarsening systems", 
    "pagination": "359-376", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1020755239"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s10051-001-8685-2"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s10051-001-8685-2", 
      "https://app.dimensions.ai/details/publication/pub.1020755239"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2022-05-10T09:51", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20220509/entities/gbq_results/article/article_330.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1007/s10051-001-8685-2"
  }
]
 

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/s10051-001-8685-2'

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/s10051-001-8685-2'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s10051-001-8685-2'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s10051-001-8685-2'


 

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

116 TRIPLES      21 PREDICATES      70 URIs      62 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s10051-001-8685-2 schema:about anzsrc-for:01
2 anzsrc-for:02
3 schema:author N4f4d98c5f00240f1b2cc194a289f9f12
4 schema:datePublished 2001-12
5 schema:datePublishedReg 2001-12-01
6 schema:description Abstract: The connection between the out of equilibrium linear response function and static properties established by Franz, Mezard, Parisi and Peliti for slowly relaxing systems is analyzed in the context of phase ordering processes. Separating the response in the bulk of domains from interface response, we find that in order for the connection to hold the interface contribution must be asymptotically negligible. How fast this happens depends on the competition between interface curvature and the perturbing external field in driving domain growth. This competition depends on space dimensionality and there exists a critical value dc = 3 below which the interface response becomes increasingly important eventually invalidating the connection between statics and dynamics as the limit d = 1 is reached. This mechanism is analyzed numerically for the Ising model with d ranging from 1 to 4 and analytically for a continuous spin model with arbitrary dimensionality.
7 schema:genre article
8 schema:inLanguage en
9 schema:isAccessibleForFree true
10 schema:isPartOf Nb59e86c7ab264ef9962aa42b940318ec
11 Nece2a0ac8c674b1282f6b0a059a935f9
12 sg:journal.1129956
13 schema:keywords DC
14 Franz
15 Ising model
16 Mezard
17 Parisi
18 Peliti
19 arbitrary dimensionality
20 bulk
21 coarsening systems
22 competition
23 connection
24 context
25 continuous spin models
26 contribution
27 critical value Dc
28 curvature
29 dimensionality
30 domain
31 domain growth
32 dynamics
33 external field
34 field
35 function
36 growth
37 interface contribution
38 interface curvature
39 interface response
40 limit D
41 linear response function
42 mechanism
43 model
44 order
45 ordering process
46 out
47 phase ordering process
48 process
49 properties
50 response
51 response function
52 space dimensionality
53 spin model
54 static
55 static properties
56 system
57 schema:name On the connection between off-equilibrium response and statics in non disordered coarsening systems
58 schema:pagination 359-376
59 schema:productId Ncb867ca399794198bd0f2434580d15af
60 Ndd551848a6124a5a87705753385ba95a
61 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020755239
62 https://doi.org/10.1007/s10051-001-8685-2
63 schema:sdDatePublished 2022-05-10T09:51
64 schema:sdLicense https://scigraph.springernature.com/explorer/license/
65 schema:sdPublisher N883b3dc15dfd4b37a0ac213cc0a98286
66 schema:url https://doi.org/10.1007/s10051-001-8685-2
67 sgo:license sg:explorer/license/
68 sgo:sdDataset articles
69 rdf:type schema:ScholarlyArticle
70 N4f4d98c5f00240f1b2cc194a289f9f12 rdf:first sg:person.0647412251.81
71 rdf:rest N8da38d4be8a144c18d0ccd78689ec315
72 N883b3dc15dfd4b37a0ac213cc0a98286 schema:name Springer Nature - SN SciGraph project
73 rdf:type schema:Organization
74 N8da38d4be8a144c18d0ccd78689ec315 rdf:first sg:person.0601277051.42
75 rdf:rest N9b1f4766f33c486fb45965da6a66458b
76 N9b1f4766f33c486fb45965da6a66458b rdf:first sg:person.0763640651.14
77 rdf:rest rdf:nil
78 Nb59e86c7ab264ef9962aa42b940318ec schema:issueNumber 3
79 rdf:type schema:PublicationIssue
80 Ncb867ca399794198bd0f2434580d15af schema:name doi
81 schema:value 10.1007/s10051-001-8685-2
82 rdf:type schema:PropertyValue
83 Ndd551848a6124a5a87705753385ba95a schema:name dimensions_id
84 schema:value pub.1020755239
85 rdf:type schema:PropertyValue
86 Nece2a0ac8c674b1282f6b0a059a935f9 schema:volumeNumber 24
87 rdf:type schema:PublicationVolume
88 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
89 schema:name Mathematical Sciences
90 rdf:type schema:DefinedTerm
91 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
92 schema:name Physical Sciences
93 rdf:type schema:DefinedTerm
94 sg:journal.1129956 schema:issn 1155-4304
95 1286-4862
96 schema:name The European Physical Journal B
97 schema:publisher Springer Nature
98 rdf:type schema:Periodical
99 sg:person.0601277051.42 schema:affiliation grid-institutes:None
100 schema:familyName Lippiello
101 schema:givenName E.
102 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0601277051.42
103 rdf:type schema:Person
104 sg:person.0647412251.81 schema:affiliation grid-institutes:None
105 schema:familyName Corberi
106 schema:givenName F.
107 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0647412251.81
108 rdf:type schema:Person
109 sg:person.0763640651.14 schema:affiliation grid-institutes:None
110 schema:familyName Zannetti
111 schema:givenName M.
112 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0763640651.14
113 rdf:type schema:Person
114 grid-institutes:None schema:alternateName Istituto Nazionale per la Fisica della Materia, Unità di Salerno and Dipartimento di Fisica, Università di Salerno, 84081 Baronissi, Salerno, Italy, IT
115 schema:name Istituto Nazionale per la Fisica della Materia, Unità di Salerno and Dipartimento di Fisica, Università di Salerno, 84081 Baronissi, Salerno, Italy, IT
116 rdf:type schema:Organization
 




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


...