Superstable interactions in classical statistical mechanics View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1970-06

AUTHORS

D. Ruelle

ABSTRACT

We consider classical systems of particles inv dimensions. For a very large class of pair potentials (superstable lower regular potentials) it is shown that the correlation functions have bounds of the form. Using these and further inequalities one can extend various results obtained by Dobrushin and Minlos [3] for the case of potentials which are non-integrably divergent at the origin. In particular it is shown that the pressure is a continuous function of the density. Infinite system equilibrium states are also defined and studied by analogy with the work of Dobrushin [2a] and of Lanford and Ruelle [11] for lattice gases. More... »

PAGES

127-159

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01646091

DOI

http://dx.doi.org/10.1007/bf01646091

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1001856385


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": {
          "name": [
            "I.H.E.S. Bures-sur-Yvette, France"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Ruelle", 
        "givenName": "D.", 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/bf01645685", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1001612107", 
          "https://doi.org/10.1007/bf01645685"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01645685", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1001612107", 
          "https://doi.org/10.1007/bf01645685"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0031-8914(49)90059-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017955455"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4684-9440-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029413732", 
          "https://doi.org/10.1007/978-1-4684-9440-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4684-9440-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029413732", 
          "https://doi.org/10.1007/978-1-4684-9440-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0375-9601(67)90575-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037576778"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0375-9601(67)90575-0", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037576778"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00250473", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037901143", 
          "https://doi.org/10.1007/bf00250473"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00250473", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037901143", 
          "https://doi.org/10.1007/bf00250473"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01645487", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1042070711", 
          "https://doi.org/10.1007/bf01645487"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01645487", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1042070711", 
          "https://doi.org/10.1007/bf01645487"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.1704681", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1057774350"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.1746468", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1057808639"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrev.87.404", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060459525"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1103/physrev.87.404", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1060459525"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.5802/aif.135", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1073137020"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1970-06", 
    "datePublishedReg": "1970-06-01", 
    "description": "We consider classical systems of particles inv dimensions. For a very large class of pair potentials (superstable lower regular potentials) it is shown that the correlation functions have bounds of the form. Using these and further inequalities one can extend various results obtained by Dobrushin and Minlos [3] for the case of potentials which are non-integrably divergent at the origin. In particular it is shown that the pressure is a continuous function of the density. Infinite system equilibrium states are also defined and studied by analogy with the work of Dobrushin [2a] and of Lanford and Ruelle [11] for lattice gases.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/bf01646091", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1136216", 
        "issn": [
          "0010-3616", 
          "1432-0916"
        ], 
        "name": "Communications in Mathematical Physics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "2", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "18"
      }
    ], 
    "name": "Superstable interactions in classical statistical mechanics", 
    "pagination": "127-159", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "08d7c06b2ac46ed6eeeb0a3967aab3a613f7dfd10a94779d745209139594ac65"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf01646091"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1001856385"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf01646091", 
      "https://app.dimensions.ai/details/publication/pub.1001856385"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T09:10", 
    "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/v90/0000000338_0000000338/records_47975_00000000.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007/BF01646091"
  }
]
 

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/bf01646091'

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/bf01646091'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf01646091'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf01646091'


 

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

93 TRIPLES      21 PREDICATES      37 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf01646091 schema:about anzsrc-for:02
2 anzsrc-for:0202
3 schema:author N630cae0fddb74552ae4112a7b78b7391
4 schema:citation sg:pub.10.1007/978-1-4684-9440-2
5 sg:pub.10.1007/bf00250473
6 sg:pub.10.1007/bf01645487
7 sg:pub.10.1007/bf01645685
8 https://doi.org/10.1016/0031-8914(49)90059-2
9 https://doi.org/10.1016/0375-9601(67)90575-0
10 https://doi.org/10.1063/1.1704681
11 https://doi.org/10.1063/1.1746468
12 https://doi.org/10.1103/physrev.87.404
13 https://doi.org/10.5802/aif.135
14 schema:datePublished 1970-06
15 schema:datePublishedReg 1970-06-01
16 schema:description We consider classical systems of particles inv dimensions. For a very large class of pair potentials (superstable lower regular potentials) it is shown that the correlation functions have bounds of the form. Using these and further inequalities one can extend various results obtained by Dobrushin and Minlos [3] for the case of potentials which are non-integrably divergent at the origin. In particular it is shown that the pressure is a continuous function of the density. Infinite system equilibrium states are also defined and studied by analogy with the work of Dobrushin [2a] and of Lanford and Ruelle [11] for lattice gases.
17 schema:genre research_article
18 schema:inLanguage en
19 schema:isAccessibleForFree false
20 schema:isPartOf N293b4bd09ba74cf0abba9226af1adb76
21 Nd159b65fd0324f51a231b85cb8b89b8e
22 sg:journal.1136216
23 schema:name Superstable interactions in classical statistical mechanics
24 schema:pagination 127-159
25 schema:productId N395ab1108ca74d0c920cea1eb4e34bba
26 N4bfcb7ff3d894d5bba94564a68a68820
27 N8e1d73199a704194ab57d24857cdd483
28 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001856385
29 https://doi.org/10.1007/bf01646091
30 schema:sdDatePublished 2019-04-11T09:10
31 schema:sdLicense https://scigraph.springernature.com/explorer/license/
32 schema:sdPublisher N5d4bdb1750e3446696f1f943db4d2d92
33 schema:url http://link.springer.com/10.1007/BF01646091
34 sgo:license sg:explorer/license/
35 sgo:sdDataset articles
36 rdf:type schema:ScholarlyArticle
37 N21a98119314d45d3a26dbac243b22a9d schema:name I.H.E.S. Bures-sur-Yvette, France
38 rdf:type schema:Organization
39 N293b4bd09ba74cf0abba9226af1adb76 schema:issueNumber 2
40 rdf:type schema:PublicationIssue
41 N395ab1108ca74d0c920cea1eb4e34bba schema:name dimensions_id
42 schema:value pub.1001856385
43 rdf:type schema:PropertyValue
44 N4bfcb7ff3d894d5bba94564a68a68820 schema:name readcube_id
45 schema:value 08d7c06b2ac46ed6eeeb0a3967aab3a613f7dfd10a94779d745209139594ac65
46 rdf:type schema:PropertyValue
47 N5d4bdb1750e3446696f1f943db4d2d92 schema:name Springer Nature - SN SciGraph project
48 rdf:type schema:Organization
49 N630cae0fddb74552ae4112a7b78b7391 rdf:first Nd9414d75652442f0b35bf6dde5b27866
50 rdf:rest rdf:nil
51 N8e1d73199a704194ab57d24857cdd483 schema:name doi
52 schema:value 10.1007/bf01646091
53 rdf:type schema:PropertyValue
54 Nd159b65fd0324f51a231b85cb8b89b8e schema:volumeNumber 18
55 rdf:type schema:PublicationVolume
56 Nd9414d75652442f0b35bf6dde5b27866 schema:affiliation N21a98119314d45d3a26dbac243b22a9d
57 schema:familyName Ruelle
58 schema:givenName D.
59 rdf:type schema:Person
60 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
61 schema:name Physical Sciences
62 rdf:type schema:DefinedTerm
63 anzsrc-for:0202 schema:inDefinedTermSet anzsrc-for:
64 schema:name Atomic, Molecular, Nuclear, Particle and Plasma Physics
65 rdf:type schema:DefinedTerm
66 sg:journal.1136216 schema:issn 0010-3616
67 1432-0916
68 schema:name Communications in Mathematical Physics
69 rdf:type schema:Periodical
70 sg:pub.10.1007/978-1-4684-9440-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029413732
71 https://doi.org/10.1007/978-1-4684-9440-2
72 rdf:type schema:CreativeWork
73 sg:pub.10.1007/bf00250473 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037901143
74 https://doi.org/10.1007/bf00250473
75 rdf:type schema:CreativeWork
76 sg:pub.10.1007/bf01645487 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042070711
77 https://doi.org/10.1007/bf01645487
78 rdf:type schema:CreativeWork
79 sg:pub.10.1007/bf01645685 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001612107
80 https://doi.org/10.1007/bf01645685
81 rdf:type schema:CreativeWork
82 https://doi.org/10.1016/0031-8914(49)90059-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017955455
83 rdf:type schema:CreativeWork
84 https://doi.org/10.1016/0375-9601(67)90575-0 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037576778
85 rdf:type schema:CreativeWork
86 https://doi.org/10.1063/1.1704681 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057774350
87 rdf:type schema:CreativeWork
88 https://doi.org/10.1063/1.1746468 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057808639
89 rdf:type schema:CreativeWork
90 https://doi.org/10.1103/physrev.87.404 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060459525
91 rdf:type schema:CreativeWork
92 https://doi.org/10.5802/aif.135 schema:sameAs https://app.dimensions.ai/details/publication/pub.1073137020
93 rdf:type schema:CreativeWork
 




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


...