Ontology type: schema:ScholarlyArticle
1986-03
AUTHORS ABSTRACTWe consider an infinitely extended system of Brownian particles interacting by a pair force-gradV. Their initial distribution is stationary and given by the Gibbs measure associated with the potentialV with fugacityz. We assume thatV is symmetric, finite range, three times continuously differentiable, superstable, and positive and that the fugacity is small in the sense that 0≦z≦0.28/eεdq(1-e−V(q)). In addition a certain essential self-adjointness property is assumed. We prove then that the time-dependent fluctuations in the density on a spatial scale of order ɛ−1 and on a time scale of order ɛ−2 converge as ɛ→0 to a Gaussian field with covariance χεdqg(q)(e(ρ/2χ)Δ|t|f)(q) withp the density and χ the compressibility. More... »
PAGES1-33
http://scigraph.springernature.com/pub.10.1007/bf01464280
DOIhttp://dx.doi.org/10.1007/bf01464280
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1001060784
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/2008/0909",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Geomatic Engineering",
"type": "DefinedTerm"
},
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Engineering",
"type": "DefinedTerm"
}
],
"author": [
{
"affiliation": {
"alternateName": "Ludwig Maximilian University of Munich",
"id": "https://www.grid.ac/institutes/grid.5252.0",
"name": [
"Theoretische Physik, Ludwig-Maximilians-Universit\u00e4t M\u00fcnchen, Theresienstrasse 37, D-8000, M\u00fcnchen 2, Federal Republic of Germany"
],
"type": "Organization"
},
"familyName": "Spohn",
"givenName": "Herbert",
"id": "sg:person.0762212765.01",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0762212765.01"
],
"type": "Person"
}
],
"citation": [
{
"id": "sg:pub.10.1007/bf00535165",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1000607893",
"https://doi.org/10.1007/bf00535165"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bfb0072113",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1001730420",
"https://doi.org/10.1007/bfb0072113"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01646091",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1001856385",
"https://doi.org/10.1007/bf01646091"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01646091",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1001856385",
"https://doi.org/10.1007/bf01646091"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01646207",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1005011159",
"https://doi.org/10.1007/bf01646207"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01646207",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1005011159",
"https://doi.org/10.1007/bf01646207"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bfb0004020",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1005711416",
"https://doi.org/10.1007/bfb0004020"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01877496",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1007828790",
"https://doi.org/10.1007/bf01877496"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01877496",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1007828790",
"https://doi.org/10.1007/bf01877496"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01018556",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1013126093",
"https://doi.org/10.1007/bf01018556"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01018556",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1013126093",
"https://doi.org/10.1007/bf01018556"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01609415",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1013362895",
"https://doi.org/10.1007/bf01609415"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01609415",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1013362895",
"https://doi.org/10.1007/bf01609415"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01009805",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1015024798",
"https://doi.org/10.1007/bf01009805"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01009805",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1015024798",
"https://doi.org/10.1007/bf01009805"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bfb0068557",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1015149964",
"https://doi.org/10.1007/bfb0068557"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bfb0068557",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1015149964",
"https://doi.org/10.1007/bfb0068557"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01208783",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1015660782",
"https://doi.org/10.1007/bf01208783"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01208783",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1015660782",
"https://doi.org/10.1007/bf01208783"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf02710328",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1031234239",
"https://doi.org/10.1007/bf02710328"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf02710328",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1031234239",
"https://doi.org/10.1007/bf02710328"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf00534170",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1037678313",
"https://doi.org/10.1007/bf00534170"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0378-4371(83)90260-1",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1043960462"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0378-4371(83)90260-1",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1043960462"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01210789",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1048441557",
"https://doi.org/10.1007/bf01210789"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01210789",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1048441557",
"https://doi.org/10.1007/bf01210789"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf00532704",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1052042648",
"https://doi.org/10.1007/bf00532704"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1063/1.1744102",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1057806543"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1088/0305-4470/11/1/014",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1059064397"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1088/0305-4470/15/4/030",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1059066096"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/revmodphys.49.435",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060838858"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/revmodphys.49.435",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060838858"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1214/aop/1176992156",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1064404328"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1214/aop/1176993225",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1064404595"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1214/aop/1176993437",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1064404664"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1214/aop/1176993602",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1064404731"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.2307/1971263",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1069676552"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.2977/prims/1195188837",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1070935351"
],
"type": "CreativeWork"
}
],
"datePublished": "1986-03",
"datePublishedReg": "1986-03-01",
"description": "We consider an infinitely extended system of Brownian particles interacting by a pair force-gradV. Their initial distribution is stationary and given by the Gibbs measure associated with the potentialV with fugacityz. We assume thatV is symmetric, finite range, three times continuously differentiable, superstable, and positive and that the fugacity is small in the sense that 0\u2266z\u22660.28/e\u03b5dq(1-e\u2212V(q)). In addition a certain essential self-adjointness property is assumed. We prove then that the time-dependent fluctuations in the density on a spatial scale of order \u025b\u22121 and on a time scale of order \u025b\u22122 converge as \u025b\u21920 to a Gaussian field with covariance \u03c7\u03b5dqg(q)(e(\u03c1/2\u03c7)\u0394|t|f)(q) withp the density and \u03c7 the compressibility.",
"genre": "research_article",
"id": "sg:pub.10.1007/bf01464280",
"inLanguage": [
"en"
],
"isAccessibleForFree": false,
"isPartOf": [
{
"id": "sg:journal.1136216",
"issn": [
"0010-3616",
"1432-0916"
],
"name": "Communications in Mathematical Physics",
"type": "Periodical"
},
{
"issueNumber": "1",
"type": "PublicationIssue"
},
{
"type": "PublicationVolume",
"volumeNumber": "103"
}
],
"name": "Equilibrium fluctuations for interacting Brownian particles",
"pagination": "1-33",
"productId": [
{
"name": "readcube_id",
"type": "PropertyValue",
"value": [
"050dbe87befd6f93b55dcb88c3fc0492564c2c401b002d1cb8456cf018414dbe"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1007/bf01464280"
]
},
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1001060784"
]
}
],
"sameAs": [
"https://doi.org/10.1007/bf01464280",
"https://app.dimensions.ai/details/publication/pub.1001060784"
],
"sdDataset": "articles",
"sdDatePublished": "2019-04-11T13:30",
"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/v90/0000000370_0000000370/records_46754_00000000.jsonl",
"type": "ScholarlyArticle",
"url": "http://link.springer.com/10.1007/BF01464280"
}
]
Download the RDF metadata as: json-ld nt turtle xml License info
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/bf01464280'
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/bf01464280'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf01464280'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf01464280'
This table displays all metadata directly associated to this object as RDF triples.
154 TRIPLES
21 PREDICATES
53 URIs
19 LITERALS
7 BLANK NODES