Ontology type: schema:ScholarlyArticle
2005-07
AUTHORS ABSTRACTWe revisit the celebrated model of Fermi, Pasta, and Ulam with the purpose of investigating the thresholds to equipartition in the thermodynamic limit. Starting with a particular class of initial conditions, i.e., with all the energy on the first mode, we observe that in a short time the system splits into two separate subsystems. We conjecture the existence of a function εc(ω), independent of the number N of particles in the chain, such that if the initial energy E satisfies E/N < εc(ω), then only the packet of modes with frequency not exceeding ω shares most of the energy. Bibliography: 25 titles. More... »
PAGES2761-2766
http://scigraph.springernature.com/pub.10.1007/s10958-005-0227-7
DOIhttp://dx.doi.org/10.1007/s10958-005-0227-7
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1024869374
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": [
"Dipartimento di Matematica, Via Saldini 50, 20133, Milano, Italy"
],
"type": "Organization"
},
"familyName": "Galgani",
"givenName": "L.",
"id": "sg:person.010346707747.76",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010346707747.76"
],
"type": "Person"
},
{
"affiliation": {
"name": [
"Dipartimento di Matematica e Applicazioni, Via degli Arcimboldi 8, 20126, Milano, Italy"
],
"type": "Organization"
},
"familyName": "Giorgilli",
"givenName": "A.",
"id": "sg:person.010532704656.30",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010532704656.30"
],
"type": "Person"
}
],
"citation": [
{
"id": "sg:pub.10.1007/bf02188678",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1007649376",
"https://doi.org/10.1007/bf02188678"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf02188678",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1007649376",
"https://doi.org/10.1007/bf02188678"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01019687",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1012658600",
"https://doi.org/10.1007/bf01019687"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0167-2789(89)90014-6",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1028909575"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0167-2789(89)90014-6",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1028909575"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreve.60.3781",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1031960470"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreve.60.3781",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1031960470"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1088/0951-7715/10/5/017",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1034783731"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0375-9601(87)90258-1",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1035715384"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0375-9601(87)90258-1",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1035715384"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0167-2789(92)90074-w",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1048657814"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/0167-2789(92)90074-w",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1048657814"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01218157",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1051921197",
"https://doi.org/10.1007/bf01218157"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01218157",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1051921197",
"https://doi.org/10.1007/bf01218157"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.17.786",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060467072"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.17.786",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060467072"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.2.2013",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060467895"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.2.2013",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060467895"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.28.3544",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060471567"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.28.3544",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060471567"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.31.1039",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060473027"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.31.1039",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060473027"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.31.2740",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060473284"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.31.2740",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060473284"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.33.1163",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060474181"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.33.1163",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060474181"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.41.768",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060481706"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.41.768",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060481706"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.44.975",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060484567"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreva.44.975",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060484567"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreve.51.2877",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060717674"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreve.51.2877",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060717674"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreve.54.2329",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060719709"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1103/physreve.54.2329",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1060719709"
],
"type": "CreativeWork"
}
],
"datePublished": "2005-07",
"datePublishedReg": "2005-07-01",
"description": "We revisit the celebrated model of Fermi, Pasta, and Ulam with the purpose of investigating the thresholds to equipartition in the thermodynamic limit. Starting with a particular class of initial conditions, i.e., with all the energy on the first mode, we observe that in a short time the system splits into two separate subsystems. We conjecture the existence of a function \u03b5c(\u03c9), independent of the number N of particles in the chain, such that if the initial energy E satisfies E/N < \u03b5c(\u03c9), then only the packet of modes with frequency not exceeding \u03c9 shares most of the energy. Bibliography: 25 titles.",
"genre": "research_article",
"id": "sg:pub.10.1007/s10958-005-0227-7",
"inLanguage": [
"en"
],
"isAccessibleForFree": false,
"isPartOf": [
{
"id": "sg:journal.1136516",
"issn": [
"1072-3374",
"1573-8795"
],
"name": "Journal of Mathematical Sciences",
"type": "Periodical"
},
{
"issueNumber": "2",
"type": "PublicationIssue"
},
{
"type": "PublicationVolume",
"volumeNumber": "128"
}
],
"name": "Recent Results on the Fermi-Pasta-Ulam Problem",
"pagination": "2761-2766",
"productId": [
{
"name": "readcube_id",
"type": "PropertyValue",
"value": [
"767a794d831e5f4b040b39b9a5f165233ae288d9315304d0ed84d9779eb94fe1"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1007/s10958-005-0227-7"
]
},
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1024869374"
]
}
],
"sameAs": [
"https://doi.org/10.1007/s10958-005-0227-7",
"https://app.dimensions.ai/details/publication/pub.1024869374"
],
"sdDataset": "articles",
"sdDatePublished": "2019-04-11T09:36",
"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/v90/0000000346_0000000346/records_99824_00000001.jsonl",
"type": "ScholarlyArticle",
"url": "http://link.springer.com/10.1007%2Fs10958-005-0227-7"
}
]
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/s10958-005-0227-7'
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/s10958-005-0227-7'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s10958-005-0227-7'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s10958-005-0227-7'
This table displays all metadata directly associated to this object as RDF triples.
126 TRIPLES
21 PREDICATES
45 URIs
19 LITERALS
7 BLANK NODES