Distribution of cracks in a chain of atoms at low temperature

dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume2789
dc.contributor.authorJansen, Sabine
dc.contributor.authorKönig, Wolfgang
dc.contributor.authorSchmidt, Bernd
dc.contributor.authorTheil, Florian
dc.date.accessioned2022-06-30T13:24:03Z
dc.date.available2022-06-30T13:24:03Z
dc.date.issued2020
dc.description.abstractWe consider a one-dimensional classical many-body system with interaction potential of Lennard--Jones type in the thermodynamic limit at low temperature 1/β ∈ (0, ∞). The ground state is a periodic lattice. We show that when the density is strictly smaller than the density of the ground state lattice, the system with N particles fills space by alternating approximately crystalline domains (clusters) with empty domains (voids) due to cracked bonds. The number of domains is of the order of N exp(-β e surf /2) with e surf > 0 a surface energy.eng
dc.description.versionpublishedVersioneng
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/9439
dc.identifier.urihttps://doi.org/10.34657/8477
dc.language.isoeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
dc.relation.doihttps://doi.org/10.20347/WIAS.PREPRINT.2789
dc.relation.hasversionhttps://doi.org/10.1007/s00023-021-01076-7
dc.relation.issn2198-5855
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subjectEquilibrium statistical mechanicseng
dc.subjectatomistic models of elasticityeng
dc.subjectfractureeng
dc.subjectlattice gas of defectseng
dc.subject.ddc510
dc.titleDistribution of cracks in a chain of atoms at low temperatureeng
dc.typereporteng
dc.typeTexteng
dcterms.extent37 S.
tib.accessRightsopenAccess
wgl.contributorWIAS
wgl.subjectMathematik
wgl.typeReport / Forschungsbericht / Arbeitspapier
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