Distribution of cracks in a chain of atoms at low temperature
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2789 | |
dc.contributor.author | Jansen, Sabine | |
dc.contributor.author | König, Wolfgang | |
dc.contributor.author | Schmidt, Bernd | |
dc.contributor.author | Theil, Florian | |
dc.date.accessioned | 2022-06-30T13:24:03Z | |
dc.date.available | 2022-06-30T13:24:03Z | |
dc.date.issued | 2020 | |
dc.description.abstract | We 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.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9439 | |
dc.identifier.uri | https://doi.org/10.34657/8477 | |
dc.language.iso | eng | |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2789 | |
dc.relation.hasversion | https://doi.org/10.1007/s00023-021-01076-7 | |
dc.relation.issn | 2198-5855 | |
dc.rights.license | This 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.license | Dieses 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.subject.ddc | 510 | |
dc.subject.other | Equilibrium statistical mechanics | eng |
dc.subject.other | atomistic models of elasticity | eng |
dc.subject.other | fracture | eng |
dc.subject.other | lattice gas of defects | eng |
dc.title | Distribution of cracks in a chain of atoms at low temperature | eng |
dc.type | Report | eng |
dc.type | Text | eng |
dcterms.extent | 37 S. | |
tib.accessRights | openAccess | |
wgl.contributor | WIAS | |
wgl.subject | Mathematik | |
wgl.type | Report / Forschungsbericht / Arbeitspapier |
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