Distribution of Cracks in a Chain of Atoms at Low Temperature
dc.bibliographicCitation.firstPage | 4131 | eng |
dc.bibliographicCitation.journalTitle | Annales Henri Poincaré | eng |
dc.bibliographicCitation.lastPage | 4172 | eng |
dc.bibliographicCitation.volume | 22 | eng |
dc.contributor.author | Jansen, Sabine | |
dc.contributor.author | König, Wolfgang | |
dc.contributor.author | Schmidt, Bernd | |
dc.contributor.author | Theil, Florian | |
dc.date.accessioned | 2022-02-10T10:32:31Z | |
dc.date.available | 2022-02-10T10:32:31Z | |
dc.date.issued | 2021 | |
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 Nexp(−βesurf/2) with esurf>0 a surface energy. For the proof, the system is mapped to an effective model, which is a low-density lattice gas of defects. The results require conditions on the interactions between defects. We succeed in verifying these conditions for next-nearest neighbor interactions, applying recently derived uniform estimates of correlations. | eng |
dc.description.version | publishedVersion | eng |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/8002 | |
dc.identifier.uri | https://doi.org/10.34657/7043 | |
dc.language.iso | eng | eng |
dc.publisher | Cham (ZG) : Springer International Publishing AG | eng |
dc.relation.doi | https://doi.org/10.1007/s00023-021-01076-7 | |
dc.relation.essn | 1424-0661 | |
dc.relation.issn | 1424-0637 | |
dc.rights.license | CC BY 4.0 Unported | eng |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | eng |
dc.subject.ddc | 530 | eng |
dc.subject.ddc | 510 | eng |
dc.subject.other | Chain of Atoms | eng |
dc.subject.other | Lennard–Jones type | eng |
dc.subject.other | thermodynamic | eng |
dc.subject.other | low temperature | eng |
dc.title | Distribution of Cracks in a Chain of Atoms at Low Temperature | eng |
dc.type | Article | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Physik | eng |
wgl.type | Zeitschriftenartikel | eng |
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