Dislocation lines in three-dimensional solids at low temperature

  • We propose a model for three-dimensional solids on a mesoscopic scale with a statistical mechanical description of dislocation lines in thermal equilibrium. The model has a linearized rotational symmetry, which is broken by boundary conditions. We show that this symmetry is spontaneously broken in the thermodynamic limit at small positive temperatures.

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Metadaten
Author:Roland Bauerschmidt, Diana Conache, Markus HeydenreichGND, Franz Merkl, Silke W. W. Rolles
URN:urn:nbn:de:bvb:384-opus4-1037679
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/103767
ISSN:1424-0637OPAC
ISSN:1424-0661OPAC
Parent Title (French):Annales Henri Poincaré
Publisher:Springer Science and Business Media LLC
Place of publication:Berlin
Type:Article
Language:English
Year of first Publication:2019
Publishing Institution:Universität Augsburg
Release Date:2023/04/21
Tag:Mathematical Physics; Nuclear and High Energy Physics; Statistical and Nonlinear Physics
Volume:20
Issue:9
First Page:3019
Last Page:3057
DOI:https://doi.org/10.1007/s00023-019-00829-9
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Stochastik und ihre Anwendungen
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand)