Dislocation Lines in Three-Dimensional Solids at Low Temperature

Bauerschmidt, Roland; Conache, Diana; Heydenreich, Markus; Merkl, Franz und Rolles, Silke W. W. (2019): Dislocation Lines in Three-Dimensional Solids at Low Temperature. In: Annales Henri Poincare, Bd. 20, Nr. 9: S. 3019-3057

Abstract

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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1424-0637
• Sprache: Englisch