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, Vol. 20, No. 9: pp. 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1424-0637
• Language: English