Dislocation Lines in Three-Dimensional Solids at Low Temperature

Roland Bauerschmidt, Diana Conache, Markus Heydenreich, Franz Merkl, Silke W. W. Rolles

OAI: oai:www.repository.cam.ac.uk:1810/308321 • DOI: 10.17863/CAM.55413

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.

article Primary 60K35 Secondary 82B20 82B21