paper

Dislocation lines in three-dimensional solids at low temperature

arXiv:1811.12812 · doi:10.1007/s00023-019-00829-9

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.

32 pages, 1 figure