Dislocation lines in three-dimensional solids at low temperature
Mathematical Physics
2020-04-28 v2 math.MP
Probability
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.
Cite
@article{arxiv.1811.12812,
title = {Dislocation lines in three-dimensional solids at low temperature},
author = {Roland Bauerschmidt and Diana Conache and Markus Heydenreich and Franz Merkl and Silke W. W. Rolles},
journal= {arXiv preprint arXiv:1811.12812},
year = {2020}
}
Comments
32 pages, 1 figure