Dislocation lines in three-dimensional solids at low temperature

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.

arXiv comment32 pages, 1 figure

References in corpus (4)

• Abstract cluster expansion with applications to statistical mechanical systems
• Face-centered cubic crystallization of atomistic configurations
• Kosterlitz-Thouless Transition Line for the Two Dimensional Coulomb Gas
• Spontaneous Breaking of Rotational Symmetry with Arbitrary Defects and a Rigidity Estimate

Cited by in corpus (2)

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