Dislocation Lines in Three-Dimensional Solids at Low Temperature

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

doi:10.1007/s00023-019-00829-9

Dislocation Lines in Three-Dimensional Solids at Low Temperature

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

Associate Professorship of Probability Theory

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	3019-3057
Number of pages	39
Journal	Annales Henri Poincare
Volume	20
Issue number	9
DOIs	https://doi.org/10.1007/s00023-019-00829-9
State	Published - 1 Sep 2019

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title = "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.",

author = "Roland Bauerschmidt and Diana Conache and Markus Heydenreich and Franz Merkl and Rolles, {Silke W.W.}",

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AU - Bauerschmidt, Roland

AU - Conache, Diana

AU - Heydenreich, Markus

AU - Merkl, Franz

AU - Rolles, Silke W.W.

PY - 2019/9/1

Y1 - 2019/9/1

N2 - 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.

AB - 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.

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JO - Annales Henri Poincare

JF - Annales Henri Poincare

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Dislocation Lines in Three-Dimensional Solids at Low Temperature

Abstract

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