Dislocation lines in three-dimensional solids at low temperature

DOI10.1007/s00023-019-00829-9zbMath1479.60189arXiv1811.12812OpenAlexW2964023592MaRDI QIDQ2322922

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

Publication date: 5 September 2019

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.12812

zbMATH Keywords

three-dimensional solidslinearized rotational symmetry

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21)

Related Items (2)

Long range order in atomistic models for solids ⋮ Long-range orientational order of random near-lattice hard sphere and hard disk processes

Cites Work

• Face-centered cubic crystallization of atomistic configurations
• Kosterlitz-Thouless transition line for the two dimensional Coulomb gas
• A proof of crystallization in two dimensions
• Spontaneous breaking of continuous rotational symmetry in two dimensions
• Spontaneous symmetry breakdown in the abelian Higgs model
• Low temperature properties for correlation functions in classical \(N\)-vector spin models
• A simple inductive approach to the problem of convergence of cluster expansions of polymer models
• Spontaneous breaking of rotational symmetry in the presence of defects
• Spontaneous breaking of rotational symmetry with arbitrary defects and a rigidity estimate
• Discrete crystal elasticity and discrete dislocations in crystals
• Abstract cluster expansion with applications to statistical mechanical systems
• Statistical Mechanics of Lattice Systems
• Probability

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