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      Nonequilibrium statistical mechanics of crystals

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          Abstract

          The local equilibrium approach previously developed by the Authors [J. Mabillard and P. Gaspard, J. Stat. Mech. (2020) 103203] for matter with broken symmetries is applied to crystalline solids. The macroscopic hydrodynamics of crystals and their local thermodynamic and transport properties are deduced from the microscopic Hamiltonian dynamics. In particular, the Green-Kubo formulas are obtained for all the transport coefficients. The eight hydrodynamic modes and their dispersion relation are studied for general and cubic crystals. In the same twenty crystallographic classes as those compatible with piezoelectricity, cross effects coupling transport between linear momentum and heat or crystalline order are shown to split the degeneracy of damping rates for modes propagating in opposite generic directions.

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          Journal
          05 February 2021
          Article
          2102.03096
          b4759464-e2e1-42d5-9d85-3d1fba812d26

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          cond-mat.stat-mech

          Condensed matter
          Condensed matter

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