On the stationary non-equilibrium measures for the ``field-crystal system

DOI10.1134/S1064562422050106OpenAlexW4312626426MaRDI QIDQ2680429

Tat'yana V. Dudnikova

Publication date: 2 January 2023

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562422050106

zbMATH Keywords

Cauchy problemZak transformrandom initial datastationary nonequilibrium statesweak convergence of measuresenergy current densityGaussian and Gibbs measuresKlein-Gordon field coupled to crystal

Mathematics Subject Classification ID

Equilibrium statistical mechanics (82Bxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx) General mathematical topics and methods in quantum theory (81Qxx)

Cites Work

• On the convergence to a statistical equilibrium in the crystal coupled to a scalar field
• Effective dynamics for Bloch electrons: Peierls substitution and beyond
• On two-temperature problem for harmonic crystals
• Convergence to stationary states and energy current for infinite harmonic crystals
• On a Two‐Temperature Problem for the Klein–Gordon Equation
• Motion of Electrons in Adiabatically Perturbed Periodic Structures
• Convergence to stationary non-equilibrium states for Klein–Gordon equations

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