On the asymptotic normality of a harmonic crystal coupled to a wave field

DOI10.1134/S0001434616050357zbMath1348.81482MaRDI QIDQ325569

Tat'yana V. Dudnikova

Publication date: 18 October 2016

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

mixing conditionrandom initial dataconvergence to equilibrium distributionharmonic crystal coupled to a field

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Statistical mechanics of crystals (82D25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

Cites Work

• On the convergence to a statistical equilibrium in the crystal coupled to a scalar field
• On two-temperature problem for harmonic crystals

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