Convergence to equilibrium distribution. The Klein-Gordon equation coupled to a particle

DOI10.1134/S1061920810010073zbMath1192.35022arXiv0711.1091OpenAlexW3102397156MaRDI QIDQ965924

Tat'yana V. Dudnikova

Publication date: 26 April 2010

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.1091

zbMATH Keywords

Ibragimov-type mixing conditioninitial correlation functions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs with randomness, stochastic partial differential equations (35R60) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (3)

Long-time asymptotics of solutions to a Hamiltonian system on a lattice ⋮ On the asymptotical normality of statistical solutions for wave equations coupled to a particle ⋮ Caricature of hydrodynamics for lattice dynamics

Cites Work

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• On the convergence to a statistical equilibrium in the crystal coupled to a scalar field
• On scattering of solitons for the Klein-Gordon equation coupled to a particle
• Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures
• On convergence to equilibrium distribution. II: The wave equation in odd dimensions, with mixing
• A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION
• On a Two‐Temperature Problem for the Klein–Gordon Equation
• On the convergence to statistical equilibrium for harmonic crystals
• On convergence to equilibrium distribution. I: The Klein-Gordon equation with mixing

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