High frequency limit for a chain of harmonic oscillators with a point Langevin thermostat

DOI10.1007/s00205-020-01513-7zbMath1442.82011arXiv1910.00342OpenAlexW2979247902MaRDI QIDQ2180922

Tomasz Komorowski, Stefano Olla, Herbert Spohn, Leonid Ryzhik

Publication date: 15 May 2020

Published in: Archive for Rational Mechanics and Analysis, Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.00342

zbMATH Keywords

Wiener processcoupled harmonic oscillatorsWigner functionsDuhamel formulaLangevin thermostatharmonic chains with stochastic noiselinear kinetic equation with interface

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (7)

Diffusion approximation for a simple kinetic model with asymmetric interface ⋮ High frequency limit for a chain of harmonic oscillators with a point Langevin thermostat ⋮ Asymptotic scattering by Poissonian thermostats ⋮ Pairs of complementary transmission conditions for Brownian motion ⋮ Fractional diffusion limit for a kinetic equation with an interface ⋮ Existence of a nonequilibrium steady state for the nonlinear BGK equation on an interval ⋮ Thermal boundaries in kinetic and hydrodynamic limits

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