Dynamics of a massive piston in an ideal gas

DOI10.1070/RM2002v057n06ABEH000572zbMath1046.37056arXivcond-mat/0301163OpenAlexW2050363508MaRDI QIDQ4816627

Nikolai I. Chernov, Joel L. Lebowitz, Yakov G. Sinai

Publication date: 10 September 2004

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0301163

zbMATH Keywords

thermodynamicsideal gasevolution systemprobabilistic estimatesautonomous coupled equationsdistribution of gas particlesequilibrium statistical mechancismassive piston in a cubic containernoninteracting gas particles

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Brownian motion (60J65) Stochastic analysis applied to problems in fluid mechanics (76M35) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (9)

Archimedes' principle for ideal gas ⋮ Thermophoresis of a Brownian particle driven by inhomogeneous thermal fluctuation ⋮ Statistical thermodynamics for metaequilibrium or metastable states ⋮ Approach to equilibrium of a body colliding specularly and diffusely with a sea of particles ⋮ Quasi-stationary states for particle systems in the mean-field limit ⋮ Random fluctuations of diathermal and adiabatic pistons ⋮ Mesoscopic description of the adiabatic piston: kinetic equations and \(\mathcal{H}\)-theorem ⋮ Multiplicative Langevin equation to reproduce long-time properties of nonequilibrium Brownian motion ⋮ Nonequilibrium statistical mechanics for adiabatic piston problem

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