Partially thermostated Kac model

DOI10.1063/1.4928170zbMath1330.82036arXiv1501.06104OpenAlexW1914504498MaRDI QIDQ2945506

Hagop Tossounian, Ranjini Vaidyanathan

Publication date: 11 September 2015

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

Full work available at URL: https://arxiv.org/abs/1501.06104

zbMATH Keywords

entropy productioninteracting particle systemspropagation of chaosthermostatMaxwellian thermostatapproach to equilibriumVan Hove limitKac binary collision modelpartially thermostated systemspectrum of evolution operator

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) One-parameter semigroups and linear evolution equations (47D06) Entropy and other invariants (28D20) Collision of rigid or pseudo-rigid bodies (70F35) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (8)

Equilibration in the Kac model using the GTW metric \(d_2\) ⋮ Large deviations of Kac's conservative particle system and energy nonconserving solutions to the Boltzmann equation: a counterexample to the predicted rate function ⋮ The BGK equation as the limit of an \(N\)-particle system ⋮ Non-equilibrium steady states in Kac's model coupled to a thermostat ⋮ Uniform approximation of a Maxwellian thermostat by finite reservoirs ⋮ On a thermostated Kac model with rescaling ⋮ Entropy decay for the Kac evolution ⋮ Uniform propagation of chaos for the thermostated Kac model

Cites Work

• Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
• On Villani's conjecture concerning entropy production for the Kac master equation
• The Kac model coupled to a thermostat
• Entropy and chaos in the Kac model
• The eigenvalues of Kac's master equation
• On the rate of entropy production for the Boltzmann equation
• Cercignani's conjecture is sometimes true and always almost true
• Spectral gap for Kac's model of Boltzmann equation.
• Exponential approach to, and properties of, a non-equilibrium steady state in a dilute gas
• Nonnegative entropy measures of multivariate symmetric correlations
• An inequality related to the isoperimetric inequality
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