Grand canonical evolution for the Kac model

DOI10.1007/S10955-022-02932-4OpenAlexW3165344765MaRDI QIDQ2141377

Federico Bonetto, Justin D. Beck

Publication date: 25 May 2022

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

Full work available at URL: https://arxiv.org/abs/2104.04997

zbMATH Keywords

Kac modelapproach to equilibriumparticle reservoir

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) General topics in partial differential equations (35Axx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas
• Non-equilibrium steady states in Kac's model coupled to a thermostat
• Uniform approximation of a Maxwellian thermostat by finite reservoirs
• On Villani's conjecture concerning entropy production for the Kac master equation
• The Kac model coupled to a thermostat
• Perturbation theory of the Fermi surface in a quantum liquid. A general quasiparticle formalism and one-dimensional systems
• Equilibration in the Kac model using the GTW metric \(d_2\)
• Entropy decay for the Kac evolution
• Cercignani's conjecture is sometimes true and always almost true
• Spectral gap for Kac's model of Boltzmann equation.
• Uniform propagation of chaos for the thermostated Kac model
• Logarithmic Sobolev Inequalities
• On the kinetic theory of rarefied gases

This page was built for publication: Grand canonical evolution for the Kac model