A counter example to Cercignani's conjecture for the \(d\) dimensional Kac model

DOI10.1007/s10955-012-0565-zzbMath1259.82063arXiv1204.6031OpenAlexW2057386942WikidataQ122993788 ScholiaQ122993788MaRDI QIDQ690732

Amit Einav

Publication date: 29 November 2012

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

Full work available at URL: https://arxiv.org/abs/1204.6031

zbMATH Keywords

entropy productionCercignani's many particle conjectureKac Model

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items

On the subadditivity of the entropy on the sphere ⋮ Kac's program in kinetic theory ⋮ Propagation of chaos for the spatially homogeneous Landau equation for Maxwellian molecules ⋮ Entropy production inequalities for the Kac walk ⋮ Quantitative and qualitative Kac's chaos on the Boltzmann's sphere

Cites Work

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