Spectral gap for the Kac model with hard sphere collisions

DOI10.1016/j.jfa.2013.08.024zbMath1290.60100arXiv1304.5124OpenAlexW2963967991MaRDI QIDQ2452469

Michael Loss, Maria Conception Carvalho, Eric Anders Carlen

Publication date: 3 June 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.5124

zbMATH Keywords

spectral gapkinetic theory

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (5)

Kac's program in kinetic theory ⋮ Spectral gaps for reversible Markov processes with chaotic invariant measures: the Kac process with hard sphere collisions in three dimensions ⋮ Entropy production inequalities for the Kac walk ⋮ Spectral gap for stochastic energy exchange model with nonuniformly positive rate function ⋮ Kac's chaos and Kac's program

Cites Work

• Cercignani's conjecture is sometimes true and always almost true
• Spectral gap for Kac's model of Boltzmann equation.
• Determination of the spectral gap for Kac's master equation and related stochastic evolution.
• Bounds for Kac's master equation
• Determination of the Spectral Gap in the Kac Model for Physical Momentum and Energy-Conserving Collisions
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