Determination of the Spectral Gap in the Kac Model for Physical Momentum and Energy-Conserving Collisions
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Publication:3609049
DOI10.1137/070695423zbMath1163.82007arXiv0705.3729OpenAlexW2160048513MaRDI QIDQ3609049
Michael Loss, Jeffrey S. Geronimo, Eric Anders Carlen
Publication date: 6 March 2009
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0705.3729
Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Generalized hypergeometric series, ({}_pF_q) (33C20)
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A lower bound for the spectral gap of the conjugate Kac process with 3 interacting particles ⋮ Kac's program in kinetic theory ⋮ On the Markov sequence problem for Jacobi polynomials ⋮ Spectral gaps for reversible Markov processes with chaotic invariant measures: the Kac process with hard sphere collisions in three dimensions ⋮ Total variation bound for Kac's random walk ⋮ Entropy production inequalities for the Kac walk ⋮ Proof of a McKean conjecture on the rate of convergence of Boltzmann-equation solutions ⋮ Spectral gap for the Kac model with hard sphere collisions ⋮ Global spectral gap for Dirichlet-Kac random motions ⋮ A counter example to Cercignani's conjecture for the \(d\) dimensional Kac model ⋮ The Kac model coupled to a thermostat ⋮ Equilibrium fluctuation for an anharmonic chain with boundary conditions in the Euler scaling limit ⋮ Kac's chaos and Kac's program
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