Entropy is the only increasing functional of Kac's one-dimensional caricature of a Maxwellian gas

DOI10.1007/BF00531969zbMath0129.43605OpenAlexW2082848154MaRDI QIDQ5339019

H. P. jun. McKean

Publication date: 1963

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00531969

zbMATH Keywords

mechanics of particles and systems

Related Items (9)

On the connection of the formulas for entroy and stationary distribution ⋮ Some mathematical problems related to the nonequilibrium statistical mechanics of infinitely many particles ⋮ Remarks on entropy and equilibrium states ⋮ Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas ⋮ On applications of Orlicz spaces to statistical physics ⋮ Asymptotic of grazing collisions and particle approximation for the Kac equation without Cutoff ⋮ Probabilistic Investigations on the Explosion of Solutions of the KAC Equation with Infinite Energy Initial Distribution ⋮ Chaos, ergodicity, and equilibria in a quantum Kac model ⋮ Proof that Successive Derivatives of Boltzmann's H Function for a Discrete Velocity Gas Alternate in Sign

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