Chaos, ergodicity, and equilibria in a quantum Kac model

Eric A. Carlen, Maria C. Carvalho, Michael Loss

Type: Article

Publication Date: 2019-10-15

Citations: 5

DOI: https://doi.org/10.1016/j.aim.2019.106827

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Advances in Mathematics - View - PDF
arXiv (Cornell University) - View - PDF

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+ PDF Chat	Derivation of a Boltzmann Equation with Higher-Order Collisions from a Generalized Kac Model	2024	Esteban Felipe Molina Cardenas Nataša Pavlović W. Lloyd Warner
+ PDF Chat	Report on 2008.03476v2	2021	Rouven Frassek Cristian Giardinà Jorge Kurchan
+ PDF Chat	Duality in quantum transport models	2021	Rouven Frassek Cristian Giardinà Jorge Kurchan
+	Approach to Equilibrium for the Kac Model	2024	Federico Bonetto Eric A. Carlen Lukas Hauger Michael Loss
+ PDF Chat	Complete Entropic Inequalities for Quantum Markov Chains	2022	Li Gao Cambyse Rouzé

Works Cited by This (17)

Action	Title	Year	Authors
+ PDF Chat	A schwarz inequality for positive linear maps on $C^{\ast}$-algebras	1974	Man-Duen Choi
+	Completely Bounded Maps and Operator Algebras	2003	Vern I. Paulsen
+	On the Rate of Entropy Production for the Boltzmann Equation	1999	A. V. Bobylev Carlo Cercignani
+ PDF Chat	Positive functions on 𝐶*-algebras	1955	W. Forrest Stinespring
+	Speed of approach to equilibrium for Kac's caricature of a Maxwellian gas	1966	H. P. McKean
+ PDF Chat	Determination of the spectral gap for Kac's master equation and related stochastic evolution	2003	Eric A. Carlen Maria C. Carvalho Michael Loss
+	Completely positive maps and entropy inequalities	1975	Göran Lindblad
+	The eigenvalues of Kac's master equation	2003	David K. Maslen
+ PDF Chat	Entropy is the only increasing functional of Kac's one-dimensional caricature of a Maxwellian gas	1963	H. P. McKean
+ PDF Chat	Spectral gap for Kac's model of Boltzmann equation	2001	Élise Janvresse