Title	Entropy decay for the Kac master equation
Creator	Loss, Michael
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-04-11T10:37
Description	The Kac master equation models the behavior of a large number of randomly colliding particles. Due to its simplicity it allows, without too much pain, to investigate a number of issues. E.g., Mark Kac, who invented this model in 1956, used it to give a simple derivation of the spatially inhomogeneous Boltzmann equation. One important issue is the rate of approach to equilibrium, which can be analyzed in various ways, using, e.g., the gap or the entropy. Explicit entropy estimates will be discussed for a Kac type master equation modeling the interaction of a finite system with a large but finite reservoir. This is joint work with Federico Bonetto, Alissa Geisinger and Tobias Ried.
Extent	34 minutes
Subject	Mathematics; Partial differential equations; Statistical mechanics, structure of matter
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Georgia Institute of Technology
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-10-14
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0372749
URI	http://hdl.handle.net/2429/67539
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Entropy decay for the Kac master equation Loss, Michael

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