Evans, Josephine (2016) Non-equilibrium steady states in Kac’s Model coupled to a thermostat. Journal of Statistical Physics, 164 (5). pp. 1103-1121. doi:10.1007/s10955-016-1581-1

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Abstract

This paper studies the existence, uniqueness and convergence to non-equilibrium steady states in Kac’s model with an external coupling. We work in both Fourier distances and Wasserstein distances. Our methods work in the case where the external coupling is not a Maxwellian equilibrium. This provides an example of a non-equilibrium steady state. We also study the behaviour as the number of particles goes to infinity and show quantitative estimates on the convergence rate of the first marginal.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Kac-Moody algebras, Statistical physics, Many-body problem, Convergence, Mathematical physics
Journal or Publication Title:	Journal of Statistical Physics
Publisher:	Springer New York LLC
ISSN:	0022-4715
Official Date:	September 2016
Dates:	Date Event September 2016 Published 20 July 2016 Available 1 March 2016 Accepted
Date of first compliant deposit:	27 July 2020
Volume:	164
Number:	5
Page Range:	pp. 1103-1121
DOI:	10.1007/s10955-016-1581-1
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access
RIOXX Funder/Project Grant:	Project/Grant ID RIOXX Funder Name Funder ID EP/H023348/1 [EPSRC] Engineering and Physical Sciences Research Council http://dx.doi.org/10.13039/501100000266

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