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Non-equilibrium steady states in Kac’s Model coupled to a thermostat
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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 ISSN 0022-4715.
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Official URL: http://dx.doi.org/10.1007/s10955-016-1581-1
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 | ||||||||
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| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Divisions: | Faculty of Science, Engineering and Medicine > 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: |
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| 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 (Creative Commons) | ||||||||
| Date of first compliant deposit: | 27 July 2020 | ||||||||
| Date of first compliant Open Access: | 27 July 2020 | ||||||||
| RIOXX Funder/Project Grant: |
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