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Uniform Approximation of a Maxwellian Thermostat by Finite Reservoirs.
- Source :
- Communications in Mathematical Physics; Apr2017, Vol. 351 Issue 1, p311-339, 29p
- Publication Year :
- 2017
-
Abstract
- We study a system of M particles in contact with a large but finite reservoir of $${N \gg M}$$ particles within the framework of the Kac master equation modeling random collisions. The reservoir is initially in equilibrium at temperature $${T=\beta^{-1}}$$ . We show that for large N, this evolution can be approximated by an effective equation in which the reservoir is described by a Maxwellian thermostat at temperature T. This approximation is proven for a suitable $${L^2}$$ norm as well as for the Gabetta-Toscani-Wennberg (GTW) distance and is uniform in time. [ABSTRACT FROM AUTHOR]
- Subjects :
- APPROXIMATION theory
THERMOSTAT
EQUILIBRIUM
TEMPERATURE effect
MATHEMATICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 00103616
- Volume :
- 351
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Communications in Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 121413287
- Full Text :
- https://doi.org/10.1007/s00220-016-2803-8