M ar 2 01 6 Uniform Approximation of a Maxwellian Thermostat by Finite Reservoirs
نویسنده
چکیده
We study the evolution of a system of M particles in contact with a large reservoir of N >> M particles. The reservoir is initially in equilibrium at temperature T = β−1. The evolution of the system and reservoir is described via a suitable Kac-style collision process. We show that for large N, this evolution can be effectively described by replacing the reservoir with a Maxwellian thermostat at temperature T . This description provides an approximation that is uniform in time both in a suitable L2 norm and in the Gabetta-Toscani-Wennberg (GTW) distance.
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