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Название: Stationary States for a Mechanical System with Stochastic Boundary Conditions
Авторы: Goldstein S., Kipnis C.
We consider a system of Newtonian particles, with a long-range repulsive pair potential, moving in a cavity whose surface temperature is spatially varying. When a particle hits the surface, it is "thermalized" at the temperature of the collision point. We prove that this system has a unique stationary ensemble, to which any initial distribution converges for large times. We show that this stationary ensemble depends continuously on the surface temperature profile.