Stationary states for a mechanical system with stochastic boundary conditions |
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| Authors: | S Goldsterin C Kipnis N Ianiro |
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| Institution: | (1) Department of Mathematics, Rutgers University, New Brunswick, New Jersey;(2) Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau Cedex, France;(3) Dipartimento di Matematica, Universita dell'Aquila, L'Aquila, Italy |
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| Abstract: | 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. |
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| Keywords: | Nonequilibrium steady state Newtonian Markov process stationary probability measure heat flow |
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