Journal of Statistical Physics

, Volume 41, Issue 5–6, pp 915–939 | Cite as

Stationary states for a mechanical system with stochastic boundary conditions

  • S. Goldsterin
  • C. Kipnis
  • N. Ianiro


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.

Key words

Nonequilibrium steady state Newtonian Markov process stationary probability measure heat flow 


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Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • S. Goldsterin
    • 1
  • C. Kipnis
    • 2
  • N. Ianiro
    • 3
  1. 1.Department of MathematicsRutgers UniversityNew Brunswick
  2. 2.Centre de Mathématiques AppliquéesEcole PolytechniquePalaiseau CedexFrance
  3. 3.Dipartimento di MatematicaUniversita dell'AquilaL'AquilaItaly

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