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Self-interaction of Brownian particles coupled with thermodynamic processes

1998; Elsevier BV; Volume: 42; Issue: 3 Linguagem: Inglês

10.1016/s0034-4877(99)80005-6

1879-0674

Piotr Biler, A. Krzywicki, Tadeusz Nadzieja,

Stochastic processes and statistical mechanics

We propose some nonlinear parabolic-elliptic systems modelling the evolution of the density of particles (charged or massive) interacting with themselves, and coupled to a temperature field. These models are thermodynamically consistent, i.e., they obey the first and the second laws of thermodynamics. We study their steady states and the asymptotic behaviour for large time.