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DY: Dynamik und Statistische Physik

DY 51: Allgemeine Statistische Physik III

DY 51.3: Talk

Friday, March 26, 1999, 10:15–10:30, R1

Thermostating by deterministic scattering — •R. Klages, K. Rateitschak, Chr. Wagner, and G. Nicolis — Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles

We present a mechanism for thermalizing a moving particle by microscopic deterministic scattering. As an example, we consider the periodic Lorentz gas. We modify the collision rules such that they include energy transfer between particle and scatterer. The scatterer mimics a thermal reservoir with arbitrarily many degrees of freedom. The complete system is deterministic, time-reversible, and exhibits a microcanonical density in equilibrium. In the limit of the disk representing infinitely many degrees of freedom and by applying an electric field the system goes into a nonequilibrium steady state. The mechanism works as well for thermalizing a many-particle system of moving hard disks under shear, or with a temperature gradient, at the boundaries.