We consider a one-dimensional model of a system in contact with a heat bath: A particle (the system or molecule) of mass M, confined to the unit interval [0, 1], is surrounded by an infinite ideal gas (the bath of atoms) of point particles of mass m with which it interacts via elastic collisions. The atoms are not affected by the walls at 0 and at 1. We obtain "convergence to equilibrium" for the molecule, from essentially any initial distribution on its position and velocity. The infinite composite system of molecule and bath has very good ergodic properties: it is a Bernoulli system.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics