Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-07-25
Physics
Condensed Matter
Statistical Mechanics
6 pages, 7 figures, revtex
Scientific paper
10.1088/0305-4470/34/2/308
We introduce a deterministic, time-reversible version of the Ehrenfest urn model. The distribution of first-passage times from equilibrium to non-equilibrium states and vice versa is calculated. We find that average times for transition to non-equilibrium always scale exponentially with the system size, whereas the time scale for relaxation to equilibrium depends on microscopic dynamics. To illustrate this, we also look at deterministic and stochastic versions of the Ehrenfest model with a distribution of microscopic relaxation times.
Kanter Ido
Kinzel Wolfgang
Metzler Ralf
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