Statistical mechanics of dissipative systems

Details Statistical mechanics of dissipative systems Statistical mechanics of dissipative systems

2002-04-06

arxiv.org/abs/cond-mat/0204157v1

Physics

Condensed Matter

Statistical Mechanics

5 pages 2 figures

Scientific paper

We propose a generalization of classical statistical mechanics which describes the behavior of dissipative systems placed in contact with a heat bath. In contrast to conventional statistical mechanics, which assigns probabilities to the states of the system, the generalized theory assigns probabilities to the trajectories of the system. The conditional probability of pairs of states at two different times is given by a path integral. We present two simple analytically-tractable examples which illustrate the predicted effect of temperature on the mean trajectories, hysteresis and drift of the system.

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