Classical Canonical Distribution for Dissipative Systems

Details Classical Canonical Distribution for Dissipative Systems Classical Canonical Distribution for Dissipative Systems

2003-11-24

arxiv.org/abs/cond-mat/0311536v1

Modern Physics Letters B 17 (2003) 1219-1226

Physics

Condensed Matter

Statistical Mechanics

6p. LaTeX

Scientific paper

10.1142/S0217984903006268

In this paper we derive the canonical distribution as a stationary solution of the Liouville equation for the classical dissipative system. Dissipative classical systems can have stationary states look like canonical Gibbs distributions. The condition for non-potential forces which leads to this stationary solution is very simple: the power of the non-potential forces must be directly proportional to the velocity of the Gibbs phase (phase entropy density) change. The example of the canonical distribution for a linear oscillator with friction is considered.

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