2003/10/10 by Vasily E. Tarasov · 2 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #cond-mat.soft #cond-mat.stat-mech #hep-th #physics.class-ph
paper · pdf · doi:10.1142/s0217984903006268
published as Modern Physics Letters B 17 (2003) 1219-1226 · 6p. LaTeX
openalex publication_date 2003/10/10 · arxiv created 2003/11/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 that 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.