Statistical mechanical theory of an oscillating isolated system. The relaxation to equilibrium

Details Statistical mechanical theory of an oscillating isolated system. The relaxation to equilibrium Statistical mechanical theory of an oscillating isolated system. The relaxation to equilibrium

2007-09-08

arxiv.org/abs/0709.1214v2

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1063/1.2800165

In this contribution we show that a suitably defined nonequilibrium entropy of an N-body isolated system is not a constant of the motion in general and its variation is bounded, the bounds determined by the thermodynamic entropy, i.e., the equilibrium entropy. We define the nonequilibrium entropy as a convex functional of the set of n-particle reduced distribution functions (n=0,......., N) generalizing the Gibbs fine-grained entropy formula. Additionally, as a consequence of our microscopic analysis we find that this nonequilibrium entropy behaves as a free entropic oscillator. In the approach to the equilibrium regime we find relaxation equations of the Fokker-Planck type, particularly for the one-particle distribution function.

Affiliated with

Also associated with

No associations

Rating

Statistical mechanical theory of an oscillating isolated system. The relaxation to equilibrium does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Statistical mechanical theory of an oscillating isolated system. The relaxation to equilibrium, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Statistical mechanical theory of an oscillating isolated system. The relaxation to equilibrium will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-44464