On the law of increase of entropy for nonequililbrium systems

Details On the law of increase of entropy for nonequililbrium systems On the law of increase of entropy for nonequililbrium systems

2006-09-12

arxiv.org/abs/cond-mat/0609283v1

J. Stat. Mech. (2006) P09015

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

Under the assumption of a smooth full phase-space distribution function we prove that the nonequilibrium entropy S which is considered as a functional of the distribution vector for an N-body system possesses a lower bound and therefore can not decrease. We also compute the rate of change of S, dS/dt, showing that this is non-negative and having a global minimum at equilibrium. As an aplication we obtain a generalization of the (Bhatnager-Gross-Krook) BGK relaxation model.

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