Entropy methods in random motion

Details Entropy methods in random motion Entropy methods in random motion

2005-10-20

arxiv.org/abs/cond-mat/0510533v1

Acta Phys. Pol. B 37, 1503-1520, (2006)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

We analyze a contrasting dynamical behavior of Gibbs-Shannon and conditional Kullback-Leibler entropies, induced by time-evolution of continuous probability distributions. The question of predominantly purpose-dependent entropy definition for non-equilibrium model systems is addressed. The conditional Kullback-Leibler entropy is often believed to properly capture physical features of an asymptotic approach towards equilibrium. We give arguments in favor of the usefulness of the standard Gibbs-type entropy and indicate that its dynamics gives an insight into physically relevant, but generally ignored in the literature, non-equilibrium phenomena. The role of physical units in the Gibbs-Shannon entropy definition is iscussed.

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