Entropy methods in random motion

Piotr Garbaczewski

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Entropy methods in random motion

Piotr Garbaczewski

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Abstract

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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Piotr Garbaczewski. 2005-10-20. Entropy methods in random motion. https://arxiv.org/abs/cond-mat/0510533

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