Entropy as a measure of diffusion
Statistical Mechanics
2013-05-24 v1
Abstract
The time variation of entropy, as an alternative to the variance, is proposed as a measure of the diffusion rate. It is shown that for linear and time-translationally invariant systems having a large-time limit for the density, at large times the entropy tends exponentially to a constant. For systems with no stationary density, at large times the entropy is logarithmic with a coefficient specifying the speed of the diffusion. As an example, the large time behaviors of the entropy and the variance are compared for various types of fractional-derivative diffusions.
Cite
@article{arxiv.1305.5407,
title = {Entropy as a measure of diffusion},
author = {Amir Aghamohammadi and Amir H. Fatollahi and Mohammad Khorrami and Ahmad Shariati},
journal= {arXiv preprint arXiv:1305.5407},
year = {2013}
}
Comments
latex2e, 1+10 pages, no fig