Entropy Production by Logarithmic Decomposition
Statistical Mechanics
2014-04-30 v1
Abstract
In statistical physics, entropy is generally logarithm of probability. Therefore, if dynamics is decomposed by log, entropy production should be decomposed properly. In the present work, log-decomposition of dynamics is introduced. By which time evolution operator is logarithmically decomposed into a symmetric operator and an asymmetric factor. Path probability and path entropy production are also systematically and intuitively decomposed into symmetric and asymmetric parts. From symmetric operator, non-adiabatic entropy production is derived, whereas adiabatic entropy production is from asymmetric factor.
Cite
@article{arxiv.1404.7245,
title = {Entropy Production by Logarithmic Decomposition},
author = {Jang-il Sohn},
journal= {arXiv preprint arXiv:1404.7245},
year = {2014}
}