Boltzmann's Entropy and Large Deviation Lyapunov Functionals for Closed and Open Macroscopic Systems
Mathematical Physics
2011-12-08 v1 Statistical Mechanics
math.MP
Abstract
I give a brief overview of the resolution of the apparent problem of reconciling time symmetric microscopic dynamic with time asymmetric equations describing the evolution of macroscopic variables. I then show how the large deviation function of the stationary state of the microscopic system can be used as a Lyapunov function for the macroscopic evolution equations.
Keywords
Cite
@article{arxiv.1112.1667,
title = {Boltzmann's Entropy and Large Deviation Lyapunov Functionals for Closed and Open Macroscopic Systems},
author = {Joel L. Lebowitz},
journal= {arXiv preprint arXiv:1112.1667},
year = {2011}
}