Computation of entropy increase for Lorentz gas and hard disks
Statistical Mechanics
2007-05-23 v1 Dynamical Systems
Abstract
Entropy functionals are computed for non-stationary distributions of particles of Lorentz gas and hard disks. The distributions consisting of beams of particles are found to have the largest amount of entropy and entropy increase. The computations show exponentially monotonic increase during initial time of rapid approach to equilibrium. The rate of entropy increase is bounded by sums of positive Lyapounov exponents.
Keywords
Cite
@article{arxiv.cond-mat/0605610,
title = {Computation of entropy increase for Lorentz gas and hard disks},
author = {Maurice Courbage and Seyed Majid Saberi Fathi},
journal= {arXiv preprint arXiv:cond-mat/0605610},
year = {2007}
}