Hard Disks in Narrow Channels
Statistical Mechanics
2009-11-10 v1 Chaotic Dynamics
Abstract
The thermodynamic and dynamical behavior of a gas of hard disks in a narrow channel is studied theoretically and numerically. Using a virial expansion we find that the pressure and collision frequency curves exhibit a singularity at a channel width corresponding to twice the disk diameter. As expected, the maximum Lyapunov exponent is also found to display a similar behavior. At high density these curves are dominated by solid-like configurations which are different from the bulk ones, due to the channel boundary conditions.
Cite
@article{arxiv.cond-mat/0401570,
title = {Hard Disks in Narrow Channels},
author = {Ch. Forster and D. Mukamel and H. A. Posch},
journal= {arXiv preprint arXiv:cond-mat/0401570},
year = {2009}
}