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Hard Disks in Narrow Channels

Ch. Forster·D. Mukamel·H. A. Posch
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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.

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Ch. Forster, D. Mukamel, H. A. Posch. 2004-01-28. Hard Disks in Narrow Channels. https://doi.org/10.1103/physreve.69.066124

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