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Effect of Dissipation on Density Profile of One Dimensional Gas

Douglas A. Kurtze·Daniel C. Hong
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Abstract

We study the effect of dissipation on the density profile of a one dimensional gas that is subject to gravity. The gas is in thermal equilibrium at temperature T with a heat reservoir at the bottom wall. Perturbative analysis of the Boltzmann equation reveals that the correction due to dissipation resulting from inelastic collisions is positive for $0 z_c$ with z the vertical coordinate. The numerically determined value for $z_c$ is $mgz_c/k_BT\approx 1.1613$, where g is the gravitational constant and m is the particle mass.

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BibTeXRIS

Douglas A. Kurtze, Daniel C. Hong. 1998-02-09. Effect of Dissipation on Density Profile of One Dimensional Gas. https://doi.org/10.1016/s0378-4371(98)00081-8

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