Effect of Dissipation on Density Profile of One Dimensional Gas

Details Effect of Dissipation on Density Profile of One Dimensional Gas Effect of Dissipation on Density Profile of One Dimensional Gas

1998-02-09

arxiv.org/abs/cond-mat/9802093v1

Physics

Condensed Matter

Statistical Mechanics

9 Pages, 1 Figure. To Appear in Physica A

Scientific paper

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 $0z_c$ 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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