A New Model for Ideal Gases. Decay to the Maxwellian Distribution
Adaptation and Self-Organizing Systems
2015-05-28 v1 Statistical Mechanics
Dynamical Systems
Abstract
In this work, a new model in kinetic gas theory for deriving the Maxwellian Velocity Distribution (MVD) is proposed. We construct an operator that governs the discrete time evolution of the velocity distribution. This operator, which conserves the momentum and the energy of the ideal gas, has the MVD as a fixed point. Moreover, for any initial out-of-equilibrium velocity distribution, it is shown that the gas decays to the equilibrium distribution, that is, to the MVD.
Keywords
Cite
@article{arxiv.1105.4813,
title = {A New Model for Ideal Gases. Decay to the Maxwellian Distribution},
author = {Elyas Shivanian and Ricardo Lopez-Ruiz},
journal= {arXiv preprint arXiv:1105.4813},
year = {2015}
}
Comments
12 pages, 5 figures