Why the Maxwellian Distribution is the Attractive Fixed Point of the Boltzmann Equation
Chaotic Dynamics
2011-11-09 v1 Statistical Mechanics
Multiagent Systems
Statistics Theory
Classical Physics
Statistics Theory
Abstract
The origin of the Boltzmann factor is revisited. An alternative derivation from the microcanonical picture is given. The Maxwellian distribution in a mono-dimensional ideal gas is obtained by following this insight. Other possible applications, as for instance the obtaining of the wealth distribution in the human society, are suggested in the remarks.
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Cite
@article{arxiv.nlin/0611044,
title = {Why the Maxwellian Distribution is the Attractive Fixed Point of the Boltzmann Equation},
author = {Ricardo Lopez-Ruiz and Xavier Calbet},
journal= {arXiv preprint arXiv:nlin/0611044},
year = {2011}
}
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2 pages; 0 figures