Equilibrium Distributions in Open and Closed Statistical Systems
Chaotic Dynamics
2010-01-20 v1 Statistical Mechanics
Statistics Theory
Statistics Theory
Abstract
In this communication, the derivation of the Boltzmann-Gibbs and the Maxwellian distributions is presented from a geometrical point of view under the hypothesis of equiprobability. It is shown that both distributions can be obtained by working out the properties of the volume or the surface of the respective geometries delimited in phase space by an additive constraint. That is, the asymptotic equilibrium distributions in the thermodynamic limit are independent of considering open or closed homogeneous statistical systems.
Cite
@article{arxiv.1001.3327,
title = {Equilibrium Distributions in Open and Closed Statistical Systems},
author = {Ricardo Lopez-Ruiz and Jaime Sanudo and Xavier Calbet},
journal= {arXiv preprint arXiv:1001.3327},
year = {2010}
}
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5 pages, 0 figures