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Geometrical derivation of the Boltzmann factor

Chaotic Dynamics 2009-11-13 v1 Statistical Mechanics Multiagent Systems Physics and Society

Abstract

We show that the Boltzmann factor has a geometrical origin. Its derivation follows from the microcanonical picture. The Maxwell-Boltzmann distribution or the wealth distribution in human society are some direct applications of this new interpretation.

Keywords

Cite

@article{arxiv.0707.4081,
  title  = {Geometrical derivation of the Boltzmann factor},
  author = {Ricardo Lopez-Ruiz and Jaime Sanudo and Xavier Calbet},
  journal= {arXiv preprint arXiv:0707.4081},
  year   = {2009}
}

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7 pages, 0 figures