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"Gibbsian" Approach to Statistical Mechanics yielding Power Law Distributions

Treumann, R. A., and W. Baumjohann (2014), "Gibbsian" Approach to Statistical Mechanics yielding Power Law Distributions, arXive [cond-mat], 1406.6639, 6 Journal pages.

Abstract
Gibbsian statistical mechanics is extended into the domain of non-negligible correlations in phase space while respecting the fundamental laws of thermodynamics. The appropriate Gibbsian probability distribution is derived and the physical temperature identified. Consistent expressions for the canonical partition function are given. In a first application, the corresponding Boltzmann, Fermi and Bose-Einstein distributions are obtained. It is shown that the latter lose their typical quantum properties, i.e. the degenerate Fermi state and Bose-Einstein condensation. These distributions apply only to states at finite temperature with correlations. As a by-product these results exclude any negative absolute temperatures also in the Boltzmann limit.
Further information
BibTeX
@article{id1974,
  author = {R. A. Treumann and W. Baumjohann},
  journal = {arXive [cond-mat]},
  note = {6 Journal pages},
  title = {{"Gibbsian" Approach to Statistical Mechanics yielding Power Law Distributions}},
  volume = {1406.6639},
  year = {2014},
  url = {http://arxiv.org/abs/1406.6639},
}
EndNote
%0 Journal Article
%A Treumann, R. A.
%A Baumjohann, W.
%D 2014
%V 1406.6639
%J arXive [cond-mat]
%Z 6 Journal pages
%T "Gibbsian" Approach to Statistical Mechanics yielding Power Law Distributions
%U http://arxiv.org/abs/1406.6639
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Printed 12. Dec 2019 07:31