English

Generalized Statistics and the Fluctuation-Dissipation Theorem

Superconductivity 2007-05-23 v1

Abstract

If the generalized statistics suggested by Tsallis are used in statistical mechanics, the fluctuation-dissipation theorem no longer holds. Only in the limiting case where Boltzmann statistics are recovered is the theorem applicable. In spite of the fact that this allows for the possibility of condensation in any dimension, it is demonstrated that this is not always realized.

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Cite

@article{arxiv.cond-mat/0105542,
  title  = {Generalized Statistics and the Fluctuation-Dissipation Theorem},
  author = {H. Uys and H. G. Miller},
  journal= {arXiv preprint arXiv:cond-mat/0105542},
  year   = {2007}
}

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4 pages