English

The q-exponential family in statistical physics

Statistical Mechanics 2009-11-13 v1

Abstract

The notion of generalised exponential family is considered in the restricted context of nonextensive statistical physics. Examples are given of models belonging to this family. In particular, the q-Gaussians are discussed and it is shown that the configurational probability distributions of the microcanonical ensemble belong to the q-exponential family.

Cite

@article{arxiv.0809.4764,
  title  = {The q-exponential family in statistical physics},
  author = {Jan Naudts},
  journal= {arXiv preprint arXiv:0809.4764},
  year   = {2009}
}

Comments

18 pages, 4 figures, proceedings of SigmaPhi 2008

R2 v1 2026-06-21T11:24:49.929Z