The q-exponential family in statistical physics
arXiv:0809.4764 · doi:10.2478/s11534-008-0150-x
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.
18 pages, 4 figures, proceedings of SigmaPhi 2008