The q-exponential family in statistical physics

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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18 pages, 4 figures, proceedings of SigmaPhi 2008

Scientific paper

10.2478/s11534-008-0150-x

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.

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