The q-exponential family in statistical physics
Jan Naudts
TL;DR
This paper explores the q-exponential family within nonextensive statistical physics, illustrating models like q-Gaussians and showing their relevance to microcanonical ensemble distributions.
Contribution
It introduces the q-exponential family in the context of nonextensive physics and demonstrates its application to microcanonical ensemble probabilities.
Findings
q-Gaussians are part of the q-exponential family
Microcanonical ensemble distributions belong to this family
Examples of models within this family are provided
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.
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