Non-unique way to generalize the Boltzmann-Gibbs distribution

Abstract

Alternative definitions are given of basic concepts of generalized thermostatistics. In particular, generalizations of Shannon's entropy, of the Boltzmann-Gibbs distribution, and of relative entropy are considered. Particular choices made in Tsallis' nonextensive thermostatistics are questioned.

Latex 9 pages

References in corpus (1)

• Continuity of a class of entropies and relative entropies

Cited by in corpus (2)

• Continuity of a class of entropies and relative entropies
• Generalized Non-extensive Statistical Distributions