Stabilities of generalized entropies
Statistical Mechanics
2009-11-10 v1
Abstract
The generalized entropic measure, which is optimized by a given arbitrary distribution under the constraints on normalization of the distribution and the finite ordinary expectation value of a physical random quantity, is considered and its Lesche stability property (that is different from thermodynamic stability) is examined. A general condition, under which the generalized entropy becomes stable, is derived. Examples known in the literature, including the entropy for the stretched-exponential distribution, the quantum-group entropy, and the kappa-entropy are discussed.
Cite
@article{arxiv.cond-mat/0401290,
title = {Stabilities of generalized entropies},
author = {Sumiyoshi Abe and G. Kaniadakis and A. M. Scarfone},
journal= {arXiv preprint arXiv:cond-mat/0401290},
year = {2009}
}
Comments
16 pages, no figures