Lesche Stability of $\kappa$-Entropy
Abstract
The Lesche stability condition for the Shannon entropy [B. Lesche, J. Stat. Phys. 27, 419 (1982)], represents a fundamental test, for its experimental robustness, for systems obeying the Maxwell-Boltzmann statistical mechanics. Of course, this stability condition must be satisfied by any entropic functional candidate to generate non-conventional statistical mechanics. In the present effort we show that the -entropy, recently introduced in literature [G. Kaniadakis, Phys. Rev. E 66, 056125 (2002)], satisfies the Lesche stability condition.
Cite
@article{arxiv.cond-mat/0310728,
title = {Lesche Stability of $\kappa$-Entropy},
author = {G. Kaniadakis and A. M. Scarfone},
journal= {arXiv preprint arXiv:cond-mat/0310728},
year = {2009}
}
Comments
Presented at next2003, Second Sardinian International Conference on News and Expectations in Thermostatistics, Villasimius (Cagliari) Italy, 21st-28th September 2003. In press Physica A (2004). Elsevier LaTeX macros, 10 pages, minor changes