Lesche Stability of $κ$-Entropy

Details Lesche Stability of $κ$-Entropy Lesche Stability of $κ$-Entropy

2003-10-30

arxiv.org/abs/cond-mat/0310728v2

Physica A 340 (2004) 102-109

Physics

Condensed Matter

Statistical Mechanics

Presented at next2003, Second Sardinian International Conference on News and Expectations in Thermostatistics, Villasimius (Ca

Scientific paper

10.1016/j.physa.2004.03.083

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 $\kappa$-entropy, recently introduced in literature [G. Kaniadakis, Phys. Rev. E 66, 056125 (2002)], satisfies the Lesche stability condition.

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