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Lesche Stability of $κ$-Entropy

G. Kaniadakis·A. M. Scarfone
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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 $κ$-entropy, recently introduced in literature [G. Kaniadakis, Phys. Rev. E 66, 056125 (2002)], satisfies the Lesche stability condition.

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G. Kaniadakis, A. M. Scarfone. 2004-02-11. Lesche Stability of $κ$-Entropy. https://doi.org/10.1016/j.physa.2004.03.083

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