$\kappa$-熵的 Lesche 稳定性
统计力学
2009-11-10 v2
摘要
Shannon 熵的 Lesche 稳定性条件 [B. Lesche, J. Stat. Phys. 27, 419 (1982)]，对于服从麦克斯韦-玻尔兹曼统计力学的系统，代表了其实验稳健性的基本检验。当然，任何旨在生成非传统统计力学的熵泛函候选者都必须满足此稳定性条件。在本文中，我们证明了最近在文献中引入的 -熵 [G. Kaniadakis, Phys. Rev. E 66, 056125 (2002)] 满足 Lesche 稳定性条件。
引用
@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}
}
备注
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