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arXiv · 2512.03075

Kappa Entropy and its Thermodynamic Connection

J. A. S. Lima·M. H. Benetti
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Abstract

Adopting a bottom-up perspective, we propose a novel two-parametric nonadditive entropy, $S_{\kappa\ell}$, associated with a Kappa-type power-law velocity distribution, $F_{\kappa\ell}(v)$, recently derived in the literature. By formulating an extended Neo-Boltzmannian microstate counting procedure and employing standard averaging techniques, we demonstrate that the fundamental laws of thermodynamics are preserved within this generalized power-law framework only whether $\ell=-5/2$, regardless of the values assumed by the $\kappa$-parameter.

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J. A. S. Lima, M. H. Benetti. 2025-11-27. Kappa Entropy and its Thermodynamic Connection. https://arxiv.org/abs/2512.03075

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