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arXiv · 2603.23257

Information-theoretic structure for the Tsallis q-entropy in statistical physics

Marco A. S. Trindade
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Abstract

In this work, we derive information-theoretic properties for a modified Tsallis entropy, hereinafter referred to as q-entropy. We introduce the notions of joint q-entropy, conditional q-entropy, relative q-entropy, conditional mutual q-information, and establish several inequalities analogous to those of classical information theory. Within the context of Markov chains, these results are employed to prove a version of the second law of thermodynamics. Furthermore, we investigate the maximum entropy method in this setting. Finally, we prove a Tsallis version of the Shannon-McMillan-Breiman theorem and discuss the implications of these results in nonextensive statistical physics.

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Marco A. S. Trindade. 2026-03-24. Information-theoretic structure for the Tsallis q-entropy in statistical physics. https://arxiv.org/abs/2603.23257

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