Toward Generalized Entropy Composition with Different q Indices and H-Theorem

Abstract

An attempt is made to construct composable composite entropy with different $q$ indices of subsystems and address the H-theorem problem of the composite system. Though the H-theorem does not hold in general situations, it is shown that some composite entropies do not decrease in time in near-equilibrium states and factorized states with negligibly weak interaction between the subsystems.

25 pages, corrected some typos, to be published in J. Phys. Soc. Jap

References in corpus (1)

• Composability and Generalized Entropy

Cited by in corpus (1)

• Remarks on $(1-q)$ expansion and factorization approximation in the Tsallis nonextensive statistical mechanics