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

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

1999-12-27

arxiv.org/abs/cond-mat/9912454v4

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1143/JPSJ.69.3830

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.

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