The superdiffusion entropy production paradox in the space-fractional case for extended entropies |
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Authors: | J Prehl C Essex |
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Institution: | a Institut für Physik, Technische Universität Chemnitz, D-09107 Chemnitz, Germany b Department of Applied Mathematics, The University of Western Ontario, London, Canada N6A 5B7 |
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Abstract: | Contrary to intuition, entropy production rates grow as reversible, wave-like behavior is approached. This paradox was discovered in time-fractional diffusion equations. It was found to persist for extended entropies and for space-fractional diffusion as well. This paper completes the possibilities by showing that the paradox persists for Tsallis and Rényi entropies in the space-fractional case. Complications arising due to the heavy tail solutions of space-fractional diffusion equations are discussed in detail. |
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Keywords: | 05 70 Ln 65 40 gd 66 10 C- |
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