Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
979263 | Physica A: Statistical Mechanics and its Applications | 2010 | 10 Pages |
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.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
J. Prehl, C. Essex, K.H. Hoffmann,