Dresden 2011 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 41: Brownian Motion, Stochastic Processes, Transport II
DY 41.8: Vortrag
Freitag, 18. März 2011, 12:15–12:30, HÜL 186
The entropy production paradox in the space-fractional diffusion equation case — •Janett Prehl1, Karl Heinz Hoffmann1, and Chris Essex2 — 1Institut für Physik, Technische Universität Chemnitz, D-09107 Chemnitz, Deutschland — 2Department of Applied Mathematics, The University of Western Ontario, London, Canada N6A 5B7
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.
[1] J. Prehl, C. Essex, K. H. Hoffmann, Physica A (2010) 389: 215–224