Regensburg 2000 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 46: POSTER II

DY 46.13: Poster

Donnerstag, 30. März 2000, 15:00–18:00, D

Fractional Diffusion and Entropy Production — •Christian Schulzky¹, Chris Essex², Astrid Franz¹, and Karl Heinz Hoffmann¹ — ¹TU Chemnitz,Institut für Physik,09131 Chemnitz — ²Department of Applied Mathematics, University of Western Ontario, London, Canada N6A 5B7

The entropy production rate for fractional diffusion processes is calculated and shows an apparently counter-intuitive increase with the transition from dissipative diffusion behaviour to reversible wave propagation. This is deduced directly from invariant and non-invariant factors of the (probability) density function, arising from a group method applied to the fractional differential equation which exists between the pure wave and diffusion equations. However, the counter-intuitive increase within the transition turns out to be a consequence of increasing quickness of processes as the wave case is approached. When this aspect is removed the entropy shows the expected decrease with the approach to the reversible wave limit.