Dresden 2006 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 26: Brownian Motion and Kinetic Theory II
DY 26.1: Vortrag
Dienstag, 28. März 2006, 16:15–16:30, H\"UL 186
On reaction-subdiffusion equations — •I.M. Sokolov1, M.G.W. Schmidt2, and F. Sagués2 — 1Humboldt-Universiät zu Berlin — 2Universitat de Barcelona
To analyze possible generalizations of reaction-diffusion schemes for the case of subdiffusion we discuss a simple monomolecular conversion A → B. We derive the corresponding kinetic equations for local A and B concentrations. Their form is rather unusual: The parameters of reaction influence the diffusion term in the equation for an educt A, a consequence of the nonmarkovian nature of subdiffusion. The equation for a product contains a term which depends on the educt concentration at all previous times. Our discussion shows that reaction-subdiffusion equations may not resemble the corresponding reaction-diffusion ones.
Preprint: cond-mat/0510354