Properties of the reaction front in a reaction subdiffusion process

Katja Lindenberg; Santos B. Yuste

doi:10.1117/12.544910

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25 May 2004 Properties of the reaction front in a reaction-subdiffusion process

Katja Lindenberg, Santos B. Yuste

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Proceedings Volume 5471, Noise in Complex Systems and Stochastic Dynamics II; (2004) https://doi.org/10.1117/12.544910
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain

Abstract

We study the reaction front for the process A + B → C in which the reagents move subdiffusively. We propose a fractional reaction-subdiffusion equation in which both the motion and the reaction terms are affected by the subdiffusive character of the process. Scaling solutions to these equations are presented and compared with those of a direct numerical integration of the equations. We find that for reactants whose mean square displacement varies sublinearly with time as (r²) ~ t^γ, the scaling behaviors of the reaction front can be recovered from those of the corresponding diffusive problem with the substitution t → t^γ.

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Katja Lindenberg and Santos B. Yuste "Properties of the reaction front in a reaction-subdiffusion process", Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); https://doi.org/10.1117/12.544910

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