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Subdiffusion-limited single species reactions

S. B. Yuste·Katja Lindenberg
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Abstract

We consider the coagulation dynamics A+A -> A and the annihilation dynamics A+A -> 0 for particles moving subdiffusively in one dimension, both on a lattice and in a continuum. The analysis combines the "anomalous kinetics" and "anomalous diffusion" problems, each of which leads to interesting dynamics separately and to even more interesting dynamics in combination. We calculate both short-time and long-time concentrations, and compare and contrast the continuous and discrete cases. Our analysis is based on the fractional diffusion equation and its discrete analog.

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S. B. Yuste, Katja Lindenberg. 2001-11-14. Subdiffusion-limited single species reactions. https://arxiv.org/abs/cond-mat/0111261

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