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Trapping reactions with subdiffusive traps and particles characterized by different anomalous diffusion exponents

S. B. Yuste·Katja Lindenberg
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Abstract

A number of results for reactions involving subdiffusive species all with the same anomalous exponent gamma have recently appeared in the literature and can often be understood in terms of a subordination principle whereby time t in ordinary diffusion is replaced by t^gamma. However, very few results are known for reactions involving different species characterized by different anomalous diffusion exponents. Here we study the reaction dynamics of a (sub)diffusive particle surrounded by a sea of (sub)diffusive traps in one dimension. We find rigorous results for the asymptotic survival probability of the particle in most cases, with the exception of the case of a particle that diffuses normally while the anomalous diffusion exponent of the traps is smaller than 2/3.

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BibTeXRIS

S. B. Yuste, Katja Lindenberg. 2005-10-23. Trapping reactions with subdiffusive traps and particles characterized by different anomalous diffusion exponents. https://doi.org/10.1103/physreve.72.061103

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