Trapping reactions with subdiffusive traps and particles

Details Trapping reactions with subdiffusive traps and particles Trapping reactions with subdiffusive traps and particles

2006-04-18

arxiv.org/abs/cond-mat/0604408v1

Proceedings of SPIE Vol. 5845, Pg. 27 (2005)

Physics

Condensed Matter

Soft Condensed Matter

Some errata corrected

Scientific paper

10.1117/12.609239

Reaction dynamics involving subdiffusive species is an interesting topic with only few known results, especially when the motion of different species is 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. Under some reasonable assumptions we find rigorous results for the asymptotic survival probability of the particle in most cases, but have not succeeded in doing so for a particle that diffuses normally while the anomalous diffusion exponent of the traps is smaller than 2/3.

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