Trapping reactions with subdiffusive traps and particles characterized by different anomalous diffusion exponents
摘要
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.
引用
@article{arxiv.cond-mat/0510561,
title = {Trapping reactions with subdiffusive traps and particles characterized by different anomalous diffusion exponents},
author = {S. B. Yuste and Katja Lindenberg},
journal= {arXiv preprint arXiv:cond-mat/0510561},
year = {2009}
}
备注
To appear in Phys. Rev. E