Abstract

The problem of capture of particles experiencing normal diffusion as well as anomalous subdiffusion to absorbing traps has been investigated. It is shown that two characteristic diffusion times (and, accordingly, three time intervals) emerge in such a problem. It is established that new temporal (power-law and fractional–exponential) asymptotic forms of the particle survival probability appear in these intervals, which are determined by the character of diffusion of particles in strongly anisotropic media.

中文翻译：

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异常扩散介质中捕集阱中颗粒的存活概率的新的时间渐近性

摘要

已经研究了捕获具有正向扩散以及异常向扩散扩散到吸收陷阱的粒子的问题。结果表明，在这个问题上出现了两个特征扩散时间（因此，三个时间间隔）。已经确定，在这些间隔中出现了粒子生存概率的新的时间（幂律和分数-指数）渐近形式，这取决于粒子在强各向异性介质中的扩散特性。