Subdiffusion-limited single species reactions
统计力学
2007-05-23 v1 材料科学
软凝聚态物质
摘要
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.
引用
@article{arxiv.cond-mat/0111261,
title = {Subdiffusion-limited single species reactions},
author = {S. B. Yuste and Katja Lindenberg},
journal= {arXiv preprint arXiv:cond-mat/0111261},
year = {2007}
}