On reaction-subdiffusion equations
统计力学
2009-11-11 v1 无序系统与神经网络
摘要
To analyze possible generalizations of reaction-diffusion schemes for the case of subdiffusion we discuss a simple monomolecular conversion A --> B. We derive the corresponding kinetic equations for local A and B concentrations. Their form is rather unusual: The parameters of reaction influence the diffusion term in the equation for a component A, a consequence of the nonmarkovian nature of subdiffusion. The equation for a product contains a term which depends on the concentration of A at all previous times. Our discussion shows that reaction-subdiffusion equations may not resemble the corresponding reaction-diffusion ones and are not obtained by a trivial change of the diffusion operator for a subdiffusion one.
引用
@article{arxiv.cond-mat/0510354,
title = {On reaction-subdiffusion equations},
author = {I. M. Sokolov and M. G. W. Schmidt and F. Sagues},
journal= {arXiv preprint arXiv:cond-mat/0510354},
year = {2009}
}