Diffusion with restrictions
统计力学
2009-10-31 v1
摘要
A non--linear diffusion equation is derived by taking into account hopping rates depending on the occupation of next neighbouring sites. There appears additonal repulsive and attractive forces leading to a changed local mobiltiy. The stationary and the time dependent behaviour of the system are studied based upon the master equation approach. Different to conventional diffusion it results a time dependent bump the position of which increases with time described by an anomalous diffusion exponent. The fractal dimension of this random walk is exclusively determined by the space dimension. The applicabilty of the model to descibe glasses is discussed.
引用
@article{arxiv.cond-mat/9805039,
title = {Diffusion with restrictions},
author = {S. Artz and M. Schulz and S. Trimper},
journal= {arXiv preprint arXiv:cond-mat/9805039},
year = {2009}
}
备注
1 figure, can be send on request