Weak Non Self-Averaging Behaviour for Diffusion in a Trapping Environment
凝聚态物理
2009-10-22 v1
摘要
The statistics of equally weighted random paths (ideal polymer) is studied in and dimensional percolating clusters. This is equivalent to diffusion in the presence of a trapping environment. The number of step walks follows a log-normal distribution with a variance growing asymptotically faster than the mean which leads to a weak non self-averaging behaviour. Critical exponents associated with the scaling of the two-points correlation function do not obey standard scaling laws.
引用
@article{arxiv.cond-mat/9309019,
title = {Weak Non Self-Averaging Behaviour for Diffusion in a Trapping Environment},
author = {Achille Giacometti and Amos Maritan},
journal= {arXiv preprint arXiv:cond-mat/9309019},
year = {2009}
}
备注
11 pages, Revtex 3.0, 5 figures available upon request, PURD-TH-93-02. Email:[email protected]