Average shape of fluctuations for subdiffusive walks
统计力学
2007-05-23 v2
摘要
We study the average shape of fluctuations for subdiffusive processes, i.e., processes with uncorrelated increments but where the waiting time distribution has a broad power-law tail. This shape is obtained analytically by means of a fractional diffusion approach. We find that, in contrast with processes where the waiting time between increments has finite variance, the fluctuation shape is no longer a semicircle: it tends to adopt a table-like form as the subdiffusive character of the process increases. The theoretical predictions are compared with numerical simulation results.
引用
@article{arxiv.cond-mat/0310491,
title = {Average shape of fluctuations for subdiffusive walks},
author = {Santos B. Yuste and L. Acedo},
journal= {arXiv preprint arXiv:cond-mat/0310491},
year = {2007}
}
备注
4 pages, 6 figures. Accepted for publication Phys. Rev. E (Replaced for the latest version, in press.) Section II rewritten