Random Walk Approach to Simple Evolution Model
Condensed Matter
2008-02-03 v2
Abstract
The dynamics of the avalanche width in the evolution model is described using a random walk picture. In this approach the critical exponents for avalanche distribution, , and avalanche average time, , are found to be the same as in the previous mean field approximation but SOC appear at , which is very close to numerical value. A continuous time random walk is studied numerically as a possible way to reconstruct in simpler concepts the evolution model.
Cite
@article{arxiv.cond-mat/9511091,
title = {Random Walk Approach to Simple Evolution Model},
author = {L. Anton},
journal= {arXiv preprint arXiv:cond-mat/9511091},
year = {2008}
}
Comments
Revised version, a computational mistake eliminated, more explanation added, 16 pages, ReVTeX file