Local Persistence in the Directed Percolation Universality Class
Statistical Mechanics
2008-04-16 v2
Abstract
We revisit the problem of local persistence in directed percolation, reporting improved estimates of the persistence exponent in 1+1 dimensions, discovering strong corrections to scaling in higher dimensions, and investigating the mean field limit. Moreover, we introduce a graded persistence probability that a site does not flip more than n times and demonstrate how local persistence can be studied in seed simulations. Finally, the problem of spatial (as opposed to temporal) persistence is investigated.
Cite
@article{arxiv.0801.4705,
title = {Local Persistence in the Directed Percolation Universality Class},
author = {J. Fuchs and J. Schelter and F. Ginelli and H. Hinrichsen},
journal= {arXiv preprint arXiv:0801.4705},
year = {2008}
}
Comments
LaTeX, 24 pages, 12 figures; references added and corrected, section 4.3 rewritten