Local Persistence in the Directed Percolation Universality Class
arXiv:0801.4705 · doi:10.1088/1742-5468/2008/04/P04015
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.
LaTeX, 24 pages, 12 figures; references added and corrected, section 4.3 rewritten