Ja n 20 08 Local Persistence in the Directed Percolation Universality Class
نویسندگان
چکیده
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. Submitted to: Journal of Statistical Mechanics: Theory and Experiment PACS numbers: 05.50.+q, 05.70.Ln, 64.60.Ht Local Persistence in the Directed Percolation Universality Class 2
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1 8 M ar 2 00 8 Local Persistence in the Directed Percolation Universality Class
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 examine a graded persistence probability that a site does not flip more than m times and demonstrate how local persistence can be studi...
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