Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-01-30
J. Stat. Mech. P04015 (2008)
Physics
Condensed Matter
Statistical Mechanics
LaTeX, 24 pages, 12 figures; references added and corrected, section 4.3 rewritten
Scientific paper
10.1088/1742-5468/2008/04/P04015
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.
Fuchs J"urgen
Ginelli Francesco
Hinrichsen Haye
Schelter Jörg
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