Local persistence in the directed percolation universality class

被引：22

作者：

Fuchs, Johannes ^{[1
]}

Schelter, Joerg ^{[1
]}

Ginelli, Francesco ^{[2
,3
]}

Hinrichsen, Haye ^{[1
]}

机构：

[1] Univ Wurzburg, Fak Phys & Astron, D-97074 Wurzburg, Germany

[2] Inst Syst Complexes, F-75005 Paris, France

[3] CEA Saclay, F-91191 Gif Sur Yvette, France

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2008年

关键词：

critical exponents and amplitudes (theory); percolation problems (theory); persistence (theory);

D O I：

10.1088/1742-5468/2008/04/P04015

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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 studied in seed simulations. Finally, the problem of spatial (as opposed to temporal) persistence is investigated.

引用

页数：24

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