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

共 95 条

[1] Numerical study of persistence in models with absorbing states -: art. no. 031104 [J].

Albano, EV ;

Muñoz, MA .

PHYSICAL REVIEW E, 2001, 63 (03) :031104-031104

[2] Statistics of persistent events:: An exactly soluble model [J].

Baldassarri, A ;

Bouchaud, JP ;

Dornic, I ;

Godrèche, C .

PHYSICAL REVIEW E, 1999, 59 (01) :R20-R23

[3] Statistics of persistent events in the binomial random walk:: Will the drunken sailor hit the sober man? [J].

Bauer, M ;

Godrèche, C ;

Luck, JM .

JOURNAL OF STATISTICAL PHYSICS, 1999, 96 (5-6) :963-1019

[4] Coarsening and persistence in the voter model [J].

BenNaim, E ;

Frachebourg, L ;

Krapivsky, PL .

PHYSICAL REVIEW E, 1996, 53 (04) :3078-3087

[5] Survival of a diffusing particle in a transverse shear flow: a first-passage problem with continuously varying persistence exponent [J].

Bray, AJ ;

Gonos, P .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (30) :L361-L366

[6] Survival of a diffusing particle in a transverse flow field [J].

Bray, AJ ;

Gonos, P .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2005, 38 (25) :5617-5626

[7] NONTRIVIAL ALGEBRAIC DECAY IN A SOLUBLE MODEL OF COARSENING [J].

BRAY, AJ ;

DERRIDA, B ;

GODRECHE, C .

EUROPHYSICS LETTERS, 1994, 27 (03) :175-180

[8] PROPORTION OF UNAFFECTED SITES IN A REACTION-DIFFUSION PROCESS [J].

CARDY, J .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (01) :L19-L24

[9] EPIDEMIC MODELS AND PERCOLATION [J].

CARDY, JL ;

GRASSBERGER, P .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (06) :L267-L271

[10] FIELD THEORETIC FORMULATION OF AN EPIDEMIC PROCESS WITH IMMUNIZATION [J].

CARDY, JL .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (18) :L709-L712

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