Voter dynamics on an Ising ladder: coarsening and persistence

被引：5

作者：

Shukla, P ^{[1
]}

机构：

[1] CEA Saclay, Serv Phys Theor, F-91191 Gif Sur Yvette, France

[2] NE Hill Univ, Dept Phys, Shillong 793022, Meghalaya, India

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2005年 / 38卷 / 24期

关键词：

D O I：

10.1088/0305-4470/38/24/004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Coarsening and persistence of Ising spins on a ladder is examined under voter dynamics. The density of domain walls decreases algebraically with time as t(-1/2) for sequential as well as parallel dynamics. The persistence probability decreases as t(-theta s) under sequential dynamics and as t(-theta p) under parallel dynamics where theta(p) = 2 theta(s) approximate to 0.88. Numerical values of the exponents are explained. The results are compared with the voter model on one- and two-dimensional lattices, as well as Ising model on a ladder under zero-temperature Glauber dynamics.

引用

页码：5441 / 5451

页数：11

共 26 条

[1] Bifurcations and patterns in compromise processes [J].

Ben-Naim, E ;

Krapivsky, PL ;

Redner, S .

PHYSICA D-NONLINEAR PHENOMENA, 2003, 183 (3-4) :190-204

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

BenNaim, E ;

Frachebourg, L ;

Krapivsky, PL .

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

[3]

BENNAIM E, 2005, CONDMAT0503451

[4] THEORY OF PHASE-ORDERING KINETICS [J].

BRAY, AJ .

ADVANCES IN PHYSICS, 1994, 43 (03) :357-459

[5] Incomplete ordering of the voter model on small-world networks [J].

Castellano, C ;

Vilone, D ;

Vespignani, A .

EUROPHYSICS LETTERS, 2003, 63 (01) :153-158

[6] Surprises on the way from one- to two-dimensional quantum magnets: The ladder materials [J].

Dagotto, E ;

Rice, TM .

SCIENCE, 1996, 271 (5249) :618-623

[7] EXACT FIRST-PASSAGE EXPONENTS OF 1D DOMAIN GROWTH - RELATION TO A REACTION-DIFFUSION MODEL [J].

DERRIDA, B ;

HAKIM, V ;

PASQUIER, V .

PHYSICAL REVIEW LETTERS, 1995, 75 (04) :751-754

[8] Exact exponent for the number of persistent spins in the zero-temperature dynamics of the one-dimensional potts model [J].

Derrida, B ;

Hakim, V ;

Pasquier, V .

JOURNAL OF STATISTICAL PHYSICS, 1996, 85 (5-6) :763-797

[9] Large deviations and nontrivial exponents in coarsening systems [J].

Dornic, I ;

Godreche, C .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (24) :5413-5429

[10]

FORTUNATO S, 2005, CONDMAT0501730

← 1 2 3 →