Domain number distribution in the Nonequilibrium Ising model

被引:25
作者
Ben-Naim, E [1 ]
Krapivsky, PL
机构
[1] Univ Calif Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87544 USA
[2] Univ Calif Los Alamos Natl Lab, Ctr Nonlinear Studies, Los Alamos, NM USA
[3] Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA
[4] Boston Univ, Dept Phys, Boston, MA 02215 USA
关键词
coarsening; kinetic Ising model; Potts model; scaling; persistence;
D O I
10.1023/B:JOSS.0000033243.27556.99
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study domain distributions in the one-dimensional Ising model subject to zero-temperature Glauber and Kawasaki dynamics. The survival probability of a domain, S(t) similar to t(-psi), and an unreacted domain, O-1(t) similar to t(-delta), are characterized by two independent nontrivial exponents. We develop an independent interval approximation that provides close estimates for many characteristics of the domain length and number distributions including the scaling exponents.
引用
收藏
页码:583 / 601
页数:19
相关论文
共 55 条
[1]   INTER-PARTICLE DISTRIBUTION-FUNCTIONS FOR ONE-SPECIES DIFFUSION-LIMITED ANNIHILATION, A+A-]0 [J].
ALEMANY, PA ;
BENAVRAHAM, D .
PHYSICS LETTERS A, 1995, 206 (1-2) :18-25
[2]   DIFFUSION ANNIHILATION IN ONE DIMENSION AND KINETICS OF THE ISING-MODEL AT ZERO TEMPERATURE [J].
AMAR, JG ;
FAMILY, F .
PHYSICAL REVIEW A, 1990, 41 (06) :3258-3262
[3]   AVALANCHES AND SELF-ORGANIZATION IN CELLULAR MAGNETIC-DOMAIN PATTERNS [J].
BABCOCK, KL ;
WESTERVELT, RM .
PHYSICAL REVIEW LETTERS, 1990, 64 (18) :2168-2171
[4]   STATICS AND DYNAMICS OF A DIFFUSION-LIMITED REACTION - ANOMALOUS KINETICS, NONEQUILIBRIUM SELF-ORDERING, AND A DYNAMIC TRANSITION [J].
BENAVRAHAM, D ;
BURSCHKA, MA ;
DOERING, CR .
JOURNAL OF STATISTICAL PHYSICS, 1990, 60 (5-6) :695-728
[5]  
BENDER CM, 1984, ADV MATH METHODS SCI
[6]   Coarsening and persistence in the voter model [J].
BenNaim, E ;
Frachebourg, L ;
Krapivsky, PL .
PHYSICAL REVIEW E, 1996, 53 (04) :3078-3087
[7]   Reaction kinetics of cluster impurities [J].
BenNaim, E .
PHYSICAL REVIEW E, 1996, 53 (02) :1566-1571
[8]  
BENNAIM E, 1996, PHYS REV E, V53, P291
[9]   NONTRIVIAL ALGEBRAIC DECAY IN A SOLUBLE MODEL OF COARSENING [J].
BRAY, AJ ;
DERRIDA, B ;
GODRECHE, C .
EUROPHYSICS LETTERS, 1994, 27 (03) :175-180
[10]   THEORY OF PHASE-ORDERING KINETICS [J].
BRAY, AJ .
ADVANCES IN PHYSICS, 1994, 43 (03) :357-459