Multiscaling to standard-scaling crossover in the Bray-Humayun model for phase-ordering kinetics

被引:9
作者
Castellano, C
Zannetti, M
机构
[1] UNIV SALERNO,IST NAZL FIS MAT,UNITA SALERNO,I-84081 BARONISSI,ITALY
[2] UNIV SALERNO,DIPARTIMENTO FIS,I-84081 BARONISSI,ITALY
来源
PHYSICAL REVIEW E | 1996年 / 53卷 / 02期
关键词
D O I
10.1103/PhysRevE.53.1430
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The Bray-Humayun model for phase-ordering dynamics is solved numerically in one and two space dimensions with conserved and nonconserved order parameter. The scaling properties are analyzed in detail, and we find the crossover from multiscaling to standard scaling in the conserved case. Both in the nonconserved case, and in the conserved case when standard scaling holds an exponential tail in the scaling function is found.
引用
收藏
页码:1430 / 1440
页数:11
相关论文
共 23 条
[1]   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
[2]   THEORY OF PHASE-ORDERING KINETICS [J].
BRAY, AJ .
ADVANCES IN PHYSICS, 1994, 43 (03) :357-459
[3]   SCALING AND MULTISCALING IN THE ORDERING KINETICS OF A CONSERVED ORDER PARAMETER [J].
BRAY, AJ ;
HUMAYUN, K .
PHYSICAL REVIEW LETTERS, 1992, 68 (10) :1559-1562
[4]   UNIVERSAL SCALING FUNCTION FOR DOMAIN GROWTH IN THE GLAUBER-ISING CHAIN [J].
BRAY, AJ .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (02) :L67-L72
[5]  
BRAY AJ, 1992, PHYS REV LETT, V67, pJ670
[6]   MULTISCALING IN GROWTH-KINETICS [J].
CONIGLIO, A ;
ZANNETTI, M .
EUROPHYSICS LETTERS, 1989, 10 (06) :575-580
[7]   ON THE NATURE OF DYNAMIC SCALING IN SPINODAL DECOMPOSITION [J].
CONIGLIO, A ;
OONO, Y ;
SHINOZAKI, A ;
ZANNETTI, M .
EUROPHYSICS LETTERS, 1992, 18 (01) :59-62
[8]   NATURE OF THE GAUSSIAN APPROXIMATIONS IN PHASE-ORDERING KINETICS [J].
DESIENA, S ;
ZANNETTI, M .
PHYSICAL REVIEW E, 1994, 50 (04) :2621-2629
[9]   GROWTH-KINETICS OF SYSTEMS WITH CONTINUOUS SYMMETRY [J].
LIU, F ;
MAZENKO, GF .
PHYSICAL REVIEW B, 1992, 45 (13) :6989-7001
[10]   GROWTH OF ORDER IN A SYSTEM WITH CONTINUOUS SYMMETRY [J].
MAZENKO, GF ;
ZANNETTI, M .
PHYSICAL REVIEW LETTERS, 1984, 53 (22) :2106-2109