DOMAIN GROWTH IN COMPRESSIBLE 2D ISING MODELS UNDERGOING PHASE SEPARATION

被引:2
作者
Mitchell, S. J. [1 ]
Landau, D. P.
机构
[1] Univ Georgia, Ctr Simulat Phys, Athens, GA 30602 USA
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2009年 / 20卷 / 09期
基金
美国国家科学基金会;
关键词
Ising model; compressible model; phase separation; domain growth; MONTE-CARLO SIMULATIONS; SPINODAL DECOMPOSITION; EXTERNAL STRESSES; BINARY-ALLOYS; DYNAMICS; KINETICS; MIXTURES; BEHAVIOR; SYSTEMS; MISFIT;
D O I
10.1142/S0129183109014394
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
High precision Monte Carlo simulations are used to study domain growth in a compressible two-dimensional spin-exchange Ising model with continuous particle positions and zero total magnetization. For mismatched systems, we measure significant deviations from the theoretically expected late-time domain growth, R(t) - A + Bt(n) with n = 1/3. For a compressible model with no mismatch, we measure only a slight deviation from n = 1/3. Our results indicate that our current understanding of domain growth is incomplete.
引用
收藏
页码:1325 / 1333
页数:9
相关论文
共 32 条
[1]   MONTE-CARLO STUDY OF GROWTH IN THE TWO-DIMENSIONAL SPIN-EXCHANGE KINETIC ISING-MODEL [J].
AMAR, JG ;
SULLIVAN, FE ;
MOUNTAIN, RD .
PHYSICAL REVIEW B, 1988, 37 (01) :196-208
[2]   Anomalous phase separation dynamics in the presence of surfactants [J].
Bernardes, AT ;
Liverpool, TB ;
Stauffer, D .
PHYSICAL REVIEW E, 1996, 54 (03) :R2220-R2223
[3]  
BINDER K, 1974, PHYS REV LETT, V33, P1006, DOI 10.1103/PhysRevLett.33.1006
[4]   THEORY OF PHASE-ORDERING KINETICS [J].
BRAY, AJ .
ADVANCES IN PHYSICS, 1994, 43 (03) :357-459
[5]   Molecular dynamics study of phase separation kinetics in thin films [J].
Das, SK ;
Puri, S ;
Horbach, J ;
Binder, K .
PHYSICAL REVIEW LETTERS, 2006, 96 (01)
[6]   PHASE-DIAGRAM AND CRITICAL-BEHAVIOR OF THE SI-GE UNMIXING TRANSITION - A MONTE-CARLO STUDY OF A MODEL WITH ELASTIC DEGREES OF FREEDOM [J].
DUNWEG, B ;
LANDAU, DP .
PHYSICAL REVIEW B, 1993, 48 (19) :14182-14197
[7]   SCALING FUNCTIONS, SELF-SIMILARITY, AND THE MORPHOLOGY OF PHASE-SEPARATING SYSTEMS [J].
FRATZL, P ;
LEBOWITZ, JL ;
PENROSE, O ;
AMAR, J .
PHYSICAL REVIEW B, 1991, 44 (10) :4794-4811
[8]   Modeling of phase separation in alloys with coherent elastic misfit [J].
Fratzl, P ;
Penrose, O ;
Lebowitz, JL .
JOURNAL OF STATISTICAL PHYSICS, 1999, 95 (5-6) :1429-1503
[9]   Kinetics of joint ordering and decomposition in binary alloys [J].
Gorentsveig, VI ;
Fratzl, P ;
Lebowitz, JL .
PHYSICAL REVIEW B, 1997, 55 (05) :2912-2919
[10]   Spinodal decomposition in fluids [J].
Grant, M ;
Elder, KR .
PHYSICAL REVIEW LETTERS, 1999, 82 (01) :14-16