NUMERICAL STUDY OF A MORPHOLOGY DIAGRAM IN THE LARGE UNDERCOOLING LIMIT USING A PHASE-FIELD MODEL

被引:31
作者
KUPFERMAN, R
SHOCHET, O
BENJACOB, E
机构
[1] School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University
来源
PHYSICAL REVIEW E | 1994年 / 50卷 / 02期
关键词
D O I
10.1103/PhysRevE.50.1005
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
We present a numerical study of asymptotic late-stage growth in a phase-field model. After a long transient time the patterns are independent of initial conditions, and have a well-defined shape-preserving envelope which propagates at constant velocity. To distinguish between implicit and explicit anisotropies, a model with explicit fourfold anisotropy is solved on a triangular lattice. Distinct morphologies are observed, characterized by the envelope shape and by their constituent growth elements (dendrites, parity-broken dendrites, or tip-splitting fingers).
引用
收藏
页码:1005 / 1008
页数:4
相关论文
共 26 条
[1]  
BENAMAR M, 1986, EUROPHYS LETT, V2, P307, DOI 10.1209/0295-5075/2/4/008
[2]   EXPERIMENTAL DEMONSTRATION OF THE ROLE OF ANISOTROPY IN INTERFACIAL PATTERN-FORMATION [J].
BENJACOB, E ;
GODBEY, R ;
GOLDENFELD, ND ;
KOPLIK, J ;
LEVINE, H ;
MUELLER, T ;
SANDER, LM .
PHYSICAL REVIEW LETTERS, 1985, 55 (12) :1315-1318
[3]   THE FORMATION OF PATTERNS IN NONEQUILIBRIUM GROWTH [J].
BENJACOB, E ;
GARIK, P .
NATURE, 1990, 343 (6258) :523-530
[4]   KINETIC PHASE-DIAGRAM AND SCALING RELATIONS FOR STATIONARY DIFFUSIONAL GROWTH [J].
BRENER, E ;
MULLERKRUMBHAAR, H ;
TEMKIN, D .
EUROPHYSICS LETTERS, 1992, 17 (6BIS) :535-540
[5]   CRYSTAL-GROWTH IN A CHANNEL - NUMERICAL STUDY OF THE ONE-SIDED MODEL [J].
BRENER, E ;
MULLERKRUMBHAAR, H ;
SAITO, Y ;
TEMKIN, D .
PHYSICAL REVIEW E, 1993, 47 (02) :1151-1155
[6]   PATTERN SELECTION IN 2-DIMENSIONAL DENDRITIC GROWTH [J].
BRENER, EA ;
MELNIKOV, VI .
ADVANCES IN PHYSICS, 1991, 40 (01) :53-97
[7]   TRANSITIONS OF VISCOUS FINGERING PATTERNS IN NEMATIC LIQUID-CRYSTALS [J].
BUKA, A ;
KERTESZ, J ;
VICSEK, T .
NATURE, 1986, 323 (6087) :424-425
[8]  
BUKA A, 1993, EUROPHYS LETT, V2, P477
[9]   PHASE-FIELD METHODS FOR INTERFACIAL BOUNDARIES [J].
CAGINALP, G ;
FIFE, P .
PHYSICAL REVIEW B, 1986, 33 (11) :7792-7794
[10]   HIGHER-ORDER PHASE FIELD MODELS AND DETAILED ANISOTROPY [J].
CAGINALP, G ;
FIFE, P .
PHYSICAL REVIEW B, 1986, 34 (07) :4940-4943