Heat diffusion anisotropy in dendritic growth: phase field simulations and experiments in liquid crystals

被引:18
作者
Gonzalez-Cinca, R
Ramirez-Piscina, L
Casademunt, J
Hernandez-Machado, A
Toth-Katona, T
Borzsonyi, T
Buka, A
机构
[1] Univ Politecn Catalunya, Dept Fis Aplicada, E-08034 Barcelona, Spain
[2] Univ Barcelona, Fac Fis, Dept ECM, E-08028 Barcelona, Spain
[3] Hungarian Acad Sci, Solid State Phys Res Inst, H-1525 Budapest, Hungary
关键词
dendrites; anisotropy; liquid crystals; phase held; interfacial instability;
D O I
10.1016/S0022-0248(98)00505-3
中图分类号
O7 [晶体学];
学科分类号
0702 ; 070205 ; 0703 ; 080501 ;
摘要
An anisotropic heat diffusion coefficient is introduced in order to study some interfacial growth phenomena. This anisotropy has been incorporated in a phase held model which has been studied numerically to reproduce some fundamental solidification situations (needle crystal growth) as well as the dynamics of a nematic-smectic-B interface. As a general result, we find that dendrites grow faster in the lower heat diffusion direction. Simulation results are compared with experiments with remarkable qualitative agreement. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:712 / 719
页数:8
相关论文
共 21 条
[1]  
[Anonymous], 1988, DYNAMICS CURVED FRON
[2]  
[Anonymous], 1987, LECT THEORY PATTERN
[3]   THE FORMATION OF PATTERNS IN NONEQUILIBRIUM GROWTH [J].
BENJACOB, E ;
GARIK, P .
NATURE, 1990, 343 (6258) :523-530
[4]   MORPHOLOGICAL INSTABILITY IN PHASE-FIELD MODELS OF SOLIDIFICATION [J].
BRAUN, RJ ;
MCFADDEN, GB ;
CORIELL, SR .
PHYSICAL REVIEW E, 1994, 49 (05) :4336-4352
[5]   PATTERN SELECTION IN 2-DIMENSIONAL DENDRITIC GROWTH [J].
BRENER, EA ;
MELNIKOV, VI .
ADVANCES IN PHYSICS, 1991, 40 (01) :53-97
[6]   EQUILIBRIUM SHAPES OF A NEMATIC - SMECTIC-B LIQUID-CRYSTAL INTERFACE [J].
BUKA, A ;
KATONA, TT ;
KRAMER, L .
PHYSICAL REVIEW E, 1994, 49 (06) :5271-5275
[7]  
CLADIS PE, 1994, SPATIO TEMPORAL PATT, V21
[8]  
GODRECHE C, 1992, SOLID FAR EQUILIBRIU
[9]   Phase-field simulations and experiments of faceted growth in liquid crystals [J].
GonzalezCinca, R ;
RamirezPiscina, L ;
Casademunt, J ;
HernandezMachado, A ;
Kramer, L ;
Katona, TT ;
Borzsonyi, T ;
Buka, A .
PHYSICA D, 1996, 99 (2-3) :359-368
[10]  
HERVET H, 1980, LIQ CRYST, P263