Sidebranching induced by external noise in solutal dendritic growth -: art. no. 051602

被引:15
作者
González-Cinca, R
Ramírez-Piscina, L
Casademunt, J
Hernández-Machado, A
机构
[1] Univ Politecn Cataluna, Dept Fis Aplicada, E-08034 Barcelona, Spain
[2] Univ Barcelona, Fac Fis, Dept Estructura & Constituents Mat, E-08028 Barcelona, Spain
来源
PHYSICAL REVIEW E | 2001年 / 63卷 / 05期
关键词
D O I
10.1103/PhysRevE.63.051602
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 have studied sidebranching induced by fluctuations in dendritic growth. The amplitude of sidebranching induced by internal (equilibrium) concentration fluctuations in the case of solidification with solutal diffusion is computed. This amplitude turns out to be: significantly smaller than values reported in previous experiments. The effects of other possible sources of fluctuations (of an external origin) are examined by introducing nonconserved noise in a phase-field model. This reproduces the characteristics of sidebranching found in experiments. Results also show that sidebranching induced by external noise is qualitatively similar to that of internal noise, and it is only distinguished by its amplitude.
引用
收藏
页码:516021 / 516029
页数:9
相关论文
共 42 条
  • [1] [Anonymous], 1988, DYNAMICS CURVED FRON
  • [2] DYNAMICS OF DENDRITIC SIDEBRANCHING IN THE TWO-DIMENSIONAL SYMMETRICAL MODEL OF SOLIDIFICATION
    BARBER, MN
    BARBIERI, A
    LANGER, JS
    [J]. PHYSICAL REVIEW A, 1987, 36 (07): : 3340 - 3349
  • [3] THE FORMATION OF PATTERNS IN NONEQUILIBRIUM GROWTH
    BENJACOB, E
    GARIK, P
    [J]. NATURE, 1990, 343 (6258) : 523 - 530
  • [4] Shape of the tip and the formation of sidebranches of xenon dendrites
    Bisang, U
    Bilgram, JH
    [J]. PHYSICAL REVIEW E, 1996, 54 (05) : 5309 - 5326
  • [5] SHAPE OF THE TIP AND THE FORMATION OF SIDEBRANCHES OF XENON DENDRITES
    BISANG, U
    BILGRAM, JH
    [J]. PHYSICAL REVIEW LETTERS, 1995, 75 (21) : 3898 - 3901
  • [6] Dendrites regularized by spatially homogeneous time-periodic forcing
    Börzsönyi, T
    Tóth-Katona, T
    Buka, A
    Gránásy, L
    [J]. PHYSICAL REVIEW LETTERS, 1999, 83 (14) : 2853 - 2856
  • [7] Effect of the anisotropic surface tension, crystallization kinetics, and heat diffusion on nonequilibrium growth of liquid crystals
    Borzsonyi, T
    Buka, A
    Kramer, L
    [J]. PHYSICAL REVIEW E, 1998, 58 (05): : 6236 - 6245
  • [8] DENDRITIC SIDE-BRANCHING FORCED BY AN EXTERNAL FLOW
    BOUISSOU, P
    CHIFFAUDEL, A
    PERRIN, B
    TABELING, P
    [J]. EUROPHYSICS LETTERS, 1990, 13 (01): : 89 - 94
  • [9] MORPHOLOGICAL INSTABILITY IN PHASE-FIELD MODELS OF SOLIDIFICATION
    BRAUN, RJ
    MCFADDEN, GB
    CORIELL, SR
    [J]. PHYSICAL REVIEW E, 1994, 49 (05): : 4336 - 4352
  • [10] NOISE-INDUCED SIDEBRANCHING IN THE 3-DIMENSIONAL NONAXISYMMETRIC DENDRITIC GROWTH
    BRENER, E
    TEMKIN, D
    [J]. PHYSICAL REVIEW E, 1995, 51 (01) : 351 - 359