A new model of DLA under high magnetic field

被引:10
作者
Mizuseki, H [1 ]
Tanaka, K [1 ]
Kikuchi, K [1 ]
Ohno, K [1 ]
Kawazoe, Y [1 ]
机构
[1] Tohoku Univ, Inst Mat Res, Sendai, Miyagi 98077, Japan
关键词
fractal dimension; diffusion-limited aggregation (DLA); magnetic field; crystal growth; random walk; electrochemical deposition; Monte Carlo method;
D O I
10.1016/S0927-0256(97)00142-0
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A new Monte Carlo model is introduced to describe diffusion-limited aggregation (DLA) with extra forces arising from Lorentz's and/or Coulomb forces. Furthermore, we simulate a behavior of multiparticle diffusive aggregation to examine the resultant pattern of crystal in electrochemical deposition. Different patterns grown under various external forces are produced by Monte Carlo simulations. In the present model, the basic movement of particles is a random walk, with different transition probabilities in different directions, which characterizes stochastically the effect of extra forces. In case of assuming a high magnetic field, pattern formations which an qualitatively different from the standard DLA model are observed and they are successfully compared with preexisting experiments (Mogi et al., 1991). The present numerical results of electrochemical deposition show that the generated patterns strongly depend on the force acting on ions and their concentration (Sawada et al., 1986). Copyright (C) 1998 Elsevier Science B.V.
引用
收藏
页码:46 / 50
页数:5
相关论文
共 12 条
[1]   AGGREGATION UNDER A FORCED CONVECTIVE FLOW [J].
LOPEZTOMAS, L ;
CLARET, J ;
MAS, F ;
SAGUES, F .
PHYSICAL REVIEW B, 1992, 46 (18) :11495-11500
[2]   FRACTAL STRUCTURES OF ZINC METAL LEAVES GROWN BY ELECTRODEPOSITION [J].
MATSUSHITA, M ;
SANO, M ;
HAYAKAWA, Y ;
HONJO, H ;
SAWADA, Y .
PHYSICAL REVIEW LETTERS, 1984, 53 (03) :286-289
[3]   EFFECTS OF PARTICLE DRIFT ON DIFFUSION-LIMITED AGGREGATION [J].
MEAKIN, P .
PHYSICAL REVIEW B, 1983, 28 (09) :5221-5224
[4]  
Mizuseki H, 1997, SCI REP RES TOHOKU A, V43, P55
[5]   DENSE RADIAL GROWTH OF SILVER METAL LEAVES IN A HIGH MAGNETIC-FIELD [J].
MOGI, I ;
OKUBO, S ;
NAKAGAWA, Y .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1991, 60 (10) :3200-3202
[6]   PATTERN-FORMATION OF ELECTRODEPOSIT OF ZINC IN MAGNETIC-FIELDS [J].
MOGI, I ;
KAMIKO, M ;
OKUBO, S ;
KIDO, G .
PHYSICA B, 1994, 201 :606-610
[7]   EFFECT OF HIGH MAGNETIC-FIELDS ON FRACTAL GROWTH OF LEAD METAL-LEAVES [J].
MOGI, I ;
OKUBO, S ;
NAKAGAWA, Y .
JOURNAL OF CRYSTAL GROWTH, 1993, 128 (1-4) :258-261
[8]   MULTIPARTICLE AGGREGATION MODEL FOR DENDRITIC GROWTH APPLIED TO EXPERIMENTS ON AMORPHOUS CO-P ALLOYS [J].
SANCHEZ, A ;
BERNAL, MJ ;
RIVEIRO, JM .
PHYSICAL REVIEW E, 1994, 50 (04) :R2427-R2430
[9]   DENDRITIC AND FRACTAL PATTERNS IN ELECTROLYTIC METAL DEPOSITS [J].
SAWADA, Y ;
DOUGHERTY, A ;
GOLLUB, JP .
PHYSICAL REVIEW LETTERS, 1986, 56 (12) :1260-1263
[10]  
Vicsek T, 1992, FRACTAL GROWTH PHENO