SCALING LAWS IN THERMAL RELAXATION OF FRACTAL AGGREGATES

被引:36
作者
IRISAWA, T
UWAHA, M
SAITO, Y
机构
[1] NAGOYA UNIV,DEPT PHYS,CHIKUSA KU,NAGOYA,AICHI 46401,JAPAN
[2] KEIO UNIV,DEPT PHYS,KOHOKU KU,YOKOHAMA,KANAGAWA 223,JAPAN
来源
EUROPHYSICS LETTERS | 1995年 / 30卷 / 03期
关键词
D O I
10.1209/0295-5075/30/3/003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study shape relaxation of a two-dimensional fractal aggregate, during annealing after the rapid crystallization on a substrate. The edge length of the aggregate decreases with time in a power law with the exponent (d - 1 - D)/(beta + 1), where d = 2 is the spatial dimension, D is the fractal dimension and beta depends on the relaxation mechanism as to be 3, 2 and 1 for edge diffusion, surface diffusion and edge kinetics, respectively. With Monte Carlo simulation, we confirm the predicted exponents for the diffusion-limited aggregation with two different diffusion mechanisms.
引用
收藏
页码:139 / 144
页数:6
相关论文
共 24 条
[1]  
Vicsek T., Fractal Growth Phenomena, (1989)
[2]  
Meakin P., Phase Transition and Critical Phenomena, 12, (1988)
[3]  
Witten T.A., Sander L.M., Phys. Rev. Lett., 47, (1981)
[4]  
Witten T.A., Sander L.M., Phys. Rev. B, 27, (1983)
[5]  
Uwaha M., Saito Y., J. Phys. Soc. Jpn., 57, (1988)
[6]  
Uwaha M., Saito Y., Phys. Rev. A, 40, (1989)
[7]  
Brener E., Muller-Krumbhaar H., Temkin D., Europhys. Lett., 17, (1992)
[8]  
Hwang R.Q., Schroder J., Gunter C., Behm R.J., Phys. Rev. Lett., 67, (1991)
[9]  
Yase K., Yamanaka M., Mimura K., Inaoka K., Sato K., Appl Surf. Scl, 75, (1994)
[10]  
Pimpinelli A., Villain J., Wolf D., J. Phys, 1, 3, (1993)