DETERMINISTIC GROWTH OF DIFFUSION-LIMITED AGGREGATION WITH QUENCHED DISORDER

被引:13
作者
HANSEN, A
HINRICHSEN, EL
ROUX, S
HERRMANN, HJ
DE ARCANGELIS, L
机构
[1] ECOLE SUPER PHYS & CHIM IND, PHYS & MECAN MILIEUX HETEROGENES LAB, F-75231 PARIS 05, FRANCE
[2] CENS, F-91191 GIF SUR YVETTE, FRANCE
来源
EUROPHYSICS LETTERS | 1990年 / 13卷 / 04期
关键词
D O I
10.1209/0295-5075/13/4/009
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We introduce a deterministic growth algorithm with quenched-disorder that reproduces within numerical accuracy the dual dielectric breakdown model. We discuss connections between annealed- and quenched-disorder fracture models, and the effects of imposing a connectedness requirement. The distributions of local breaking thresholds in the quenched models that correspond to the annealed models seem to be simple power laws. © 1990 IOP Publishing Ltd.
引用
收藏
页码:341 / 347
页数:7
相关论文
共 21 条
[1]   FRACTAL DIMENSIONALITY FOR THE ETA-MODEL [J].
AMITRANO, C .
PHYSICAL REVIEW A, 1989, 39 (12) :6618-6620
[2]   SCALING LAWS IN FRACTURE [J].
DE ARCANGELIS, L ;
HANSEN, A ;
HERRMANN, HJ ;
ROUX, S .
PHYSICAL REVIEW B, 1989, 40 (01) :877-880
[3]   RANDOM FUSE MODEL FOR BREAKING PROCESSES. [J].
de Arcangelis, L. ;
Redner, S. .
Journal de physique. Lettres, 1985, 46 (13) :585-590
[4]   SIZE EFFECTS OF ELECTRICAL BREAKDOWN IN QUENCHED RANDOM-MEDIA [J].
DUXBURY, PM ;
BEALE, PD ;
LEATH, PL .
PHYSICAL REVIEW LETTERS, 1986, 57 (08) :1052-1055
[5]  
EDEN M, 1961, 4TH P BERK S MATH ST, V4, P233
[6]   INVASION PERCOLATION IN AN EXTERNAL-FIELD - DIELECTRIC-BREAKDOWN IN RANDOM-MEDIA [J].
FAMILY, F ;
ZHANG, YC ;
VICSEK, T .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1986, 19 (12) :L733-L737
[7]  
Gumbel E J., 1958, STAT EXTREMES
[8]  
HANSEN A, ANNEALED MODEL BREAK
[9]  
HANSEN A, SCALE INVARIANT DISO
[10]   A FRACTURE GROWTH-MODEL [J].
HINRICHSEN, EL ;
HANSEN, A ;
ROUX, S .
EUROPHYSICS LETTERS, 1989, 8 (01) :1-7