SCALING BEHAVIOR OF PERCOLATION SURFACES IN 3 DIMENSIONS

被引：36

作者：

STRENSKI, PN

BRADLEY, RM

DEBIERRE, JM

机构：

[1] COLORADO STATE UNIV,FT COLLINS,CO 80523

[2] UNIV NANCY 1,PHYS SOLIDE LAB,F-54506 VANDOEUVRE NANCY,FRANCE

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 66卷 / 10期

关键词：

D O I：

10.1103/PhysRevLett.66.1330

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present the results of a Monte Carlo study of the surfaces (or "hulls") of percolation clusters in three dimensions. The hulls were generated using a novel growing self-avoiding surface. Our results strongly suggest that the surface and bulk of the infinite cluster have the same fractal dimension at the percolation threshold, and that the other bulk and hull critical exponents are identical as well. These conclusions are supported by heuristic scaling arguments.

引用

页码：1330 / 1333

页数：4

共 27 条

[1] MOLECULAR-DYNAMICS OF TETHERED MEMBRANES [J].

ABRAHAM, FF ;

RUDGE, WE ;

PLISCHKE, M .

PHYSICAL REVIEW LETTERS, 1989, 62 (15) :1757-1759

[2] SERIES STUDY OF PERCOLATION MOMENTS IN GENERAL DIMENSION [J].

ADLER, J ;

MEIR, Y ;

AHARONY, A ;

HARRIS, AB .

PHYSICAL REVIEW B, 1990, 41 (13) :9183-9206

[3] CRUMPLING OF FLUID VESICLES [J].

BAUMGARTNER, A ;

HO, JS .

PHYSICAL REVIEW A, 1990, 41 (10) :5747-5750

[4] ANISOTROPIC SCALING OF TETHERED SELF-AVOIDING MEMBRANES [J].

BOAL, D ;

LEVINSON, E ;

LIU, DM ;

PLISCHKE, M .

PHYSICAL REVIEW A, 1989, 40 (06) :3292-3300

[5]

Bradley R. M., UNPUB

[6] GROWING SELF-AVOIDING SURFACES [J].

DEBIERRE, JM ;

BRADLEY, RM .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (06) :L213-L217

[7]

Domb C., 1987, PHASE TRANSITIONS CR, V11

[8] SERIES STUDY OF RANDOM PERCOLATION IN 3 DIMENSIONS [J].

GAUNT, DS ;

SYKES, MF .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (04) :783-799

[9] MONTE-CARLO SIMULATION OF SELF-AVOIDING SURFACES IN 3 DIMENSIONS [J].

GLAUS, U .

PHYSICAL REVIEW LETTERS, 1986, 56 (19) :1996-1999

[10] FRACTAL STRUCTURE OF DIFFUSION AND INVASION FRONTS IN 3-DIMENSIONAL LATTICES THROUGH THE GRADIENT PERCOLATION APPROACH [J].

GOUYET, JF ;

ROSSO, M ;

SAPOVAL, B .

PHYSICAL REVIEW B, 1988, 37 (04) :1832-1838

← 1 2 3 →