BRANCHING IN THE ZERO-NOISE LIMIT OF DISCRETE LAPLACIAN GROWTH-PROCESSES

被引：15

作者：

BATCHELOR, MT ^{[1
]}

HENRY, BI ^{[1
]}

机构：

[1] AUSTRALIAN NATL UNIV, RES SCH PHYS SCI & ENGN, DEPT THEORET PHYS, CANBERRA, ACT 2601, AUSTRALIA

来源：

PHYSICAL REVIEW A | 1992年 / 45卷 / 06期

关键词：

D O I：

10.1103/PhysRevA.45.4180

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A numerical scheme has been introduced and implemented for realizing the zero-noise limit in discrete Laplacian growth processes such as diffusion-limited aggregation and dielectric breakdown. The results clearly demonstrate the possibility of branching in the absence of noise. The formalism provides essentially exact results that can be compared with future experimental, numerical, and theoretical studies.

引用

页码：4180 / 4183

页数：4

共 31 条

[1] ASYMPTOTIC-BEHAVIOR AND NOISE-REDUCTION IN DIFFUSION-LIMITED AGGREGATION MODELS [J].

AUKRUST, T ;

NOVOTNY, MA ;

BROWNE, DA ;

KASKI, K .

PHYSICAL REVIEW A, 1989, 39 (05) :2587-2592

[2] LARGE-SCALE LATTICE EFFECT IN DIFFUSION-LIMITED AGGREGATION [J].

BALL, RC ;

BRADY, RM .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1985, 18 (13) :L809-&

[3] LIMITS TO EDEN GROWTH IN 2-DIMENSIONS AND 3-DIMENSIONS [J].

BATCHELOR, MT ;

HENRY, BI .

PHYSICS LETTERS A, 1991, 157 (4-5) :229-236

[4]

BATCHELOR MT, UNPUB

[5] EXPERIMENTAL DEMONSTRATION OF THE ROLE OF ANISOTROPY IN INTERFACIAL PATTERN-FORMATION [J].

BENJACOB, E ;

GODBEY, R ;

GOLDENFELD, ND ;

KOPLIK, J ;

LEVINE, H ;

MUELLER, T ;

SANDER, LM .

PHYSICAL REVIEW LETTERS, 1985, 55 (12) :1315-1318

[6] PORE-SCALE VISCOUS FINGERING IN POROUS-MEDIA [J].

CHEN, JD ;

WILKINSON, D .

PHYSICAL REVIEW LETTERS, 1985, 55 (18) :1892-1895

[7] RADIAL VISCOUS FINGERS AND DIFFUSION-LIMITED AGGREGATION - FRACTAL DIMENSION AND GROWTH SITES [J].

DACCORD, G ;

NITTMANN, J ;

STANLEY, HE .

PHYSICAL REVIEW LETTERS, 1986, 56 (04) :336-339

[8] GROWTH AND FORM OF NOISE-REDUCED DIFFUSION-LIMITED AGGREGATION [J].

ECKMANN, JP ;

MEAKIN, P ;

PROCACCIA, I ;

ZEITAK, R .

PHYSICAL REVIEW A, 1989, 39 (06) :3185-3195

[9] ASYMPTOTIC SHAPE OF DIFFUSION-LIMITED AGGREGATES WITH ANISOTROPY [J].

ECKMANN, JP ;

MEAKIN, P ;

PROCACCIA, I ;

ZEITAK, R .

PHYSICAL REVIEW LETTERS, 1990, 65 (01) :52-55

[10] DETERMINISTIC GROWTH-MODEL OF PATTERN-FORMATION IN DENDRITIC SOLIDIFICATION [J].

FAMILY, F ;

PLATT, DE ;

VICSEK, T .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (17) :L1177-L1183

← 1 2 3 4 →