Distribution of shortest paths in percolation

被引：20

作者：

Dokholyan, NV ^{[1
]}

Buldyrev, SV

Havlin, S

King, PR

Lee, Y

Stanley, HE

机构：

[1] Boston Univ, Dept Phys, Ctr Polymer Studies, Boston, MA 02215 USA

[2] Bar Ilan Univ, Minerva Ctr, IL-52900 Ramat Gan, Israel

[3] Bar Ilan Univ, Dept Phys, IL-52900 Ramat Gan, Israel

[4] BP Amoco Explorat Operating co Ltd, Sunbury TW16 7LN, Middx, England

[5] Univ Cambridge, Dept Engn, Cambridge, England

来源：

PHYSICA A | 1999年 / 266卷 / 1-4期

关键词：

scaling Ansatz; percolation; finite-size effect;

D O I：

10.1016/S0378-4371(98)00574-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a scaling Ansatz for the distribution function of the shortest paths connecting any two points on a percolating cluster which accounts for (i) the effect of the finite size of the system, and (ii) the dependence of this distribution on the site occupancy probability p. We present evidence supporting the scaling Ansatz for the case of two-dimensional percolation. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：55 / 61

页数：7

共 18 条

[1] CRITICALLY BRANCHED CHAINS AND PERCOLATION CLUSTERS [J].

ALEXANDROWICZ, Z .

PHYSICS LETTERS A, 1980, 80 (04) :284-286

[2] DISTRIBUTION OF SHORTEST-PATH LENGTHS IN PERCOLATION ON A HIERARCHICAL LATTICE [J].

BARMA, M ;

RAY, P .

PHYSICAL REVIEW B, 1986, 34 (05) :3403-3407

[3] VIBRATIONAL EXCITATIONS IN PERCOLATION - LOCALIZATION AND MULTIFRACTALITY [J].

BUNDE, A ;

ROMAN, HE ;

RUSS, S ;

AHARONY, A ;

HARRIS, AB .

PHYSICAL REVIEW LETTERS, 1992, 69 (22) :3189-3192

[4]

Bunde A., 1996, FRACTALS DISORDERED, DOI DOI 10.1007/978-3-642-84868-1

[5]

de Gennes P.G., 1979, SCALING CONCEPTS POL

[6] Scaling of the distribution of shortest paths in percolation [J].

Dokholyan, NV ;

Lee, YK ;

Buldyrev, SV ;

Havlin, S ;

King, PR ;

Stanley, HE .

JOURNAL OF STATISTICAL PHYSICS, 1998, 93 (3-4) :603-613

[7] SPREADING AND BACKBONE DIMENSIONS OF 2D PERCOLATION [J].

GRASSBERGER, P .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (21) :5475-5484

[8] DIFFUSION IN DISORDERED MEDIA [J].

HAVLIN, S ;

BENAVRAHAM, D .

ADVANCES IN PHYSICS, 1987, 36 (06) :695-798

[9]

HERMANN HJ, 1988, J PHYS A, V21, pL829

[10] Renormalization group calculation of distribution functions: Structural properties for percolation clusters [J].

Hovi, JP ;

Aharony, A .

PHYSICAL REVIEW E, 1997, 56 (01) :172-184

← 1 2 →