STRUCTURAL AND DYNAMIC PROPERTIES OF LONG-RANGE CORRELATED PERCOLATION

被引：163

作者：

PRAKASH, S

HAVLIN, S

SCHWARTZ, M

STANLEY, HE

机构：

[1] BOSTON UNIV, DEPT PHYS, BOSTON, MA 02215 USA

[2] BAR ILAN UNIV, DEPT PHYS, RAMAT GAN, ISRAEL

[3] TEL AVIV UNIV, SCH PHYS & ASTRON, IL-69978 TEL AVIV, ISRAEL

来源：

PHYSICAL REVIEW A | 1992年 / 46卷 / 04期

关键词：

D O I：

10.1103/PhysRevA.46.R1724

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We develop an algorithm for generating long-range correlations in the percolation problem and investigate their effect on both structural and dynamical properties of the incipient infinite cluster in two dimensions. We find that the fractal dimensions of the backbone and the red bonds (singly connected bonds) are quite different from uncorrelated percolation and vary with lambda, the strength of the correlation. Also, we find that the conductivity exponent varies with lambda.

引用

页码：R1724 / R1727

页数：4

共 16 条

[1]

[Anonymous], 2017, INTRO PERCOLATION TH, DOI DOI 10.1201/9781315274386

[2] DISTRIBUTION OF FRACTAL CLUSTERS AND SCALING IN THE ISING-MODEL [J].

CAMBIER, JL ;

NAUENBERG, M .

PHYSICAL REVIEW B, 1986, 34 (11) :8071-8079

[3] FRACTAL STRUCTURE OF ISING AND POTTS CLUSTERS - EXACT RESULTS [J].

CONIGLIO, A .

PHYSICAL REVIEW LETTERS, 1989, 62 (26) :3054-3057

[4] PERCOLATION POINTS AND CRITICAL-POINT IN ISING-MODEL [J].

CONIGLIO, A ;

NAPPI, CR ;

PERUGGI, F ;

RUSSO, L .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1977, 10 (02) :205-218

[5] THE CONDUCTIVITY OF LARGE PERCOLATION NETWORK SAMPLES [J].

FOGELHOLM, R .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1980, 13 (23) :L571-L574

[6] HIGHLY EFFICIENT ALGORITHM FOR PERCOLATIVE TRANSPORT STUDIES IN 2 DIMENSIONS [J].

FRANK, DJ ;

LOBB, CJ .

PHYSICAL REVIEW B, 1988, 37 (01) :302-307

[7]

Havlin S, 1991, FRACTALS DISORDERED

[8] GEOMETRICAL PROPERTIES OF SWENDSEN-WANG CLUSTERS [J].

MIRANDA, EN .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1991, 175 (02) :229-234

[9]

Peng C., UNPUB

[10] LARGE-CELL MONTE-CARLO RENORMALIZATION-GROUP FOR PERCOLATION [J].

REYNOLDS, PJ ;

STANLEY, HE ;

KLEIN, W .

PHYSICAL REVIEW B, 1980, 21 (03) :1223-1245

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