ANISOTROPIC PERCOLATION ON THE BETHE LATTICE

被引：20

作者：

TURBAN, L

机构：

[1] Laboratoire de Physique du Solide (Laboratoire Associe Au CNRS No 155), Universite de Nancy-I, CO 140

来源：

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS | 1979年 / 12卷 / 08期

关键词：

D O I：

10.1088/0022-3719/12/8/010

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

An anisotropic bond percolation problem is solved exactly on the Bethe lattice with z=3 using the 'ghost site' method. The percolation probability P(p) and the mean cluster size S(p) are obtained. The critical components are unaffected by anisotropy except for the expected changes in the one-dimensional limit.

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页码：1479 / 1490

页数：12

相关论文

共 18 条

[1] PHASE-TRANSITIONS FOR ONE AND ZERO DIMENSIONAL SYSTEMS WITH SHORT-RANGE FORCES [J].

BALIAN, R ;

TOULOUSE, G .

ANNALS OF PHYSICS, 1974, 83 (01) :28-70

[2]

ESSAM JW, 1972, PHASE TRANSITIONS CR, V2, pCH6

[3] SOME CLUSTER SIZE AND PERCOLATION PROBLEMS [J].

FISHER, ME ;

ESSAM, JW .

JOURNAL OF MATHEMATICAL PHYSICS, 1961, 2 (04) :609-&

[4] RANDOM-CLUSTER MODEL .1. INTRODUCTION AND RELATION TO OTHER MODELS [J].

FORTUIN, CM ;

KASTELEYN, PW .

PHYSICA, 1972, 57 (04) :536-+

[5] MONTE CARLO ESTIMATES OF PERCOLATION PROBABILITIES FOR VARIOUS LATTICES [J].

FRISCH, HL ;

HAMMERSLEY, JM ;

WELSH, DJA .

PHYSICAL REVIEW, 1962, 126 (03) :949-&

[6] RENORMALIZATION-GROUP APPROACH TO PERCOLATION PROBLEMS [J].

HARRIS, AB ;

LUBENSKY, TC ;

HOLCOMB, WK ;

DASGUPTA, C .

PHYSICAL REVIEW LETTERS, 1975, 35 (06) :327-330

[7]

KASTELEYN PW, 1969, J PHYS SOC JPN, VS 26, P11

[8] PERCOLATION THRESHOLDS IN ISING MAGNETS AND CONDUCTING MIXTURES [J].

KIRKPATRICK, S .

PHYSICAL REVIEW B, 1977, 15 (03) :1533-1538

[9]

KIRKPATRICK S, 1978, HOUCHES LECTURE NOTE

[10] CLUSTER SHAPE AND CRITICAL EXPONENTS NEAR PERCOLATION THRESHOLD [J].

LEATH, PL .

PHYSICAL REVIEW LETTERS, 1976, 36 (16) :921-924