The number of incipient spanning clusters in two-dimensional percolation

被引：74

作者：

Cardy, J ^{[1
]}

机构：

[1] Univ Oxford, Dept Phys, Oxford OX1 3NP, England

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 05期

关键词：

D O I：

10.1088/0305-4470/31/5/003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using methods of conformal held theory, we conjecture an exact form for the probability that n distinct clusters span a large rectangle or open cylinder of aspect ratio k, in the limit when k is large.

引用

页码：L105 / L110

页数：6

共 26 条

[1] UNIVERSAL TERM IN THE FREE-ENERGY AT A CRITICAL-POINT AND THE CONFORMAL ANOMALY [J].

AFFLECK, I .

PHYSICAL REVIEW LETTERS, 1986, 56 (07) :746-748

[2] On the number of incipient spanning clusters [J].

Aizenman, M .

NUCLEAR PHYSICS B, 1997, 485 (03) :551-582

[3]

AIZENMAN M, 1996, CONDMAT9609240

[4]

AIZENMAN M, 1995, STATPHYS P

[5]

AIZENMAN M, 1996, CONDMAT9611040

[6] INFINITE CONFORMAL SYMMETRY IN TWO-DIMENSIONAL QUANTUM-FIELD THEORY [J].

BELAVIN, AA ;

POLYAKOV, AM ;

ZAMOLODCHIKOV, AB .

NUCLEAR PHYSICS B, 1984, 241 (02) :333-380

[7] CONFORMAL-INVARIANCE, THE CENTRAL CHARGE, AND UNIVERSAL FINITE-SIZE AMPLITUDES AT CRITICALITY [J].

BLOTE, HWJ ;

CARDY, JL ;

NIGHTINGALE, MP .

PHYSICAL REVIEW LETTERS, 1986, 56 (07) :742-745

[8] CRITICAL PERCOLATION IN FINITE GEOMETRIES [J].

CARDY, JL .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (04) :L201-L206

[9] CONFORMAL-INVARIANCE AND SURFACE CRITICAL-BEHAVIOR [J].

CARDY, JL .

NUCLEAR PHYSICS B, 1984, 240 (04) :514-532

[10] BOUNDARY-CONDITIONS, FUSION RULES AND THE VERLINDE FORMULA [J].

CARDY, JL .

NUCLEAR PHYSICS B, 1989, 324 (03) :581-596

← 1 2 3 →