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
AFFLECK, I
[J]. PHYSICAL REVIEW LETTERS, 1986, 56 (07) : 746 - 748
[2] On the number of incipient spanning clusters
Aizenman, M
[J]. 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
BELAVIN, AA
POLYAKOV, AM
ZAMOLODCHIKOV, AB
[J]. NUCLEAR PHYSICS B, 1984, 241 (02) : 333 - 380
[7] CONFORMAL-INVARIANCE, THE CENTRAL CHARGE, AND UNIVERSAL FINITE-SIZE AMPLITUDES AT CRITICALITY
BLOTE, HWJ
CARDY, JL
NIGHTINGALE, MP
[J]. PHYSICAL REVIEW LETTERS, 1986, 56 (07) : 742 - 745
[8] CRITICAL PERCOLATION IN FINITE GEOMETRIES
CARDY, JL
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (04): : L201 - L206
[9] CONFORMAL-INVARIANCE AND SURFACE CRITICAL-BEHAVIOR
CARDY, JL
[J]. NUCLEAR PHYSICS B, 1984, 240 (04) : 514 - 532
[10] BOUNDARY-CONDITIONS, FUSION RULES AND THE VERLINDE FORMULA
CARDY, JL
[J]. NUCLEAR PHYSICS B, 1989, 324 (03) : 581 - 596

← 1 2 3 →