CRITICAL AND TOPOLOGICAL PROPERTIES OF CLUSTER BOUNDARIES IN THE 3D ISING-MODEL

被引：18

作者：

DOTSENKO, VS

WINDEY, P

HARRIS, G

MARINARI, E

MARTINEC, E

PICCO, M

机构：

[1] SYRACUSE UNIV,DEPT PHYS,SYRACUSE,NY 13244

[2] SYRACUSE UNIV,NPAC,SYRACUSE,NY 13244

[3] UNIV CHICAGO,ENRICO FERMI INST,CHICAGO,IL 60637

[4] UNIV CHICAGO,DEPT PHYS,CHICAGO,IL 60637

[5] UNIV ROMA TOR VERGATA,DIPARTIMENTO FIS,I-00133 ROME,ITALY

来源：

PHYSICAL REVIEW LETTERS | 1993年 / 71卷 / 06期

关键词：

D O I：

10.1103/PhysRevLett.71.811

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze the ensemble of surfaces surrounding critical clusters at T = T(c) in the 3D Ising model. We find that N(g)(A), the number of surfaces of genus g and area A, behaves as A(x(g))e(-muA). We show that mu is constant and x(g) is approximately linear; the sum SIGMA(g) N(g)(A) scales as a power of A. The cluster volume is proportional to its surface area. We discuss similar results for the ordinary spin clusters of the 3D Ising model and for 3D bond percolation.

引用

页码：811 / 814

页数：4

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