The isotropic O(3) model and the Wolff representation

被引：9

作者：

Campbell, M ^{[1
]}

Chayes, L ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 13期

关键词：

D O I：

10.1088/0305-4470/31/13/002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For the isotropic O(3) model we prove that percolation in the Wolff representation is a necessary and sufficient condition for positivity of the spontaneous magnetization.

引用

页码：L255 / L259

页数：5

共 7 条

[1] ON THE SLOW DECAY OF O(2) CORRELATIONS IN THE ABSENCE OF TOPOLOGICAL EXCITATIONS - REMARK ON THE PATRASCIOIU-SEILER MODEL [J].

AIZENMAN, M .

JOURNAL OF STATISTICAL PHYSICS, 1994, 77 (1-2) :351-359

[2]

CHAYES L, 1996, DISCONTINUITY SPIN W

[3] GENERAL FORMULATION OF GRIFFITHS INEQUALITIES [J].

GINIBRE, J .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1970, 16 (04) :310-&

[4] PERCOLATION PROPERTIES OF THE WOLFF CLUSTERS IN PLANAR TRIANGULAR SPIN MODEL [J].

LEUNG, PW ;

HENLEY, CL .

PHYSICAL REVIEW B, 1991, 43 (01) :752-759

[5] CORRELATION INEQUALITIES AND UNIQUENESS OF EQUILIBRIUM STATE FOR PLANE ROTATOR FERROMAGNETIC MODEL [J].

MESSAGER, A ;

MIRACLESOLE, S ;

PFISTER, C .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 58 (01) :19-29

[6] PHASE-STRUCTURE OF 2-DIMENSIONAL SPIN MODELS AND PERCOLATION [J].

PATRASCIOIU, A ;

SEILER, E .

JOURNAL OF STATISTICAL PHYSICS, 1992, 69 (3-4) :573-595

[7] COLLECTIVE MONTE-CARLO UPDATING FOR SPIN SYSTEMS [J].

WOLFF, U .

PHYSICAL REVIEW LETTERS, 1989, 62 (04) :361-364

← 1 →