AN INTERMEDIATE PHASE WITH SLOW DECAY OF CORRELATIONS IN ONE DIMENSIONAL 1/(X-Y)2 PERCOLATION, ISING AND POTTS MODELS

被引：91

作者：

IMBRIE, JZ

NEWMAN, CM

机构：

[1] HARVARD UNIV,DEPT PHYS,CAMBRIDGE,MA 02138

[2] UNIV ARIZONA,DEPT MATH,TUCSON,AZ 85721

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1988年 / 118卷 / 02期

关键词：

D O I：

10.1007/BF01218582

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

引用

页码：303 / 336

页数：34

共 43 条

[1] DISCONTINUITY OF THE MAGNETIZATION IN ONE-DIMENSIONAL 1/[X-Y]2 ISING AND POTTS MODELS [J].

AIZENMAN, M ;

CHAYES, JT ;

CHAYES, L ;

NEWMAN, CM .

JOURNAL OF STATISTICAL PHYSICS, 1988, 50 (1-2) :1-40

[2] UNIQUENESS OF THE INFINITE CLUSTER AND CONTINUITY OF CONNECTIVITY FUNCTIONS FOR SHORT AND LONG-RANGE PERCOLATION [J].

AIZENMAN, M ;

KESTEN, H ;

NEWMAN, CM .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 111 (04) :505-531

[3] DISCONTINUITY OF THE PERCOLATION DENSITY IN ONE-DIMENSIONAL 1[X-Y]2 PERCOLATION MODELS [J].

AIZENMAN, M ;

NEWMAN, CM .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 107 (04) :611-647

[4] TREE GRAPH INEQUALITIES AND CRITICAL-BEHAVIOR IN PERCOLATION MODELS [J].

AIZENMAN, M ;

NEWMAN, CM .

JOURNAL OF STATISTICAL PHYSICS, 1984, 36 (1-2) :107-143

[5]

Aizenman M., 1985, Statistical Physics and Dynamical Systems: Rigorous Results, P453

[6] SOME NUMERICAL RESULTS ON KONDO PROBLEM AND INVERSE SQUARE ONE-DIMENSIONAL ISING MODEL [J].

ANDERSON, PW ;

YUVAL, G .

JOURNAL OF PHYSICS PART C SOLID STATE PHYSICS, 1971, 4 (05) :607-&

[7] EXACT RESULTS IN KONDO PROBLEM .2. SCALING THEORY, QUALITATIVELY CORRECT SOLUTION, AND SOME NEW RESULTS ON ONE-DIMENSIONAL CLASSICAL STATISTICAL MODELS [J].

ANDERSON, PW ;

YUVAL, G ;

HAMANN, DR .

PHYSICAL REVIEW B-SOLID STATE, 1970, 1 (11) :4464-+

[8]

BERBEE H, IN PRESS ANN PROB

[9] SOME PROPERTIES OF A ONE-DIMENSIONAL ISING CHAIN WITH AN INVERSE-SQUARE INTERACTION [J].

BHATTACHARJEE, J ;

CHAKRAVARTY, S ;

RICHARDSON, JL ;

SCALAPINO, DJ .

PHYSICAL REVIEW B, 1981, 24 (07) :3862-3865

[10] ON THE CONTINUITY OF THE MAGNETIZATION AND ENERGY IN ISING-FERROMAGNETS [J].

BRICMONT, J ;

LEBOWITZ, JL .

JOURNAL OF STATISTICAL PHYSICS, 1986, 42 (5-6) :861-869

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