STABILITY OF HIERARCHICAL INTERFACES IN A RANDOM FIELD MODEL

被引：3

作者：

BOVIER, A

KULSKE, C

机构：

[1] RUHR UNIV BOCHUM,INST MATH,W-4630 BOCHUM,GERMANY

[2] RUHR UNIV BOCHUM,INST THEORET PHYS,W-4630 BOCHUM,GERMANY

来源：

JOURNAL OF STATISTICAL PHYSICS | 1992年 / 69卷 / 1-2期

关键词：

DISORDERED SYSTEMS; RANDOM-FIELD ISING MODEL; INTERFACES; HIERARCHICAL MODEL; RENORMALIZATION OF STOCHASTIC SEQUENCES;

D O I：

10.1007/BF01053784

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a hierarchical model for interfaces in a random-field ferromagnet. We prove that in dimension D > 3, at low temperatures and for weak disorder, such interfaces are rigid. Our proof uses renormalization group transformations for stochastic sequences.

引用

收藏

页码：79 / 110

页数：32

相关论文

共 20 条

[1] ROUNDING OF 1ST-ORDER PHASE-TRANSITIONS IN SYSTEMS WITH QUENCHED DISORDER [J].

AIZENMAN, M ;

WEHR, J .

PHYSICAL REVIEW LETTERS, 1989, 62 (21) :2503-2506

[2] ROUNDING EFFECTS OF QUENCHED RANDOMNESS ON 1ST-ORDER PHASE-TRANSITIONS [J].

AIZENMAN, M ;

WEHR, J .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 130 (03) :489-528

[3] LINES AND DOMAIN-WALLS IN DILUTE FERROMAGNETS [J].

BOVIER, A ;

FROHLICH, J ;

GLAUS, U .

PHYSICAL REVIEW B, 1986, 34 (09) :6409-6414

[4] STABILITY OF INTERFACES IN A RANDOM ENVIRONMENT - A RIGOROUS RENORMALIZATION-GROUP ANALYSIS OF A HIERARCHICAL MODEL [J].

BOVIER, A ;

PICCO, P .

JOURNAL OF STATISTICAL PHYSICS, 1991, 62 (1-2) :177-199

[5]

BOVIER A, 1992, COMMUN MATH PHYS

[6]

BREZIN E, 1986, UNPUB

[7] PHASE-TRANSITION IN THE 3D RANDOM FIELD ISING-MODEL [J].

BRICMONT, J ;

KUPIAINEN, A .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 116 (04) :539-572

[8] THE HIERARCHICAL RANDOM FIELD ISING-MODEL [J].

BRICMONT, J ;

KUPIAINEN, A .

JOURNAL OF STATISTICAL PHYSICS, 1988, 51 (5-6) :1021-1032

[9] ON THE LOWER CRITICAL DIMENSIONALITY OF THE ISING-MODEL IN A RANDOM FIELD [J].

CHALKER, JT .

JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1983, 16 (34) :6615-6622

[10]

Dobrushin R. L., 1972, Theory of Probability and Its Applications, V17, P582, DOI 10.1137/1117073