INTERFACES IN A RANDOM MEDIUM AND REPLICA SYMMETRY-BREAKING

被引：86

作者：

MEZARD, M ^{[1
]}

PARISI, G ^{[1
]}

机构：

[1] UNIV ROMA TOR VERGATA, IST NAZL FIS NUCL, DIPARTIMENTO FIS, I-00173 ROME, ITALY

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 23期

关键词：

D O I：

10.1088/0305-4470/23/23/008

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The authors develop a variational approach for studying interfaces and other manifolds in a disordered quenched medium. The method may be applied to problems which range from directed polymers to the interface of an Ising model in a random magnetic field. They find that replica symmetry is spontaneously broken and the results of the Flory approximation are recovered in a simple way. Corrections to this approximation may be computed in a systematic way.

引用

页码：L1229 / L1234

页数：6

共 25 条

[1]

BREZIN E, 1986, UNPUB

[2] POLYMERS ON DISORDERED TREES, SPIN-GLASSES, AND TRAVELING WAVES [J].

DERRIDA, B ;

SPOHN, H .

JOURNAL OF STATISTICAL PHYSICS, 1988, 51 (5-6) :817-840

[3]

EFETOV KB, 1977, ZH EKSP TEOR FIZ, V72, P2350

[4]

ENGEL A, 1985, J PHYS LETT-PARIS, V46, pL409, DOI 10.1051/jphyslet:01985004609040900

[5] INTERFACE FLUCTUATIONS IN DISORDERED-SYSTEMS - 5-EPSILON EXPANSION AND FAILURE OF DIMENSIONAL REDUCTION [J].

FISHER, DS .

PHYSICAL REVIEW LETTERS, 1986, 56 (18) :1964-1967

[6] SURFACE-TENSION, ROUGHENING, AND LOWER CRITICAL DIMENSION IN THE RANDOM-FIELD ISING-MODEL [J].

GRINSTEIN, G ;

MA, SK .

PHYSICAL REVIEW B, 1983, 28 (05) :2588-2601

[7] DIVERSE MANIFOLDS IN RANDOM-MEDIA [J].

HALPINHEALY, T .

PHYSICAL REVIEW LETTERS, 1989, 62 (04) :442-445

[8] SCALING OF DIRECTED POLYMERS IN RANDOM-MEDIA [J].

KARDAR, M ;

ZHANG, YC .

PHYSICAL REVIEW LETTERS, 1987, 58 (20) :2087-2090

[9]

KOGAN HS, 1981, J PHYS A, V14, P527

[10] BURGERS-EQUATION WITH CORRELATED NOISE - RENORMALIZATION-GROUP ANALYSIS AND APPLICATIONS TO DIRECTED POLYMERS AND INTERFACE GROWTH [J].

MEDINA, E ;

HWA, T ;

KARDAR, M ;

ZHANG, YC .

PHYSICAL REVIEW A, 1989, 39 (06) :3053-3075

← 1 2 3 →