Glassy behaviour and semi-local invariance in Ising model with four-spin interaction

被引：50

作者：

Lipowski, A

机构：

[1] Magnetism Theory Division, Department of Physics, A Mickiewicz University, Poznań

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 21期

关键词：

D O I：

10.1088/0305-4470/30/21/012

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the rapidly quenched high-temperature phase of the 3D Ising model, with four-spin interaction, evolves into the glassy phase with higher energy than in the low-temperature phase which can be reached upon slow cooling. The mechanism which traps the dynamics in the glassy phase is a consequence of a shape dependence of the energy of excitations. The semi-local invariance in this model is lifted by (sufficiently strong) thermal fluctuations to the local gauge invariance.

引用

页码：7365 / 7373

页数：9

共 21 条

[1] Fragile-glass behavior of a short-range p-spin model [J].

Alvarez, D ;

Franz, S ;

Ritort, F .

PHYSICAL REVIEW B, 1996, 54 (14) :9756-9764

[2] ALTERNATIVE MODEL OF RANDOM SURFACES [J].

AMBARTZUMIAN, RV ;

SAVVIDY, GK ;

SAVVIDY, KG ;

SUKIASIAN, GS .

PHYSICS LETTERS B, 1992, 275 (1-2) :99-102

[3]

BATHAS GK, 1995, HEPTH9504054

[4]

Baxter RJ., 1982, Exactly solved models in statistical mechanics

[5] SPIN-GLASSES - EXPERIMENTAL FACTS, THEORETICAL CONCEPTS, AND OPEN QUESTIONS [J].

BINDER, K ;

YOUNG, AP .

REVIEWS OF MODERN PHYSICS, 1986, 58 (04) :801-976

[6]

BINDER K, 1984, APPLICATIONS MONTE C

[7] SELF-INDUCED QUENCHED DISORDER - A MODEL FOR THE GLASS-TRANSITION [J].

BOUCHAUD, JP ;

MEZARD, M .

JOURNAL DE PHYSIQUE I, 1994, 4 (08) :1109-1114

[8] The phase diagram of the gonihedric 3d Ising model via CVM [J].

Cirillo, ENM ;

Gonnella, G ;

Johnston, DA ;

Pelizzola, A .

PHYSICS LETTERS A, 1997, 226 (1-2) :59-64

[9] MATRIX MODELS AS SOLVABLE GLASS MODELS [J].

CUGLIANDOLO, LF ;

KURCHAN, J ;

PARISI, G ;

RITORT, F .

PHYSICAL REVIEW LETTERS, 1995, 74 (06) :1012-1015

[10]

CUSACK NE, 1987, PHYSICS STRUCTURALLY

← 1 2 3 →