Matrix product ground states for exclusion processes with parallel dynamics

被引：59

作者：

Hinrichsen, H

机构：

[1] Department of Physics of Complex Systems, Weizmann Institute of Science

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 13期

关键词：

D O I：

10.1088/0305-4470/29/13/030

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show in the example of a one-dimensional asymmetric exclusion process that stationary states of models with parallel dynamics may be written in a matrix product form. The corresponding algebra is quadratic and involves three different matrices. Using this formalism we prove previous conjectures for the equal-time correlation functions of the model.

引用

页码：3659 / 3667

页数：9

共 30 条

[21] TIME-DEPENDENT CORRELATION-FUNCTIONS IN A ONE-DIMENSIONAL ASYMMETRIC EXCLUSION PROCESS [J].

SCHUTZ, G .

PHYSICAL REVIEW E, 1993, 47 (06) :4265-4277

[22] PHASE-TRANSITIONS IN AN EXACTLY SOLUBLE ONE-DIMENSIONAL EXCLUSION PROCESS [J].

SCHUTZ, G ;

DOMANY, E .

JOURNAL OF STATISTICAL PHYSICS, 1993, 72 (1-2) :277-296

[23] GENERALIZED BETHE ANSATZ SOLUTION OF A ONE-DIMENSIONAL ASYMMETRIC EXCLUSION PROCESS ON A RING WITH BLOCKAGE [J].

SCHUTZ, G .

JOURNAL OF STATISTICAL PHYSICS, 1993, 71 (3-4) :471-505

[24] APPLICATION OF OPERATOR-ALGEBRAS TO STOCHASTIC DYNAMICS AND THE HEISENBERG CHAIN [J].

STINCHCOMBE, RB ;

SCHUTZ, GM .

PHYSICAL REVIEW LETTERS, 1995, 75 (01) :140-143

[25] OPERATOR ALGEBRA FOR STOCHASTIC DYNAMICS AND THE HEISENBERG CHAIN [J].

STINCHCOMBE, RB ;

SCHUTZ, GM .

EUROPHYSICS LETTERS, 1995, 29 (09) :663-667

[26]

TANG LH, 1990, PHYS REV LETT, V65, P1591

[27] DYNAMICAL PHASE-TRANSITION IN ONE-DIMENSIONAL TRAFFIC FLOW MODEL WITH BLOCKAGE [J].

YUKAWA, S ;

KIKUCHI, M ;

TADAKI, S .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1994, 63 (10) :3609-3618

[28]

ZIA RKP, 1995, PHASE TRANSITIONS CR

[29]

[No title captured]

[30]

[No title captured]

← 1 2 3 →