Asymmetric simple exclusion process with open boundaries and Askey-Wilson polynomials

被引：85

作者：

Uchiyama, M

Sasamoto, T

Wadati, M

机构：

[1] Univ Tokyo, Grad Sch Sci, Dept Phys, Bunkyo Ku, Tokyo 1130033, Japan

[2] Tokyo Inst Technol, Dept Phys, Meguro Ku, Tokyo 1528551, Japan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2004年 / 37卷 / 18期

关键词：

D O I：

10.1088/0305-4470/37/18/006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the one-dimensional asymmetric simple exclusion process (ASEP) with open boundary conditions. Particles are injected and ejected at both boundaries. It is clarified that the steady state of the model is intimately related to the Askey-Wilson polynomials. The partition function and the n-point functions are obtained in the integral form with four boundary parameters. The thermodynamic current is evaluated to confirm the conjectured phase diagram.

引用

页码：4985 / 5002

页数：18

共 35 条

[1]

[Anonymous], 1985, MEM AM MATH SOC AMS, DOI DOI 10.1090/MEMO/0319

[2]

ASKEY R, 1989, LECT NOTES MATH, V1395, P84

[3] Stochastic burgers and KPZ equations from particle systems [J].