Applications of Temperley-Lieb algebras to Lorentz lattice gases

被引：13

作者：

Martins, MJ

Nienhuis, B

机构：

[1] Univ Fed Sao Carlos, Dept Fis, BR-13565905 Sao Carlos, SP, Brazil

[2] Univ Amsterdam, Inst Theoret Fys, NL-1018 XE Amsterdam, Netherlands

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 43期

关键词：

D O I：

10.1088/0305-4470/31/43/002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Motivated by the study of motion in a random environment we introduce and investigate a variant of the Temperley-Lieb algebra. This algebra is very rich, providing us with three classes of solutions of the Yang-Baxter equation. This allows us to establish a theoretical framework to study the diffusive behaviour of a Lorentz lattice gas. Exact results for the geometrical scaling behaviour of closed paths are also presented.

引用

页码：L723 / L729

页数：7

共 31 条

[1] UNIVERSAL TERM IN THE FREE-ENERGY AT A CRITICAL-POINT AND THE CONFORMAL ANOMALY [J].