Applications of Temperley-Lieb algebras to Lorentz lattice gases

Details Applications of Temperley-Lieb algebras to Lorentz lattice gases Applications of Temperley-Lieb algebras to Lorentz lattice gases

1998-07-15

arxiv.org/abs/cond-mat/9807221v1

Physics

Condensed Matter

10 pages, latex file, one figure(by request)

Scientific paper

10.1088/0305-4470/31/43/002

Motived 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 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.

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