Applications of Temperley-Lieb algebras to Lorentz lattice gases

M. J. Martins; B. Nienhuis

doi:10.1088/0305-4470/31/43/002

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Applications of Temperley-Lieb algebras to Lorentz lattice gases

M. J. Martins·B. Nienhuis

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Abstract

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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M. J. Martins, B. Nienhuis. 1998-07-15. Applications of Temperley-Lieb algebras to Lorentz lattice gases. https://doi.org/10.1088/0305-4470%2F31%2F43%2F002

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