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

Masaru Uchiyama, Tomohiro Sasamoto, Miki Wadati

Type: Article

Publication Date: 2004-04-21

Citations: 142

DOI: https://doi.org/10.1088/0305-4470/37/18/006

Abstract

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.

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Journal of Physics A Mathematical and General - View
arXiv (Cornell University) - View - PDF
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