Density Profile of the One-Dimensional Partially Asymmetric Simple Exclusion Process with Open Boundaries : General Physics

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概要

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• The one-dimensional partially asymmetric simple exclusion process with open boundaries is considered. The stationary state, which is known to be constructed in a matrix product form, is studied by applying the theory of q-orthogonal polynomials. Using a formula of the q-Hermite polynomials, the average density profile is computed in the thermodynamic limit. The phase diagram for correlation length, which was conjectured in ref. 1 [J. Phys. A 32 (1999) 7109], is confirmed.

• 社団法人日本物理学会の論文
• 2000-04-15

著者

• Sasamoto Tomohiro

  Department Of Mathematics And Informatics Chiba University

• Sasamoto Tomohiro

  Department of Physics, Graduate School of Science, University of Tokyo

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