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

Journal of Physics A General Physics ◽

10.1088/0305-4470/37/18/006 ◽

2004 ◽

Vol 37 (18) ◽

pp. 4985-5002 ◽

Author(s):

Masaru Uchiyama ◽

Tomohiro Sasamoto ◽

Miki Wadati

Keyword(s):

Exclusion Process ◽

Asymmetric Simple Exclusion Process ◽

Open Boundaries ◽

Simple Exclusion Process ◽

Asymmetric Simple Exclusion ◽

Simple Exclusion ◽

Wilson Polynomials

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Correlation Function of Asymmetric Simple Exclusion Process with Open Boundaries

Journal of Nonlinear Mathematical Physics ◽

10.2991/jnmp.2005.12.s1.52 ◽

2005 ◽

Vol 12 (sup1) ◽

pp. 676-688 ◽

Author(s):

Masaru Uchiyama ◽

Miki Wadati

Keyword(s):

Correlation Function ◽

Exclusion Process ◽

Asymmetric Simple Exclusion Process ◽

Open Boundaries ◽

Simple Exclusion Process ◽

Asymmetric Simple Exclusion ◽

Simple Exclusion

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

Journal of the Physical Society of Japan ◽

10.1143/jpsj.69.1055 ◽

2000 ◽

Vol 69 (4) ◽

pp. 1055-1067 ◽

Author(s):

Tomohiro Sasamoto

Keyword(s):

Density Profile ◽

Exclusion Process ◽

Asymmetric Simple Exclusion Process ◽

One Dimensional ◽

Open Boundaries ◽

Simple Exclusion Process ◽

Asymmetric Simple Exclusion ◽

Simple Exclusion ◽

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Two-species asymmetric simple exclusion process with open boundaries

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2006.05.013 ◽

2008 ◽

Vol 35 (2) ◽

pp. 398-407 ◽

Author(s):

Masaru Uchiyama

Keyword(s):

Exclusion Process ◽

Asymmetric Simple Exclusion Process ◽

Open Boundaries ◽

Simple Exclusion Process ◽

Asymmetric Simple Exclusion ◽

Simple Exclusion

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Exact Current Statistics of the Asymmetric Simple Exclusion Process with Open Boundaries

Physical Review Letters ◽

10.1103/physrevlett.109.170601 ◽

2012 ◽

Vol 109 (17) ◽

Author(s):

Mieke Gorissen ◽

Alexandre Lazarescu ◽

Kirone Mallick ◽

Carlo Vanderzande

Keyword(s):

Exclusion Process ◽

Asymmetric Simple Exclusion Process ◽

Open Boundaries ◽

Simple Exclusion Process ◽

Asymmetric Simple Exclusion ◽

Simple Exclusion

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Asymmetric Simple Exclusion Process with Open Boundaries and Quadratic Harnesses

Journal of Statistical Physics ◽

10.1007/s10955-017-1747-5 ◽

2017 ◽

Vol 167 (2) ◽

pp. 383-415 ◽

Author(s):

Włodek Bryc ◽

Jacek Wesołowski

Keyword(s):

Exclusion Process ◽

Asymmetric Simple Exclusion Process ◽

Open Boundaries ◽

Simple Exclusion Process ◽

Asymmetric Simple Exclusion ◽

Simple Exclusion

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T-Q relations for the integrable two-species asymmetric simple exclusion process with open boundaries

Journal of Statistical Mechanics Theory and Experiment ◽

10.1088/1742-5468/aaeb4a ◽

2019 ◽

Vol 2019 (1) ◽

pp. 014001

Author(s):

Xin Zhang ◽

Fakai Wen ◽

Jan de Gier

Keyword(s):

Exclusion Process ◽

Asymmetric Simple Exclusion Process ◽

Open Boundaries ◽

Simple Exclusion Process ◽

Asymmetric Simple Exclusion ◽

Simple Exclusion

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One-dimensional partially asymmetric simple exclusion process with open boundaries: Orthogonal polynomials approach

10.1063/1.1291631 ◽

2000 ◽

Author(s):

Tomohiro Sasamoto

Keyword(s):

Orthogonal Polynomials ◽

Exclusion Process ◽

Asymmetric Simple Exclusion Process ◽

One Dimensional ◽

Open Boundaries ◽

Simple Exclusion Process ◽

Asymmetric Simple Exclusion ◽

Simple Exclusion

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Construction of a coordinate Bethe ansatz for the asymmetric simple exclusion process with open boundaries

Journal of Statistical Mechanics Theory and Experiment ◽

10.1088/1742-5468/2009/07/p07017 ◽

2009 ◽

Vol 2009 (07) ◽

pp. P07017 ◽

Author(s):

Damien Simon

Keyword(s):

Bethe Ansatz ◽

Exclusion Process ◽

Asymmetric Simple Exclusion Process ◽

Open Boundaries ◽

Simple Exclusion Process ◽

Asymmetric Simple Exclusion ◽

Simple Exclusion

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One-dimensional partially asymmetric simple exclusion process with open boundaries: orthogonal polynomials approach

Journal of Physics A General Physics ◽

10.1088/0305-4470/32/41/306 ◽

1999 ◽

Vol 32 (41) ◽

pp. 7109-7131 ◽

Author(s):

Tomohiro Sasamoto

Keyword(s):

Orthogonal Polynomials ◽

Exclusion Process ◽

Asymmetric Simple Exclusion Process ◽

One Dimensional ◽

Open Boundaries ◽

Simple Exclusion Process ◽

Asymmetric Simple Exclusion ◽

Simple Exclusion

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Asymmetric Simple Exclusion Process with Open Boundaries and Koornwinder Polynomials

Annales Henri Poincaré ◽

10.1007/s00023-016-0540-3 ◽

2017 ◽

Vol 18 (4) ◽

pp. 1121-1151 ◽

Author(s):

Luigi Cantini

Keyword(s):

Exclusion Process ◽

Asymmetric Simple Exclusion Process ◽

Open Boundaries ◽

Simple Exclusion Process ◽

Asymmetric Simple Exclusion ◽

Simple Exclusion

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