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

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dc.creatorSasamoto, Tomohiro
dc.date1999-10-18
dc.date.accessioned2026-07-07T03:14:49Z
dc.date.available2026-07-07T03:14:49Z
dc.descriptionThe 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 the correlation length, which was conjectured in the previous work[J. Phys. A {\bf 32} (1999) 7109], is confirmed.
dc.description24 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9910270
dc.identifierhttp://arxiv.org/abs/cond-mat/9910270
dc.identifierJ. Phys. Soc. Jpn 69 (2000)1055-1067
dc.identifierdoi:10.1143/JPSJ.69.1055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29821
dc.subjectStatistical Mechanics
dc.titleDensity Profile of the One-Dimensional Partially Asymmetric Simple Exclusion Process with Open Boundaries
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