Published May 7, 2004
| Version v1
Journal article
Asymmetric simple exclusion process with open boundaries and Askey-Wilson polynomials
- 1. Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033 (Japan)
- 2. Department of Physics, Tokyo Institute of Technology, Oh-okayama 2-12-1, Meguro-ku, Tokyo 152-8551 (Japan)
Description
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
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/37/4985/a4_18_006.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/37/4985/a4_18_006.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/37/18/006;
- PII
- S0305-4470(04)73392-2;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 37
- Journal Issue
- 18
- Journal Page Range
- p. 4985-5002
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35069118
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S36: MATERIALS SCIENCE;
- Descriptors DEI
- ASYMMETRY; BOUNDARY CONDITIONS; INTEGRALS; PARTITION FUNCTIONS; PHASE DIAGRAMS; POLYNOMIALS
- Descriptors DEC
- DIAGRAMS; FUNCTIONS; INFORMATION