- Abstract:
-
We study the partially asymmetric exclusion process with open boundaries. We generalize the matrix approach previously used to solve the special case of total asymmetry and derive exact expressions for the partition sum and currents valid for all values of the asymmetry parameter q. Due to the relationship between the matrix algebra and the q-deformed quantum harmonic oscillator algebra we find that q-Hermite polynomials, along with their orthogonality properties and generating functions, are...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1088/0305-4470/33/12/301
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- Journal:
- JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
- Volume:
- 33
- Issue:
- 12
- Pages:
- 2313-2332
- Publication date:
- 2000-03-31
- DOI:
- EISSN:
-
1361-6447
- ISSN:
-
0305-4470
- URN:
-
uuid:e6b5b1e8-233b-4c1e-a662-dc490efa4013
- Source identifiers:
-
199353
- Local pid:
- pubs:199353
- Language:
- English
- Copyright date:
- 2000
Journal article
Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra
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