Journal article
Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra
- 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...
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- Publication status:
- Published
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- Publisher copy:
- 10.1088/0305-4470/33/12/301
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Bibliographic Details
- 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
- Source identifiers:
-
199353
Item Description
- Language:
- English
- Pubs id:
-
pubs:199353
- UUID:
-
uuid:e6b5b1e8-233b-4c1e-a662-dc490efa4013
- Local pid:
- pubs:199353
- Deposit date:
- 2012-12-19
Terms of use
- Copyright date:
- 2000
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