A M Povolotsky and V B Priezzhev J. Stat. Mech. (2006) P07002 doi:10.1088/1742-5468/2006/07/P07002
Determinant solution for the totally asymmetric exclusion process with parallel update
FREE ARTICLE Topical articles on The 75th Anniversary of the Bethe AnsatzA M Povolotsky1,2 and V B Priezzhev2
Show affiliationsPart of Topical articles on The 75th Anniversary of the Bethe Ansatz
We consider the totally asymmetric exclusion process in discrete time with the parallel update. Constructing an appropriate transformation of the evolution operator, we reduce the problem to that solvable by the Bethe ansatz. The nonstationary solution of the master equation for the infinite 1D lattice is obtained in a determinant form. Using a modified combinatorial treatment of the Bethe ansatz, we give an alternative derivation of the resulting determinant expression.
- Keywords
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E-print Number: cond-mat/0605150
Cited: by |
Refers: to
- PACS
- MSC
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82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
82B23 Exactly solvable models; Bethe ansatz
05A05 Combinatorial choice problems (subsets, representatives, permutations)
- Subjects
- Dates
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Issue 07 (July 2006)
Received 7 May 2006, accepted for publication 19 June 2006
Published 12 July 2006
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Determinant solution for the totally asymmetric exclusion process with parallel update
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