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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2015

Algebraic Bethe ansatz for the totally asymmetric simple exclusion process with boundaries

Nicolas Crampé

Résumé

We study the one-dimensional totally asymmetric simple exclusion process in contact with two reservoirs including also a fugacity at one boundary. The eigenvectors and the eigenvalues of the corresponding Markov matrix are computed using the modified algebraic Bethe ansatz, method introduced recently to study the spin chain with non-diagonal boundaries. We provide in this case a proof of this method.

Dates et versions

hal-01110888 , version 1 (29-01-2015)

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Nicolas Crampé. Algebraic Bethe ansatz for the totally asymmetric simple exclusion process with boundaries. Journal of Physics A: Mathematical and Theoretical, 2015, 48 (8), pp.08FT01. ⟨10.1088/1751-8113/48/8/08FT01⟩. ⟨hal-01110888⟩
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