%0 Journal Article
%T Algebraic Bethe ansatz for the totally asymmetric simple exclusion process with boundaries
%+ Laboratoire Charles Coulomb (L2C)
%A Crampé, Nicolas
%< avec comité de lecture
%Z L2C:14-274
%@ 1751-8113
%J Journal of Physics A: Mathematical and Theoretical
%I IOP Publishing
%V 48
%N 8
%P 08FT01
%8 2015-01-28
%D 2015
%Z 1411.7954
%R 10.1088/1751-8113/48/8/08FT01
%Z 02.10.Ud Linear algebra; 02.50.Ga Markov processes; 05.20.-y Classical statistical mechanics; 02.10.Yn Matrix theory
%Z Physics [physics]/Mathematical Physics [math-ph]
%Z Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech]
%Z Mathematics [math]/Mathematical Physics [math-ph]
%Z Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI]Journal articles
%X 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.
%G English
%L hal-01110888
%U https://hal.science/hal-01110888
%~ CNRS
%~ L2C
%~ TDS-MACS
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021