Abstract
Using the Bethe ansatz, we obtain the exact solution of the master equation for the totally asymmetric exclusion process on an infinite one-dimensional lattice. We derive explicit expressions for the conditional probabilitiesP(x1,...,xN;t/y 1,...,yN; 0) of findingN particles on lattices sitesx 1,...,xN at timet with initial occupationy 1,...,yN at timet=0.
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Schütz, G.M. Exact solution of the master equation for the asymmetric exclusion process. J Stat Phys 88, 427–445 (1997). https://doi.org/10.1007/BF02508478
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DOI: https://doi.org/10.1007/BF02508478