A family of discrete-time exactly-solvable exclusion processes on a one-dimensional lattice
Institute for Advanced Studies in Basic Sciences, P.O. Box 159, Zanjan 45195, Iran
2 Department of Physics, Alzahra University, Tehran, 19938-91167, Iran
Revised: 21 February 2005
Published online: 6 July 2005
A two-parameter family of discrete-time exactly-solvable exclusion processes on a one-dimensional lattice is introduced, which contains the asymmetric simple exclusion process and the drop-push model as particular cases. The process is rewritten in terms of boundary conditions, and the conditional probabilities are calculated using the Bethe-ansatz. This is the discrete-time version of the continuous-time processes already investigated in [1-3]. The drift- and diffusion-rates of the particles are also calculated for the two-particle sector.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 02.50.Ga – Markov processes
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005