Eur. Phys. J. B 45, 399-404 (2005)
https://doi.org/10.1140/epjb/e2005-00193-4

A family of discrete-time exactly-solvable exclusion processes on a one-dimensional lattice

¹ Institute for Advanced Studies in Basic Sciences, P.O. Box 159, Zanjan 45195, Iran
² Department of Physics, Alzahra University, Tehran, 19938-91167, Iran

Corresponding authors: ^a farinaz@iasbs.ac.ir - ^b mamwad@mailaps.org

Received: 7 December 2004
Revised: 21 February 2005
Published online: 6 July 2005

Abstract

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.