V. Karimipour, A multi-species asymmetric exclusion process, steady state and correlationfunctions on a periodic lattice, EUROPH LETT, 47(3), 1999, pp. 304-310
By generalizing the algebra of operators of the Asymmetric Simple Exclusion
Process (ASEP), a multi-species ASEP in which particles can overtake each
other is defined on both open and closed one-dimensional chains. On the rin
g the steady state and the correlation functions are obtained exactly. The
relation to particle hopping models of traffic and the possibility of shock
waves in open systems is discussed. The effect of the boundary condition o
n the steady-state properties of the bulk is studied.