Europhys. Lett, 47 (3), pp. 304-310 (1999)
A multi-species asymmetric exclusion process, steady state and correlation functions on a periodic lattice
School of Physics, Sharif University of Technology
P.O. Box 11365-9161, Tehran, Iran
Institute for Studies in Theoretical Physics and Mathematics
P.O. Box 19395-5746, Tehran, Iran
(received 19 February 1999; accepted in final form 2 June 1999)
PACS. 05.60 - Transport processes: theory.
PACS. 05.40 - Fluctuation phenomena, random processes, noise, and Brownian motion.
PACS. 02.50Ey - Stochastic processes.
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 ring 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 on the steady-state properties of the bulk is studied.
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