A multi-species generalization of the asymmetric simple exclusion process (ASEP) is studied in ordered sequential and sub-lattice parallel updating schemes. In this model, particles hop with their own specific probabilities to their rightmost empty site and fast particles overtake slow ones with a definite probability. Using Matrix Product Ansatz (MPA), we obtain the relevant algebra, and study the uncorrelated stationary state of the model both for an open system and on a ring. A complete comparison between the physical results in these updates and those of random sequential introduced in [20,21] is made.
FOULADVAND, M. EBRAHİM and JAFARPOUR, FARHAD (2000) "Multi-Species Asymmetric Exclusion Process in Ordered Sequential Update," Turkish Journal of Physics: Vol. 24: No. 3, Article 15. Available at: https://journals.tubitak.gov.tr/physics/vol24/iss3/15