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Paper   IPM / Physic / 6713
School of Physics
  Title:   Multi-Speciec Asymmetric Exclusion Process in Orderd Sequential Update
  Author(s): 
1.  M.E. Fouladvand
2.  F. Jafarpour
  Status:   Published
  Journal: J. Phys. A: Math. Gen.
  No.:  28
  Vol.:  32
  Year:  1999
  Pages:   5845-5867
  Supported by:  IPM
  Abstract:
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.

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