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Paper   IPM / Physic / 6677
School of Physics
  Title:   A Multi Species Asymmetric Exclusion Process, Steady State and Correlation Functions on A Periodic Lattice
  Author(s):  V. Karimipour
  Status:   Published
  Journal: Europhys. Lett.
  No.:  15
  Vol.:  47
  Year:  1999
  Pages:   304-310
  Supported by:  IPM
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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