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Paper   IPM / Physic / 6726
School of Physics
  Title:   Exact Determination of the Phase Structure of the P-Species Asymmetric Exclusion Process
  Author(s): 
1.  M. Khorrami
2.  V. Karimipour
  Status:   Published
  Journal: J. Stat. Phys.
  Vol.:  100
  Year:  2000
  Pages:   999-1030
  Supported by:  IPM
  Abstract:
We consider a multi-species generalization of the Asymmetric Simple Exclusion Process on an open chain, in which particles hop with their characteristic hopping rates and fast particles can overtake slow ones. The number of species is arbitrary and the hopping rates can be selected from a discrete or continuous distribution. We determine exactly the phase structure of this model and show how the phase diagram of the 1-species ASEP is modified. Depending on the distribution of hopping rates, the system can exist in a three-phase regime or a two phase regime. In the three- phase regime the phase structure is almost the same as in the one species case, that is, there are the low density, the high density and the maximal current phases, while in the two-phase regime there is no high density phase.

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