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Paper   IPM / Physic / 6615
School of Physics
  Title:   Exact Solution of A One-Parameter Family of Asymmetric Exclusion Processes
  Author(s): 
1.  V. Karimipour
2.  M. Khorrami
3.  M. Alimohammadi
  Status:   Published
  Journal: Phys. Rev. E
  No.:  95
  Vol.:  57
  Year:  1998
  Pages:   6370-6376
  Supported by:  IPM
  Abstract:
We define a family of asymmetric processes for particles on a one-dimensional lattice, depending on a continuous parameter λ ∈ [0,1], interpolating between the completely asymmetric processes [1] (for λ = 1) and the n=1 drop-push models [2] (for λ = 0). For arbitrary λ, the model describes an exclusion process, in which a particle pushes its right neighbouring particles to the right, with rates depending on the number of these particles. Using the Bethe ansatz, we obtain the exact solution of the master equation.

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