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Paper   IPM / Physic / 7336
School of Physics
  Title:   Shock in A Branching-Coalescing Model with Reflecting Boundaries
  Author(s):  F. Jafarpour
  Status:   Published
  Journal: Phys. Lett. A
  Vol.:  322
  Year:  2004
  Pages:   270-276
  Supported by:  IPM
A one-dimensional branching-coalescing model is considered on a chain of length L with reflecting boundaries. We study the phase transitions of this model in a canonical ensemble by using the Yang-Lee description of the non-equilibrium phase transitions. Numerical study of the canonical partition function zeros reveals two second-order phase transitions in the system. Both transition points are determined by the density of the particles on the chain. In some regions the density profile of the particles has a shock structure.

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