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Paper   IPM / P / 7924
School of Physics
  Title:   Phase Transition and Shock Formation in Reaction-Diffusion Systems: Numerical Approach
  Author(s):  F. Jafarpour
  Status:   In Proceedings
  Proceeding: Proceedings of XI Regional Conference on Mathematical Physics, 3-6 May 2004, p42-45, Tehran, Iran
  Year:  2004
  Pages:   42-45
  Supported by:  IPM
  Abstract:
We study a one-dimensional branching-coalescing model on a chain of length L with reflecting boundaries. The phase transitions of this model is investigated 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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