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Paper   IPM / P / 8771
School of Physics
  Title:   A Simple Autonomous Reaction-Diffusion Model for the Annihilation or Creation of Particles on Multi-Dimensional Continua
  Author(s):  F. Roshani
  Status:   Preprint
  Journal:
  Year:  2008
  Supported by:  IPM
  Abstract:
A simple model for the annihilation or creation of particles on a D- dimensional region with boundaries is considered. Particles can be in- jected or extracted at the boundary too. Two general behaviours of this system is investigated. The stationary behaviour of this system, and the dominant way of the relaxation of the system towards its stationary state. Based on the �rst behaviour, static phase transitions (discontin- uous changes in the stationary pro�les of the system) are investigated. Based on the second behaviour, dynamical phase transitions (discontin- uous changes in the relaxation-times of the system) are studied. The investigation is specialized to systems in which the evolution equation of one-point functions are closed (the autonomous system).

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