Role of diffusion in branching and annihilation random walk models.

@article{dor2004RoleOD,
  title={Role of diffusion in branching and annihilation random walk models.},
  author={G{\'e}za {\'O}dor},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2004},
  volume={70 6 Pt 2},
  pages={
          066122
        }
}
  • G. Ódor
  • Published 10 June 2004
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
Different branching and annihilating random walk models are investigated by the cluster mean-field method and simulations in one and two dimensions. In the case of the A-->2A , 2A--> 0 model the cluster mean-field approximations show diffusion dependence in the phase diagram as was found recently by the nonperturbative renormalization group method [Phys. Rev. Lett. 92, 255703 (2004)]]. The same type of survey for the A-->2A , 4A--> 0 model results in a reentrant phase diagram, similar to that… 

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