# 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 } }

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…

## 8 Citations

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We study the lattice reaction–diffusion model , (‘triplet creation’) using numerical simulations and n-site approximations. The simulation results suggest that the phase transition is discontinuous…

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