Boundary effects in reaction-diffusion processes.

@article{Richardson1999BoundaryEI,
  title={Boundary effects in reaction-diffusion processes.},
  author={Michael J. Richardson and Yariv Kafri},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  year={1999},
  volume={59 5 Pt A},
  pages={
          R4725-8
        }
}
  • M. J. Richardson, Y. Kafri
  • Published 28 February 1999
  • Physics
  • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
The effects of a boundary on reaction systems are examined in the framework of the general single-species reaction/coalescence process. The boundary naturally represents the reactants' container, but is applicable to exciton dynamics in a doped TMMC crystal. We show that a density excess, which extends into the system diffusively from the boundary, is formed in two dimensions and below. This implies a surprising result for the magnetization near a fixed spin in the coarsening of the one… 
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