• DOI:10.1103/PhysRevE.59.R4725
• Corpus ID: 14418622

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-dimensional critical Ising model. The universal, dimensionally dependent functional forms of this density excess are given by an exact solution and the field-theoretic renormalization group.