{
  "id": "cond-mat/9903009",
  "version": "v1",
  "published": "1999-02-28T13:59:40.000Z",
  "updated": "1999-02-28T13:59:40.000Z",
  "title": "Boundary effects in reaction-diffusion processes",
  "authors": [
    "M. J. E. Richardson",
    "Y. Kafri"
  ],
  "journal": "Phys. Rev. E 59 R4725-R4728 (1999)",
  "doi": "10.1103/PhysRevE.59.R4725",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "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 magnetisation 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 renormalisation group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-02-28T13:59:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reaction-diffusion processes",
      "boundary effects",
      "density excess",
      "general single-species reaction/coalescence process",
      "dimensionally-dependent functional forms"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}