General flux to a trap in one and three dimensions

Robert M. Ziff 1, Satya N. Majumdar 2, Alain Comtet 2, 3

Journal of Physics: Condensed Matter 19 (2007) 065102

The problem of the flux to a spherical trap in one and three dimensions, for diffusing particles undergoing discrete-time jumps with a given radial probability distribution, is solved in general, verifying the Smoluchowski-like solution in which the effective trap radius is reduced by an amount proportional to the jump length. This reduction in the effective trap radius corresponds to the Milne extrapolation length.

  • 1. Michigan Center for Theoretical Physics and Department of chemical Engineering,
    University of Michigan-Ann Arbor
  • 2. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 3. Unite mixte de service de l'institut Henri Poincaré (UMSIHP),
    CNRS : UMS839 – Université Paris VI - Pierre et Marie Curie