General flux to a trap in one and three dimensions

  title={General flux to a trap in one and three dimensions},
  author={Robert M. Ziff and Satya N. Majumdar and Alain Comtet},
  journal={Journal of Physics: Condensed Matter},
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. 
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