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O. Bénichou, and R. Voituriez, “Narrow-Escape Time Problem: Time Needed for a Particle to Exit a Confining Domain through a Small Window,” Physical Review Letters, Vol. 100, pp. 168105(1-4).

has been cited by the following article:

• TITLE: Unbiased Diffusion to Escape through Small Windows: Assessing the Applicability of the Reduction to Effective One-Dimension Description in a Spherical Cavity

  AUTHORS: Marco-Vinicio Vazquez, Leonardo Dagdug

  KEYWORDS: Diffusion, Brownian Particle, Fick-Jacobs Equation, Narrow-Escape Time

  JOURNAL NAME: Journal of Modern Physics, Vol.2 No.4, April 22, 2011

  ABSTRACT: This study is devoted to unbiased motion of a point Brownian particle that escapes from a spherical cavity through a round hole. Effective one-dimensional description in terms of the generalized Fick-Jacobs equation is used to derive a formula which gives the mean first-passage time as a function of the geometric parameters for any value of a, where a is the hole’s radius. This is our main result and is given in equation (19). This result is a generalization of the Hill’s formula, which is restricted to small values of a.