S. W. Cowan, T. Schirmer, G. Rummel, M. Steiert, R. Ghosh, R. A. Pauptit, J. N. Jansonius, and J. P. Rosenbusch, Nature, Vol. 358, pp. 727. doi:10.1038/358727a0
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.