Corrections to the Fick-Jacobs equation

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P. Kalinay¹ and J. K. Percus²
¹Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, 845 11 Bratislava, Slovak Republic
²Courant Institute of Mathematical Sciences, New York University, New York, New York 10012, USA and Department of Physics, New York University, New York, New York 10003, USA

See Also: Publisher's Note

Received 20 July 2006; published 5 October 2006; publisher error corrected 6 October 2006

Diffusionin a quasi-one-dimensional channel, with cross section varying along thelongitudinal coordinate, is considered. Using a rigorous mapping of thediffusion equation onto one dimension, eliminating transients in transverse direction(s),we derive an expansion of the effective diffusion coefficient D(x),which represents corrections to the Fick-Jacobs equation.

URL:	http://link.aps.org/doi/10.1103/PhysRevE.74.041203
DOI:	10.1103/PhysRevE.74.041203
PACS:	51.20.+d 51.20.+d Viscosity, diffusion, and thermal conductivity of gases YEAR: 2006
KEYWORDS:	diffusion, nanostructured materials, nonequilibrium thermodynamics

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D. Reguera and J. M. Rubí, Phys. Rev. E 64, 061106 (2001).
P. Kalinay and J. K. Percus, J. Chem. Phys. 122, 204701 (2005).
P. Kalinay and J. K. Percus, Phys. Rev. E 72, 061203 (2005).

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Erratum

Publisher's Note: Corrections to the Fick-Jacobs equation [Phys. Rev. E 74, 041203 (2006)]
P. Kalinay and J. K. Percus
Phys. Rev. E 74, 049904 (E) (2006)