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• W2063625005 abstract "Brownian dynamics simulations of the particle diffusing in a long conical tube (the length of the tube is much greater than its smallest radius) are used to study reduction of the three-dimensional diffusion in tubes of varying cross section to an effective one-dimensional description. The authors find that the one-dimensional description in the form of the Fick-Jacobs equation with a position-dependent diffusion coefficient, D(x), suggested by Zwanzig [J. Phys. Chem. 96, 3926 (1992)], with D(x) given by the Reguera-Rubi formula [Phys. Rev. E 64, 061106 (2001)], D(x)=D/sq rt1+R'(x)2, where D is the particle diffusion coefficient in the absence of constraints, and R(x) is the tube radius at x, is valid when |R'(x)|<or=1. When |R'(x)|>1, higher spatial derivatives of the one-dimensional concentration in the effective diffusion equation cannot be neglected anymore as was indicated by Kalinay and Percus [J. Chem. Phys. 122, 204701 (2005)]. Thus the reduction to the effective one-dimensional description is a useful tool only when |R'(x)|<or=1 since in this case one can apply the powerful standard methods to analyze the resulting diffusion equation." @default.
• W2063625005 created "2016-06-24" @default.
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• W2063625005 date "2007-04-07" @default.
• W2063625005 modified "2023-09-26" @default.
• W2063625005 title "Diffusion in a tube of varying cross section: Numerical study of reduction to effective one-dimensional description" @default.
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• W2063625005 doi "https://doi.org/10.1063/1.2719193" @default.
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