Literature DB >> 17155047

Corrections to the Fick-Jacobs equation.

P Kalinay1, J K Percus.   

Abstract

Diffusion in a quasi-one-dimensional channel, with cross section varying along the longitudinal coordinate, is considered. Using a rigorous mapping of the diffusion 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.

Year:  2006        PMID： 17155047     DOI： 10.1103/PhysRevE.74.041203

Source DB:  PubMed          Journal:  Phys Rev E Stat Nonlin Soft Matter Phys        ISSN： 1539-3755


  22 in total

1.  Diffusion in periodic two-dimensional channels formed by overlapping circles: comparison of analytical and numerical results.

Authors:  Inti Pineda; Marco-Vinicio Vazquez; Alexander M Berezhkovskii; Leonardo Dagdug
Journal:  J Chem Phys       Date:  2011-12-14       Impact factor: 3.488

2.  Diffusion in the presence of cylindrical obstacles arranged in a square lattice analyzed with generalized Fick-Jacobs equation.

Authors:  Leonardo Dagdug; Marco-Vinicio Vazquez; Alexander M Berezhkovskii; Vladimir Yu Zitserman; Sergey M Bezrukov
Journal:  J Chem Phys       Date:  2012-05-28       Impact factor: 3.488

3.  Unbiased diffusion in tubes with corrugated walls.

Authors:  Leonardo Dagdug; Marco-Vinicio Vazquez; Alexander M Berezhkovskii; Sergey M Bezrukov
Journal:  J Chem Phys       Date:  2010-07-21       Impact factor: 3.488

4.  Communications: Drift and diffusion in a tube of periodically varying diameter. Driving force induced intermittency.

Authors:  Alexander M Berezhkovskii; Leonardo Dagdug; Yurii A Makhnovskii; Vladimir Yu Zitserman
Journal:  J Chem Phys       Date:  2010-06-14       Impact factor: 3.488

5.  Biased diffusion in tubes formed by spherical compartments.

Authors:  Alexander M Berezhkovskii; Leonardo Dagdug
Journal:  J Chem Phys       Date:  2010-10-07       Impact factor: 3.488

6.  Range of applicability of modified Fick-Jacobs equation in two dimensions.

Authors:  Alexander M Berezhkovskii; Leonardo Dagdug; Sergey M Bezrukov
Journal:  J Chem Phys       Date:  2015-10-28       Impact factor: 3.488

7.  On the applicability of entropy potentials in transport problems.

Authors:  Alexander M Berezhkovskii; Sergey M Bezrukov
Journal:  Eur Phys J Spec Top       Date:  2014-12       Impact factor: 2.707

8.  Diffusion in linear porous media with periodic entropy barriers: A tube formed by contacting spheres.

Authors:  Marco-Vinicio Vazquez; Alexander M Berezhkovskii; Leonardo Dagdug
Journal:  J Chem Phys       Date:  2008-07-28       Impact factor: 3.488

9.  One-dimensional description of diffusion in a tube of abruptly changing diameter: Boundary homogenization based approach.

Authors:  Alexander M Berezhkovskii; Alexander V Barzykin; Vladimir Yu Zitserman
Journal:  J Chem Phys       Date:  2009-12-14       Impact factor: 3.488

10.  Effective diffusion coefficient of a Brownian particle in a periodically expanded conical tube.

Authors:  Anatoly E Antipov; Alexander V Barzykin; Alexander M Berezhkovskii; Yurii A Makhnovskii; Vladimir Yu Zitserman; Sergei M Aldoshin
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2013-11-07
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