Literature DB >> 26520493

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

Alexander M Berezhkovskii1, Leonardo Dagdug1, Sergey M Bezrukov1.   

Abstract

Axial diffusion in a two-dimensional channel of smoothly varying geometry can be approximately described as one-dimensional diffusion in the entropy potential with position-dependent effective diffusivity by means of the modified Fick-Jacobs equation. In this paper, Brownian dynamics simulations are used to study the range of applicability of such a description, as well as the accuracy of the expressions for the effective diffusivity proposed by different researchers.

Mesh：

Year:  2015        PMID： 26520493      PMCID： PMC4617739          DOI： 10.1063/1.4934223

Source DB:  PubMed          Journal:  J Chem Phys        ISSN： 0021-9606            Impact factor:   3.488


  13 in total

1.  Kinetic equations for diffusion in the presence of entropic barriers.

Authors:  D Reguera; J M Rubí
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2001-11-21

2.  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

3.  Diffusion in a two-dimensional channel with curved midline and varying width: reduction to an effective one-dimensional description.

Authors:  R Mark Bradley
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2009-12-31

4.  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

5.  Corrections to the Fick-Jacobs equation.

Authors:  P Kalinay; J K Percus
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2006-10-05

6.  Diffusion in a tube of varying cross section: numerical study of reduction to effective one-dimensional description.

Authors:  A M Berezhkovskii; M A Pustovoit; S M Bezrukov
Journal:  J Chem Phys       Date:  2007-04-07       Impact factor: 3.488

7.  Extended Fick-Jacobs equation: variational approach.

Authors:  P Kalinay; J K Percus
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2005-12-14

8.  Entropic particle transport: higher-order corrections to the Fick-Jacobs diffusion equation.

Authors:  S Martens; G Schmid; L Schimansky-Geier; P Hänggi
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2011-05-31

9.  Time scale separation leads to position-dependent diffusion along a slow coordinate.

Authors:  Alexander Berezhkovskii; Attila Szabo
Journal:  J Chem Phys       Date:  2011-08-21       Impact factor: 3.488

10.  Projection of two-dimensional diffusion in a curved midline and narrow varying width channel onto the longitudinal dimension.

Authors:  Leonardo Dagdug; Inti Pineda
Journal:  J Chem Phys       Date:  2012-07-14       Impact factor: 3.488
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  3 in total

1.  Unbiased diffusion in two-dimensional channels with corrugated walls.

Authors:  Roberto Verdel; Leonardo Dagdug; Alexander M Berezhkovskii; Sergey M Bezrukov
Journal:  J Chem Phys       Date:  2016-02-28       Impact factor: 3.488

2.  Hydrodynamic and entropic effects on colloidal diffusion in corrugated channels.

Authors:  Xiang Yang; Chang Liu; Yunyun Li; Fabio Marchesoni; Peter Hänggi; H P Zhang
Journal:  Proc Natl Acad Sci U S A       Date:  2017-08-22       Impact factor: 11.205

3.  Peculiarities of the Mean Transition Path Time Dependence on the Barrier Height in Entropy Potentials.

Authors:  Alexander M Berezhkovskii; Leonardo Dagdug; Sergey M Bezrukov
Journal:  J Phys Chem B       Date:  2020-03-16       Impact factor: 2.991
  3 in total

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