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The European Physical Journal Special Topics

, Volume 223, Issue 14, pp 3063–3077 | Cite as

On the applicability of entropy potentials in transport problems

  • A. M. Berezhkovskii
  • S. M. Bezrukov
Review
Part of the following topical collections:
  1. Brownian Motion in Confined Geometries. Guest Editors: S.M. Bezrukov, L. Schimansky-Geier and G. Schmid (Eds.)

Abstract

Transport in confined structures of varying geometry has become the subject of growing attention in recent years since such structures are ubiquitous in biology and technology. In analyzing transport in systems of this type, the notion of entropy potentials is widely used. Entropy potentials naturally arise in one-dimensional description of equilibrium distributions in multidimensional confined structures. However, their application to transport problems requires some caution. In this article we discuss such applications and summarize the results of recent studies exploring the limits of applicability. We also consider an example of a transport problem in a system of varying geometry, where the conventional approach is inapplicable since the geometry changes abruptly. In addition, we demonstrate how the entropy potential can be used to analyze optimal transport through a three-dimensional cosine-shaped channel.

Keywords

European Physical Journal Special Topic Voltage Dependent Anion Channel Optimal Transport Brownian Dynamic Simulation Channel Radius 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences and Springer 2014

Authors and Affiliations

  • A. M. Berezhkovskii
    • 1
    • 2
  • S. M. Bezrukov
    • 1
  1. 1.Program in Physical Biology, Eunice Kennedy Shriver National Institute of Child Health and Human DevelopmentNational Institutes of HealthBethesdaUSA
  2. 2.Mathematical and Statistical Computing Laboratory, Division of Computational Bioscience, Center for Information TechnologyNational Institutes of HealthBethesdaUSA

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