On the applicability of entropy potentials in transport problems

The European Physical Journal. Special Topics
Alexander M Berezhkovskii, Sergey M Bezrukov

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 tree-dimensional cosine-shaped channel.

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Citations

Dec 15, 2015·Pathogens and Disease·Sergey M Bezrukov, Ekaterina M Nestorovich
Mar 5, 2016·The Journal of Chemical Physics·Roberto VerdelSergey M Bezrukov
Mar 5, 2016·Biochimica Et Biophysica Acta·Sergei Yu NoskovSergey M Bezrukov
Nov 2, 2015·The Journal of Chemical Physics·Alexander M BerezhkovskiiSergey M Bezrukov
Mar 28, 2018·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Yoshua ChávezLeonardo Dagdug
Dec 1, 2014·The European Physical Journal. Special Topics·S M BezrukovG Schmid
Feb 20, 2021·Physical Review. E·Leonardo DagdugSergey M Bezrukov
Mar 17, 2020·The Journal of Physical Chemistry. B·Alexander M BerezhkovskiiSergey M Bezrukov
Jun 30, 2018·The Journal of Physical Chemistry. B·Alexander M Berezhkovskii, Sergey M Bezrukov
Sep 5, 2018·Nano Letters·María Queralt-MartínAntonio Alcaraz

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