On the applicability of entropy potentials in transport problems

• Published in: The European physical journal. ST, Special topics Vol. 223; no. 14; pp. 3063 - 3077
• Main Authors: Berezhkovskii, A. M., Bezrukov, S. M.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2014
• Subjects: Atomic; Brownian Motion in Confined Geometries. Guest Editors: S.M. Bezrukov; Classical and Continuum Physics; Condensed Matter Physics; L. Schimansky-Geier and G. Schmid (Eds.); Materials Science; Measurement Science and Instrumentation; Molecular; Optical and Plasma Physics; Physics; Physics and Astronomy; Review; Voltage Dependent Anion Channel; Brownian Dynamic Simulation; Optimal Transport; European Physical Journal Special Topic; Channel Radius
• ISSN: 1951-6355; 1951-6401
• DOI: 10.1140/epjst/e2014-02319-3

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.