On the applicability of entropy potentials in transport problems
- 147 Downloads
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.
KeywordsEuropean Physical Journal Special Topic Voltage Dependent Anion Channel Optimal Transport Brownian Dynamic Simulation Channel Radius
Unable to display preview. Download preview PDF.
- 13.M.H. Jacobs, Diffusion Processes (Springer, New York, 1967)Google Scholar
- 22.S. Martens, G. Schmid, L. Schimansky-Geier, P. Hanggi 21, 047518 (2011)Google Scholar
- 34.A.M. Berezhkovskii, M.I. Monine, C.B. Muratov, S.Y. Shvartsman, J. Chem. Phys. 124, (2006)Google Scholar