Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (2)

Search Parameters:
Keywords = entropic transport in confined systems

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
25 pages, 958 KiB  
Review
Dynamics of Ion Channels via Non-Hermitian Quantum Mechanics
by Tobias Gulden and Alex Kamenev
Entropy 2021, 23(1), 125; https://doi.org/10.3390/e23010125 - 19 Jan 2021
Cited by 2 | Viewed by 3699
Abstract
We study dynamics and thermodynamics of ion transport in narrow, water-filled channels, considered as effective 1D Coulomb systems. The long range nature of the inter-ion interactions comes about due to the dielectric constants mismatch between the water and the surrounding medium, confining the [...] Read more.
We study dynamics and thermodynamics of ion transport in narrow, water-filled channels, considered as effective 1D Coulomb systems. The long range nature of the inter-ion interactions comes about due to the dielectric constants mismatch between the water and the surrounding medium, confining the electric filed to stay mostly within the water-filled channel. Statistical mechanics of such Coulomb systems is dominated by entropic effects which may be accurately accounted for by mapping onto an effective quantum mechanics. In presence of multivalent ions the corresponding quantum mechanics appears to be non-Hermitian. In this review we discuss a framework for semiclassical calculations for the effective non-Hermitian Hamiltonians. Non-Hermiticity elevates WKB action integrals from the real line to closed cycles on a complex Riemann surfaces where direct calculations are not attainable. We circumvent this issue by applying tools from algebraic topology, such as the Picard-Fuchs equation. We discuss how its solutions relate to the thermodynamics and correlation functions of multivalent solutions within narrow, water-filled channels. Full article
Show Figures

Figure 1

3 pages, 149 KiB  
Editorial
Nonequilibrium Phenomena in Confined Systems
by Giancarlo Franzese, Ivan Latella and J. Miguel Rubi
Entropy 2017, 19(9), 507; https://doi.org/10.3390/e19090507 - 20 Sep 2017
Cited by 6 | Viewed by 3600
Abstract
Confined systems exhibit a large variety of nonequilibrium phenomena. In this special issue, we have collected a limited number of papers that were presented during the XXV Sitges Conference on Statistical Mechanics, devoted to “Nonequilibrium phenomena in confined systems”.[...] Full article
(This article belongs to the Special Issue Nonequilibrium Phenomena in Confined Systems)
Back to TopTop