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Ion transport through charged nanopores is commonly interpreted in terms of electrical double layer structure, leading to the expectation of cation-selective conduction in negatively charged pores. This picture can break down for…

Statistical Mechanics · Physics 2026-04-29 Salman Shabbir , Dezső Boda , Zoltán Ható

Using our generalized Fick-Jacobs approach [Martens et al., PRL 110, 010601 (2013); Martens et al., Eur. Phys. J. Spec. Topics 222, 2453-2463 (2013)] and extensive Brownian dynamics simulations, we study particle transport through…

Statistical Mechanics · Physics 2015-06-22 S. Martens , A. V. Straube , G. Schmid , L. Schimansky-Geier , P. Hänggi

Ion transport in porous media is present in a wealth of technologies, e.g., energy storage devices such as batteries and supercapacitors, and environmental technologies such as electrochemical carbon capture and capacitive deionization.…

Soft Condensed Matter · Physics 2022-06-17 Filipe Henrique , Pawel J. Zuk , Ankur Gupta

We consider the Poisson-Nernst-Planck system which is well-accepted for describing dilute electrolytes as well as transport of charged species in homogeneous environments. Here, we study these equations in porous media whose electric…

Mathematical Physics · Physics 2013-02-26 Markus Schmuck

In inertial microfluidics lift forces cause a particle to migrate across streamlines to specific positions in the cross section of a microchannel. We control the rotational motion of a particle and demonstrate that this allows to manipulate…

Fluid Dynamics · Physics 2014-02-11 Christopher Prohm , Nikolas Zöller , Holger Stark

The transport of molecules through biological and synthetic nanopores is governed by multiple stochastic processes that lead to noisy, fluctuating currents. Disentangling the characteristics of different noise-generating mechanisms is…

Soft Condensed Matter · Physics 2024-10-03 Stuart F. Knowles , Eleanor K. R. Mackay , Alice L. Thorneywork

In this paper, based on geometric singular perturbation analysis of a quasi-one dimensional Poisson-Nernst-Planck model for ionic flows, we study the problem of zero current condition for ionic flows through membrane channels with a simple…

Dynamical Systems · Mathematics 2020-09-22 Hamid Mofidi , Weishi Liu

We consider the problem of electron transport in segregated conductor-insulator composites in which the conducting particles are connected to all others via tunneling conductances, thus forming a global tunnelingconnected resistor network.…

Disordered Systems and Neural Networks · Physics 2012-01-23 B. Nigro , C. Grimaldi , P. Ryser

Transport through quantum coherent conductors, like atomic junctions, is described by the distribution of conduction channels. Information about the number of channels and their transmission can be extracted from various sources, such as…

Ion transport through narrow channels is described by the coupled Poisson--Nernst--Planck--Stokes equations (PNPS) on a continuum scale. However, direct numerical simulations in two or three dimensions of boundary value problems for small…

Analysis of PDEs · Mathematics 2026-03-10 Christine Keller , Andreas Münch , Barbara Wagner

Molecular conduction operating in dielectric solvent environments are often described using kinetic rates based on Marcus theory of electron transfer at a molecule-metal electrode interface. However, the successive nature of charge transfer…

Chemical Physics · Physics 2020-02-18 Henning Kirchberg , Michael Thorwart , Abraham Nitzan

We consider the millimeter-wave electrodynamics specific to quasi-two-dimensional conductors and superconductors based on the organic donor molecule BEDT-TTF. Using realistic physical parameters, we examine the current polarizations that…

Strongly Correlated Electrons · Physics 2009-10-31 Stephen Hill

In this article we address the study of ion charge transport in the biological channels separating the intra and extracellular regions of a cell. The focus of the investigation is devoted to including thermal driving forces in the…

Numerical Analysis · Mathematics 2015-04-24 Riccardo Sacco , Fabio Manganini , Joseph W. Jerome

We consider electrodiffusion of ions in fluids, described by the Nernst-Planck-Navier-Stokes system, in three dimensional bounded domains, with mixed blocking (no-flux) and selective (Dirichlet) boundary conditions for the ionic…

Analysis of PDEs · Mathematics 2022-12-15 Fizay-Noah Lee

We present a quaternion inspired formalism specifically developed to evaluate the intensity of the electrical current that traverses a single molecule connected to two semi-infinite electrodes as the applied external bias is varied. The…

Mesoscale and Nanoscale Physics · Physics 2012-01-18 Augusto C. L. Moreira , Celso P. de Melo

Advective trapping occurs when solute enters low velocity zones in heterogeneous porous media. Classical local modeling approaches combine the impact of slow advection and diffusion into a hydrodynamic dispersion coefficient and many…

Fluid Dynamics · Physics 2020-12-02 Juan J. Hidalgo , Insa Neuweiler , Marco Dentz

In electrochemical systems, an understanding of the underlying transport processes is required to aid in their better design. This includes knowledge of possible near-electrode convective mixing that can enhance measured currents. Here, for…

Fluid Dynamics · Physics 2021-09-15 Nakul Pande , Jeffery A. Wood , Guido Mul , Detlef Lohse , Bastian T. Mei , Dominik Krug

Channels are fundamental building blocks from biophysics to soft robotics, often used to transport or separate solutes. As solute particles inevitably transverse between streamlines along the channel by molecular diffusion, the effective…

Soft Condensed Matter · Physics 2020-02-10 Sophie Marbach , Karen Alim

Poisson-Boltzmann theory is the cornerstone for soft matter electrostatics. We provide novel exact analytical solutions to this non-linear mean-field approach, for the diffuse layer of ions in the vicinity of a planar or a cylindrical…

Soft Condensed Matter · Physics 2020-01-29 L. Samaj , E. Trizac

Conduction in bulk polycrystalline high-T$_c$ superconductors with relatively high critical currents has been shown to be percolative. This phenomenon is due to weak links at grain boundaries. These weak links are the major limiting factor…

Superconductivity · Physics 2007-05-23 Robert Haslinger , Robert Joynt
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