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Stabilization and dispersion of electrical charge by colloids in non-polar media, such as nano-particles or inverse micelles, is significant for a variety of chemical and technological applications, ranging from drug delivery to e-ink. Many…

Chemical Physics · Physics 2019-04-16 Sariel Bier , Arik Yochelis

Accounting for concentration-polarization (CP) is critical for modeling solute transport in membrane separation processes. In a mixed-electrolyte solution, ions CP is affected not only by diffusion and advection but also by…

Soft Condensed Matter · Physics 2021-08-05 Yaeli S. Oren , Viatcheslav Freger , Oded Nir

We theoretically study the electrokinetic transport properties of nano-fluidic devices under the influence of a pressure, voltage or salinity gradient. On a microscopic level the behaviour of the device is quantified by the Onsager matrix…

Soft Condensed Matter · Physics 2019-12-02 B. L. Werkhoven , R. van Roij

A theory of the valley and spin Hall effects and resulting accumulation of the valley and spin polarization is developed for ultraclean channels made of two-dimensional semiconductors where the electron mean free path due to the residual…

Mesoscale and Nanoscale Physics · Physics 2021-12-02 M. M. Glazov

In this letter we analyze the effects of an externally applied electric field on thermal fluctuations for a fluid containing charged species. We show in particular that the fluctuating Poisson-Nernst-Planck equations for charged…

A transient Poisson-Nernst-Planck system with steric effects is analyzed in a bounded domain with no-flux boundary conditions for the ion concentrations and mixed Dirichlet-Neumann boundary conditions for the electric potential. The steric…

Analysis of PDEs · Mathematics 2024-11-27 Peter Hirvonen , Ansgar Jüngel

In the framework of a multiscale modeling approach, we present a systematic study of a bipolar rectifying nanopore using a continuum and a particle simulation method. The common ground in the two methods is the application of the…

The present article experimentally and theoretically probes the evaporation kinetics of sessile saline droplets. Observations reveal that presence of solvated ions leads to modulated evaporation kinetics, which is further a function of…

Fluid Dynamics · Physics 2020-06-24 Abhishek Kaushal , Vivek Jaiswal , Vishwajeet Mehandia , Purbarun Dhar

In multispecies electrolyte solutions, even in the absence of an external electric field, differences in ion diffusivities induce an electric potential and generate additional fluxes for each species. This electro-diffusion process is…

Fluid Dynamics · Physics 2023-11-14 Lingyun Ding

Surface sensitive electric current measurements are important experimental tools poorly corroborated by theoretical models. We show that the drift-diffusion equations offer a framework for a consistent description of such experiments. The…

Mesoscale and Nanoscale Physics · Physics 2017-06-15 Jakub Lis

Molecular dynamics (MD) simulations are used to determine the diffusion coefficients, electrophoretic mobilities and electrical conductivity of a charged colloidal suspension in the salt-free regime as a function of the colloid charge. The…

Soft Condensed Matter · Physics 2010-12-16 Sorin Bastea

Transport of molecules across membrane channels is investigated theoretically using exactly solvable discrete stochastic site-binding models. It is shown that the interaction potential between molecules and the channel has a strong effect…

Soft Condensed Matter · Physics 2009-11-11 Anatoly B. Kolomeisky

A cross-diffusion system describing ion transport through biological membranes or nanopores in a bounded domain with mixed Dirichlet-Neumann boundary conditions is analyzed. The ion concentrations solve strongly coupled diffusion equations…

Analysis of PDEs · Mathematics 2017-06-23 Anita Gerstenmayer , Ansgar Jüngel

We consider ionic electrodiffusion in fluids, described by the Nernst-Planck-Navier-Stokes system in bounded domains, in two dimensions, with Dirichlet boundary conditions for the Navier-Stokes and Poisson equations, and blocking (vanishing…

Analysis of PDEs · Mathematics 2018-12-26 Peter Constantin , Mihaela Ignatova

We investigate the outflux of ions through the channels in a cell membrane. The channels undergo an open/close cycle according to a periodic schedule. Our study is based both on theoretical considerations relying on homogenization theory,…

Analysis of PDEs · Mathematics 2014-11-21 D. Andreucci , D. Bellaveglia , E. N. M. Cirillo

The transport properties of a conduction junction model characterized by two mutually coupled channels that strongly differ in their couplings to the leads are investigated. Models of this type describe molecular redox junctions (where a…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Alexander J. White , Agostino Migliore , Michael Galperin , Abraham Nitzan

The study of the electrical double layer lies at the heart of colloidal and interfacial science. The standard mean-field Poisson-Boltzmann (PB) theory is incapable of modeling many phenomena originated from ion correlation. An important…

Soft Condensed Matter · Physics 2022-09-26 Nikhil R. Agrawal , Rui Wang

The main goal of this work is to examine the qualitative effect of ion sizes via a steady-state boundary value problem. We study a one-dimensional version of a Poisson-Nernst-Planck system with a local hard-sphere potential model for ionic…

Mathematical Physics · Physics 2022-03-18 Weishi Liu , Hamid Mofidi

Transport current distribution in clean 2$H$-NbSe$_{2}$ crystals is studied by measuring the self-induced magnetic field across the sample. Below $T_c$ most of the current flows at the edges of the crystals due to strong surface barriers,…

Superconductivity · Physics 2009-10-31 Y. Paltiel , D. T. Fuchs , E. Zeldov , Y. N. Myasoedov , H. Shtrikman , E. Y. Andrei

A relationship is derived between differences in electric polarization between bands and the "shift vector" that controls part of a material's bulk photocurrent, then demonstrated in several models. Electric polarization has a quantized…

Mesoscale and Nanoscale Physics · Physics 2017-08-21 Benjamin M. Fregoso , Takahiro Morimoto , Joel E. Moore