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Effective Poisson-Nernst-Planck (PNP) equations are derived for macroscopic ion transport in charged porous media under periodic fluid flow by an asymptotic multi-scale expansion with drift. The microscopic setting is a two-component…

Mathematical Physics · Physics 2014-07-16 Markus Schmuck , Martin Z. Bazant

Energetic ions lose their energy in tissue mainly by ionising its molecules. This produces secondary electrons which transport this energy radially away from the ion path. The ranges of most of these electrons do not exceed a few…

Biological Physics · Physics 2017-11-07 Pablo de Vera , Eugene Surdutovich , Nigel J. Mason , Andrey V. Solov'yov

The Poisson-Nernst-Planck (PNP) equations are fundamental for modeling ion transport in electrochemical systems, capturing the intricate interplay of concentration gradients, electric fields, and ion fluxes essential for applications such…

Chemical Physics · Physics 2025-01-13 Yitao He , Dan Zhao

Finite element modeling of charged species transport has enabled analysis, design, and optimization of a diverse array of electrochemical and electrokinetic devices. These systems are represented by the Poisson-Nernst-Planck equations…

Computational Engineering, Finance, and Science · Computer Science 2022-05-13 Sungu Kim , Makrand A. Khanwale , Robbyn K. Anand , Baskar Ganapathysubramanian

This paper studies mechanism of preconcentration of charged particles in a straight micro-channel embedded with permselective membranes, by numerically solving coupled transport equations of ions, charged particles and solvent fluid without…

Fluid Dynamics · Physics 2018-02-14 Zirui Li , Wei Liu , Yudan Zhu , Xiaohua Lu , Yuantong Gu , Jongyoon Han

We present a theoretical investigation of the voltage-driven metal insulator transition based on solving coupled Boltzmann and Hartree-Fock equations to determine the insulating gap and the electron distribution in a model system -- a one…

Strongly Correlated Electrons · Physics 2018-12-03 Giuliano Chiriacò , Andrew J. Millis

We discuss the rich vibrational dynamics of nanometer-scale semiconducting and insulating crystals as probed by localized electronic impurity states, with an emphasis on nanoparticles that are only weakly coupled to their environment. Two…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Michael R. Geller , W. M. Dennis , Vadim A. Markel , Kelly R. Patton , Daniel T. Simon , Ho-Soon Yang

We study the spontaneous charging and the crystallization of spherical micron-sized water-droplets dispersed in oil by numerically solving, within a Poisson-Boltzmann theory in the geometry of a spherical cell, for the density profiles of…

Soft Condensed Matter · Physics 2013-06-06 Joost de Graaf , Jos Zwanikken , Markus Bier , Arjen Baarsma , Yasha Oloumi , Mischa Spelt , Rene van Roij

We study the ionization dynamics in intense laser-droplet interaction using three-dimensional, relativistic particle-in-cell simulations. Of particular interest is the laser intensity and frequency regime for which initially transparent,…

Plasma Physics · Physics 2013-05-29 T. V. Liseykina , D. Bauer

Ion flow in charged nanopores is strongly influenced by the ratio of the Debye length to the pore radius. We investigate the asymptotic behaviour of solutions to the Poisson-Nernst-Planck (PNP) system in narrow pore like geometries and…

Analysis of PDEs · Mathematics 2019-04-10 B. Matejczyk , J. -F. Pietschmann , G. Richardson , M. -T. Wolfram

Ionic flow carries electrical signals for cells to communicate with each other. The permanent charge of an ion channel is a crucial protein structure for flow properties while boundary conditions play a role of the driving force. Their…

Numerical Analysis · Mathematics 2021-06-09 Weizhang Huang , Weishi Liu , Yufei Yu

Understanding transport processes in complex nanoscale systems, like ionic conductivities in nanofluidic devices or heat conduction in low dimensional solids, poses the problem of examining fluctuations of currents within nonequilibrium…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 David T. Limmer , Chloe Y. Gao , Anthony R. Poggioli

Droplet-based interphase synthesis provides means to produce nanoparticles with low polydispersity by controlling mass transport through droplet dynamics. An experimentally validated model, based on coupled computational fluid dynamics with…

Fluid Dynamics · Physics 2023-04-17 Vivekananda Bal , Rajdip Bandyopadhyaya

Gradients of voltage, pressure, temperature, and salinity can transport objects in micro- and nanofluidic systems by well known mechanisms. Here we report the discovery of a transport effect driven by viscosity gradients, which cause an…

Fluid Dynamics · Physics 2018-11-20 Benjamin Wiener , Derek Stein

We investigate the effects of the relative dielectric coefficient on ionic flows in open ion channels, using mathematical analysis of reasonably general Poisson-Nernst-Planck type models that can include the finite sizes of ions. The value…

Biomolecules · Quantitative Biology 2017-10-03 Bob Eisenberg , Weishi Liu

The ability to induce regions of high and low ionic concentration adjacent to a permeselective membrane or nanochannel subject to an externally applied electric field (a phenomenon termed concentration-polarization) has been used for a…

Fluid Dynamics · Physics 2018-03-12 Sinwook Park , Gilad Yossifon

Ion-conducting glasses and polymer systems show several characteristic peculiarities in their composition-dependent diffusion properties and in their dynamic response. First we give a brief review of the current understanding of the ion…

Condensed Matter · Physics 2016-08-31 O. Durr , P. Pendzig , W. Dieterich , A. Nitzan

Voltage and charge distributions in cellular microdomains regulate communications, excitability, and signal transduction. We report here new electrical laws in a cell, which follow from a nonlinear electro-diffusion model. These newly…

Biological Physics · Physics 2017-01-03 Jerome Cartailler , Zeev Schuss , David Holcman

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

Modeling of a dense spray regime using an Euler-Lagrange approach is challenging because of local high volume loading. A cluster of droplets, that are assumed subgrid, can lead to locally low void fractions for the fluid phase. Under these…

Fluid Dynamics · Physics 2019-10-03 Pedram Pakseresht , Sourabh V. Apte