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The response of a model micro-electrochemical system to a time-dependent applied voltage is analyzed. The article begins with a fresh historical review including electrochemistry, colloidal science, and microfluidics. The model problem…

软凝聚态物质 · 物理学 2009-11-10 Martin Z. Bazant , Katsuyo Thornton , Armand Ajdari

We present results demonstrating the space charge-mediated transition between classical, diffusion-limited current and surface-conduction dominant over-limiting current in a shallow micro-nanochannel device. The extended space charge layer…

流体动力学 · 物理学 2015-06-30 Jarrod Schiffbauer , Uri Liel , Neta Leibowitz , Sinwook Park , Gilad Yossifon

We report here new electrical laws, derived from nonlinear electro-diffusion theory, about the effect of the local geometrical structure, such as curvature, on the electrical properties of a cell. We adopt the Poisson-Nernst-Planck (PNP)…

亚细胞过程 · 定量生物学 2017-11-22 Jerome Cartailler , Zeev Schuss , David Holcman

The phase offset between surface charge modulation and geometric undulations in a corrugated nanochannel provides a tunable mechanism for rectified, diode-like ion transport under purely pressure-driven conditions: reversing the applied…

流体动力学 · 物理学 2026-05-15 Thomas Petersen , Pouya Golchin , Jinwoo Im , Felipe P. J. de Barros

We determine the local charge dynamics of a $z-z$ electrolyte embedded in a varying-section channel. By means of an expansion based on the length scale separation between the axial and transverse direction of the channel, we derive closed…

软凝聚态物质 · 物理学 2023-11-16 P. Malgaretti , I. Pagonabarraga , J. Harting

We report a multiscale modeling study for charged cylindrical nanopores using three modeling levels that include (1) an all-atom explicit-water model studied with molecular dynamics (MD), and reduced models with implicit water containing…

Charge transport in disordered two-dimensional (2D) systems showcases a myriad of unique phenomenologies that highlight different aspects of the underlying quantum dynamics. Electrons in such systems undergo a crossover from ballistic…

介观与纳米尺度物理 · 物理学 2025-11-18 H. P. Veiga , S. M. João , J. M. Alendouro Pinho , J. P. Santos Pires , J. M. Viana Parente Lopes

We revisit the theory of ion transport in parallel-plate channels and also discuss how the wettability of a solid and the mobility of adsorbed surface charges impact the transport of ions. It is shown that depending on the ratio of the…

软凝聚态物质 · 物理学 2021-09-29 Olga I. Vinogradova , Elena F. Silkina , Evgeny S. Asmolov

We theoretically study electrostatic properties of electric double layer using a generalized Poisson-Boltzmann approach taking into account the orientational ordering of water dipoles and the excluded volume effect of water molecules as…

软凝聚态物质 · 物理学 2022-02-14 Jun-Sik Sin , Song-Jin Im , Kwang-Il Kim

In the present study, the ionic transport and selectivity of electrokinetically-driven flow of power-law fluids in a long pH-regulated rectangular nanochannel are analyzed. The electrical potential and momentum equations are numerically…

流体动力学 · 物理学 2021-11-09 Mohammad Ali Vakili , Morteza Sadeghi , Mohammad Hassan Saidi , Ali Moosavi

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.…

软凝聚态物质 · 物理学 2022-06-17 Filipe Henrique , Pawel J. Zuk , Ankur Gupta

A parallel plate capacitor containing an electrolytic solution is the simplest model of a supercapacitor, or electric double layer capacitor. Using both analytical and numerical techniques, we solve the Poisson-Nernst-Planck equations for…

软凝聚态物质 · 物理学 2025-10-02 Ivan Palaia , Adelchi J. Asta , Megh Dutta , Patrick B. Warren , Benjamin Rotenberg , Emmanuel Trizac

Understanding how electrolyte-filled porous electrodes respond to an applied potential is important to many electrochemical technologies. Here, we consider a model supercapacitor of two blocking cylindrical pores on either side of a…

软凝聚态物质 · 物理学 2022-04-05 Jie Yang , Mathijs Janssen , Cheng Lian , René van Roij

Classical and quantum dynamics are important limits for the understanding of the transport characteristics of interacting electrons in nanodevices. Here we apply an intermediate semiclassical approach to investigate the dynamics of two…

介观与纳米尺度物理 · 物理学 2015-06-15 Christoph M. Puetter , Satoru Konabe , Yasuhiro Hatsugai , Kenji Ohmori , Kenji Shiraishi

The non-equilibrium steady states of a semi-infinite quasi-one-dimensional univalent binary electrolyte solution, characterised by non-vanishing electric currents, are investigated by means of Poisson-Nernst-Planck (PNP) theory. Exact…

软凝聚态物质 · 物理学 2024-01-09 Markus Bier

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…

数学物理 · 物理学 2013-02-26 Markus Schmuck

Theoretically and experimentally, we study electroviscous phenomena resulting from charge-flow coupling in a nanoscale capillary. Our theoretical approach relies on Poisson-Boltzmann mean-field theory and on coupled linear relations for…

We consider laminar flow of incompressible electrolytes in long, straight channels driven by pressure and electro-osmosis. We use a Hilbert space eigenfunction expansion to address the general problem of an arbitrary cross section and…

流体动力学 · 物理学 2007-06-13 N. A. Mortensen , L. H. Olesen , F. Okkels , H. Bruus

We present a "fluid dynamics video" showing results from direct numerical simulations of electrokinetic transport in a binary electrolyte in two systems: (1) next to an ion-selective membrane and (2) around a metallic cylinder. The…

流体动力学 · 物理学 2013-10-15 Mathias B. Andersen , Clara L. Druzgalski , Scott M. Davidson , Ali Mani

We propose a general physics-based approach for an accurate analytical calculation of the channel charge density in field-effect transistors as functions of the external gate biases. This approach is based on a consistent consideration of…

介观与纳米尺度物理 · 物理学 2022-01-03 G. I. Zebrev , D. S. Malich
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