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Possible mechanisms of overlimiting current in unsupported electrolytes, exceeding diffusion limitation, have been intensely studied for their fundamental significance and applications to desalination, separations, sensing, and energy…

Fluid Dynamics · Physics 2015-06-22 Sungmin Nam , Inhee Cho , Joonseong Heo , Geunbae Lim , Martin Z. Bazant , Gunyong Sung , Sung Jae Kim

We study the linear stability of transient electrodeposition in a charged random porous medium, whose pore surface charges can be of any sign, flanked by a pair of planar metal electrodes. Discretization of the linear stability problem…

Chemical Physics · Physics 2019-07-09 Edwin Khoo , Hongbo Zhao , Martin Z. Bazant

A Poisson-Boltzmann approach is used to determine the double-layer integral and differential capacitances in a finite-length situation for an electrolytic cell. By means of simple analytical calculations, it is shown how these quantities…

Statistical Mechanics · Physics 2012-04-03 Roberta Rarumy Ribeiro de Almeida , Luiz Roberto Evangelista , Giovanni Barbero

A model for ionic and electronic grain boundary transport through thin films, scales or membranes with columnar grain structure is introduced. The grain structure is idealized as a lattice of identical hexagonal cells - a honeycomb pattern.…

Materials Science · Physics 2017-05-05 M. P. Tautschnig , N. M. Harrison , M. W. Finnis

In this work we theoretically study the differential capacitance of an aqueous electrolyte in contact with a planar electrode, using classical Density Functional Theory, and show how this measurable quantity can be used as a probe to better…

Soft Condensed Matter · Physics 2021-09-16 Peter Cats , René van Roij

Linear sweep and cyclic voltammetry techniques are important tools for electrochemists and have a variety of applications in engineering. Voltammetry has classically been treated with the Randles-Sevcik equation, which assumes an…

Chemical Physics · Physics 2017-03-15 David Yan , Martin Z. Bazant , P. M. Biesheuvel , Mary C. Pugh , Francis P. Dawson

In this thesis we study the lateral electrostatic interaction between a pair of non-identical, moderately charged colloidal particles trapped at an electrolyte interface in the limit of short inter-particle separations. Using a simplified…

Soft Condensed Matter · Physics 2017-10-17 Timo Schmetzer

The rate of linear collisionless damping (Landau damping) in a classical electron gas confined to a heated ionized thin film is calculated. The general expression for the imaginary part of the dielectric tensor in terms of the parameters of…

Optics · Physics 2009-11-10 D. F. Zaretsky , Ph. A. Korneev , S. V. Popruzhenko , W. Becker

We simulate numerically the classical charge dynamics in a microscopic, planar, vacuum diode with a finite emitter area and a finite number of electrons in the gap. We assume electrons are emitted under space-charge limited conditions with…

Accelerator Physics · Physics 2020-12-15 Johannes Bergur Gunnarsson , Kristinn Torfason , Andrei Manolescu , Agust Valfells

We study thin films that host coexisting collinear $d$-wave altermagnetic and superconducting orders in the presence of an external magnetic field that fully penetrates the films. We use the Ginzburg-Landau functional to analyze the…

Superconductivity · Physics 2026-03-09 A. A. Mazanik , Rodrigo de las Heras , F. S. Bergeret

We consider the Cahn-Hilliard equation with Neumann boundary conditions in a three-dimensional curved thin domain around a given closed surface. When the thickness of the curved thin domain tends to zero, we show that the weighted average…

Analysis of PDEs · Mathematics 2025-12-16 Tatsu-Hiko Miura

In this Letter we research the space charge limiting current value at which the oscillating virtual cathode is formed in the relativistic electron beam as a function of the external magnetic field guiding the beam electrons. It is shown…

Plasma Physics · Physics 2009-11-13 Alexander E. Hramov , Alexey Koronovskii , Mikhail Morozov , Alexander Mushtakov

We develop an exact electrostatic formulation for a finite-length conducting cylindrical shell of finite thickness separating two dielectric media with arbitrary permittivity contrast. The boundary-value problem is reduced to a coupled…

Classical Physics · Physics 2026-01-06 J. Ricardo de Sousa

We consider a continuous system of classical particles confined in a finite region $\Lambda$ of $\mathbb{R}^d$ interacting through a superstable and tempered pair potential in presence of non free boundary conditions. We prove that the…

Mathematical Physics · Physics 2020-09-18 Aldo Procacci , Sergio A. Yuhjtman

While the electrodynamic treatment of a superconducting thin film by Yeh et al. [Phys. Rev. B 48, 9861 (1993)] ostensibly has application for the "thin-film limit," their work is shown to employ bulk-like instead of thin-film…

Superconductivity · Physics 2007-05-23 Pieder Beeli

Understanding the stability mechanism of surface micro/nanobubbles adhered to gas-evolving electrodes is essential for improving the efficiency of water electrolysis, which is known to be hindered by the bubble coverage on electrodes. Using…

Fluid Dynamics · Physics 2024-04-16 Yixin Zhang , Xiaojue Zhu , Jeffery A. Wood , Detlef Lohse

Plasma-boundaries floating in an ionized gas are usually negatively charged. They accumulate electrons more efficiently than ions which leads to the formation of a quasi-stationary electron film at the boundaries. We propose, in a…

Plasma Physics · Physics 2009-08-24 Franz X. Bronold , H. Deutsch , H. Fehske

We consider the steady-state analysis of a pinned elastic plate lying on the free surface of a thin viscous fluid, forced by the motion of a bottom substrate moving at constant speed. A mathematical model incorporating elasticity,…

Fluid Dynamics · Physics 2025-05-20 Philippe H. Trinh , Stephen K. Wilson , Howard A. Stone

Sub-coercive field non-linearities in $0.5(\text{Ba}_{0.7}\text{Ca}_{0.3}\text{TiO}_{3})-0.5(\text{BaZr}_{0.2}\text{Ti}_{0.8}\text{O}_{3})$ (BCTZ 50/50) thin film elaborated using pulsed laser deposition are studied using permittivity and…

The confinement of a superconductor in a thin film changes its Fermi-level density of states and is expected to change its critical temperature $T_c$. Previous calculations have reported large discontinuities of $T_c$ when the chemical…

Superconductivity · Physics 2016-08-26 D. Valentinis , D. van der Marel , C. Berthod
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