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The use of thin liquid films has expanded beyond lubrication and coatings, and into applications in actuators and adaptive optical elements. In contrast to their predecessors, whose dynamics can be typically captured by modelling infinite…

Fluid Dynamics · Physics 2023-07-06 Israel Gabay , Vesna Bacheva , Dotan Ilssar , Moran Bercovici , Antonio Ramos , Amir Gat

The space charge limit (SCL) of emission from photocathodes sets an upper limit on the performance of both high- and low-field electron guns. Generally, one is forced to strike a compromise between the space charge limit and the cathode's…

Accelerator Physics · Physics 2019-08-28 David H. Dowell

We develop a quantum theory of electron confinement in metal nanofilms. The theory is used to compute the nonlinear response of the film to a static or low-frequency external electric field and to investigate the role of boundary conditions…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 George Y. Panasyuk , John C. Schotland , Vadim A. Markel

It is widely assumed that thermionic current flow through a plasma is limited by a "space-charge limited" (SCL) cathode sheath that consumes the hot cathode's negative bias and accelerates upstream ions into the cathode. Here, we formulate…

Plasma Physics · Physics 2018-04-25 Michael D. Campanell

We consider the Poisson-Boltzmann equation in a periodic cell, representative of a porous medium. It is a model for the electrostatic distribution of $N$ chemical species diluted in a liquid at rest, occupying the pore space with charged…

Analysis of PDEs · Mathematics 2015-04-24 Gregoire Allaire , Jean-Francois Dufreche , Andro Mikelic , Andrey Piatnitski

Battery electrode surfaces are generally coated with electronically insulating solid films of thickness 1-50 nm. Both electrons and Li+ can move at the electrode-surface film interface in response to the voltage, which adds complexity to…

Materials Science · Physics 2015-07-10 Kevin Leung , Andrew Leenheer

An increasing current through a superconductor can result in a discontinuous increase in the differential resistance at the critical current. This critical current is typically associated either with breaking of Cooper-pairs (de-pairing) or…

Superconductivity · Physics 2020-07-01 Adam Doron , Tal Levinson , Franzisca Gorniaczyk , Idan Tamir , Dan Shahar

The current-induced destruction of superconductivity is discussed in wide superconducting thin film strips, whose width is greater than the magnetic field penetration depth, in weak magnetic fields. Particular attention is paid to the role…

Superconductivity · Physics 2022-09-29 A. G. Sivakov , O. G. Turutanov , A. E. Kolinko , A. S. Pokhila

We experimentally investigate the magnetic field $B$ dependence of the critical current I_c and the transition temperature T_c, i.e. the I_c(B)-T_c(B) phase boundary, of superconducting niobium thin films patterned with periodic and…

Superconductivity · Physics 2012-06-26 D. Bothner , R. Seidl , V. R. Misko , R. Kleiner , D. Koelle , M. Kemmler

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…

Fluid Dynamics · Physics 2013-10-15 Mathias B. Andersen , Clara L. Druzgalski , Scott M. Davidson , Ali Mani

We study the potential and the charge distribution across the interface of a plasma and a dielectric wall. For this purpose, the charge bound to the wall is modelled as a quasi-stationary electron surface layer which satisfies Poisson's…

Plasma Physics · Physics 2015-05-30 Rafael L. Heinisch , Franz X. Bronold , Holger Fehske

The Poisson Nernst-Planck equations for charge concentration and electric potential in a ball is a model of electro-diffusion of ions in the head of a neuronal dendritic spine. We study the relaxation and the steady state when an initial…

Classical Physics · Physics 2015-05-12 Z. Schuss J. Cartailler , D. Holcman

We present a theory which allows us to calculate the interaction potential between charge-regulated metal nanoparticles inside an acid-electrolyte solution. The approach is based on the recently introduced model of charge regulation which…

Soft Condensed Matter · Physics 2020-12-11 Amin Bakhshandeh , Alexandre P. dos Santos , Yan Levin

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

The Poisson-Nernst-Planck (PNP) diffusional model for the immittance or impedance spectroscopy response of an electrolytic cell in a finite-length situation is extended to a general framework. In this new formalism, the bulk behavior of the…

Ferroelectric hafnium oxide (${HfO_2}$) exhibits a thickness-dependent coercive field $(E_c)$ behavior that deviates from the trends observed in perovskites and the predictions of Janovec-Kay-Dunn (JKD) theory. Experiments reveal that, in…

Materials Science · Physics 2025-06-09 Revanth Koduru , Sumeet Kumar Gupta

We calculate the critical temperature $T_c$ and the superconducting energy gaps $\Delta_n$ of a thin film superconductor system, where $\Delta_n$ is the superconducting energy gap of the $n$-th subband. Since the quantization of both the…

Superconductivity · Physics 2009-10-31 E. H. Hwang , S. Das Sarma , M. A. Stroscio

This work is concerned with the stationary Poisson--Nernst--Planck equation with a large parameter which describes a huge number of ions occupying an electrolytic region. Firstly, we focus on the model with a single specie of positive…

Analysis of PDEs · Mathematics 2023-11-20 Jhih-Hong Lyu , Chiun-Chang Lee , Tai-Chia Lin

We measure the remnant polarization of ferroelectric domains in BiFeO3 films down to 3.6 nm using low energy electron and photoelectron emission microscopy. The measured polarization decays strongly below a critical thickness of 5-7 nm…

Materials Science · Physics 2013-01-04 J. E. Rault , W. Ren , S. Prosandeev , S. Lisenkov , D. Sando , S. Fusil , M. Bibes , A. Barthelemy , L. Bellaiche , N. Barrett

Supercurrent field-effect transistors made from thin metallic films are a promising option for next-generation high-performance computation platforms. Despite extensive research, there is still no complete quantitative microscopic…

Superconductivity · Physics 2025-05-29 Alessio Zaccone , Giovanni A. Ummarino , Alessandro Braggio , Francesco Giazotto