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An electromagnetic response of a single graphene layer to a uniform, arbitrarily strong electric field $E(t)$ is calculated by solving the kinetic Boltzmann equation within the relaxation-time approximation. The theory is valid at low…

Mesoscale and Nanoscale Physics · Physics 2018-04-26 S. A. Mikhailov

Mean-field theory and scaling arguments are presented to model polyelectrolyte adsorption from semi-dilute solutions onto charged surfaces. Using numerical solutions of the mean-field equations, we show that adsorption exists only for…

Soft Condensed Matter · Physics 2009-11-10 A. Shafir , D. Andelman , R. R. Netz

A thin film on a horizontal solid substrate and coated with a soluble surfactant is considered. The governing degenerate parabolic equations for the film height and the surfactant concentrations on the surface and in the bulk are derived…

Analysis of PDEs · Mathematics 2010-02-10 Joachim Escher , Matthieu Hillairet , Philippe Laurençot , Christoph Walker

Effect of static charges on charge carrier transport in disordered organic materials is considered. Long range nature of Coulomb interaction requires to take into consideration a finite thickness of the transport layer. Presence of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sergey Novikov

We study, using Density Functional theory and Monte Carlo simulations, aqueous electrolyte solutions between charged infinite planar surfaces, in a contact with a bulk salt reservoir. In agreement with recent experimental observations [Z.…

Soft Condensed Matter · Physics 2016-09-21 Thiago Colla , Matheus Girotto , Alexandre P. dos Santos , Yan Levin

Electrochemical phenomena in ferroelectrics are of particular interest for catalysis and sensing applications, with recent studies highlighting the combined role of the ferroelectric polarisation, applied surface voltage and overall…

The contact value of the charge profile for nonsymmetrical electrolytes is presented as the sum of three contributions. One of them is the normal component of the Maxwell electrostatic stress tensor. The second one is the surface…

Statistical Mechanics · Physics 2009-11-13 M. Holovko , D. di Caprio

The behavior of electrolyte solutions close to a charged surface is studied theoretically. A modified Poisson-Boltzmann equation which takes into account the volume excluded by the ions in addition to the electrostatic interactions is…

Soft Condensed Matter · Physics 2007-05-23 I. Borukhov , D. Andelman , H. Orland

We study the interaction between heterogeneously charged surfaces in an electrolyte solution by employing classical Density Functional Theory (cDFT) and Monte Carlo simulations. We observe a consistent behavior between cDFT and Monte Carlo…

Soft Condensed Matter · Physics 2023-07-11 Shiqi Zhou , Amin Bakhshandeh

The charge state of dielectric surfaces in aqueous environments is of fundamental and technological importance. Here, we study the influence of dissolved molecular CO$_2$ on the charging of three, chemically different surfaces (SiO$_2$,…

In this paper we study the dynamics of a layer of incompressible viscous fluid bounded below by a rigid boundary and above by a free boundary, in the presence of a uniform gravitational field. We assume that a mass of surfactant is present…

Analysis of PDEs · Mathematics 2017-02-09 Ian Tice , Lei Wu

We use existing 3D Discrete Element simulations of simple shear flows of spheres to evaluate the radial distribution function at contact that enables kinetic theory to correctly predict the pressure and the shear stress, for different…

Soft Condensed Matter · Physics 2014-06-03 Dalila Vescovi , Diego Berzi , Patrick Richard , Nicolas Brodu

We recently questioned the treatment of a dust particle as a perfect absorber for electrons and ions and proposed a surface model for the charge of a dust particle in a quiescent plasma which combines the microscopic physics at the grain…

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

The fluctuations of the charge on an electrode contain information on the microscopic correlations within the adjacent fluid and their effect on the electronic properties of the interface. We investigate these fluctuations using molecular…

We examine electrolyte systems confined between two parallel, grounded metal plates using a field-theoretic approach truncated at one-loop order. For symmetric electrolytes, the density distribution of the ions is non-uniform, with a…

Soft Condensed Matter · Physics 2007-05-23 T. Brandes , L. Lue

The phenomenon of electrowetting, i.e., the dependence of the macroscopic contact angle of a fluid on the electrostatic potential of the substrate, is analyzed in terms of the density functional theory of wetting. It is shown that…

Soft Condensed Matter · Physics 2014-05-07 Markus Bier , Ingrid Ibagon

We consider an electron-phonon system in two and three dimensions on square, hexagonal and cubic lattices. The model is a modification of the standard Holstein model where the optical branch is appropriately curved in order to have a…

Statistical Mechanics · Physics 2009-10-31 N. Macris , C. -A. Piguet

Spatial interaction effects between charge carriers in ionic systems play a sizable role beyond a classical Maxwellian description. We develop a nonlocal, two-fluid, hydrodynamic theory of charges and study ionic plasmon effects, i. e.…

Optics · Physics 2020-06-30 Christin David

We develop a double mean-field theory for charged macrogels immersed in electrolyte solutions in the spirit of the cell model approach. We first demonstrate that the equilibrium sampling of a single explicit coarse-grained charged polymer…

Soft Condensed Matter · Physics 2020-04-22 Jonas Landsgesell , David Sean , Patrick Kreissl , Kai Szuttor , Christian Holm

A simple field theory approach is developed to model the properties of charged, dielectric bodies and their associated counterions. This predictive theory is able to accurately describe the properties of systems (as compared to computer…

Soft Condensed Matter · Physics 2009-01-20 Marius M. Hatlo , Leo Lue
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