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In this paper we investigate the bound state problem of nonrelativistic quantum particles on a conical surface. This kind of surface appears as a topological defect in ordinary semiconductors as well as in graphene sheets. Specifically, we…

Quantum Physics · Physics 2012-12-13 C. Filgueiras , E. O. Silva , F. M. Andrade

We present a general procedure to introduce electronic polarization into classical Molecular Dynamics (MD) force-fields using a Neural Network (NN) model. We apply this framework to the simulation of a solid-liquid interface where the…

Computational Physics · Physics 2021-03-31 Nicodemo Di Pasquale , Joshua D. Elliott , Panagiotis Hadjidoukas , Paola Carbone

We apply dynamical mean field theory to study a prototypical model that describes charge ordering in the presence of both electron-lattice interactions and intersite electrostatic repulsion between electrons. We calculate the optical and…

Strongly Correlated Electrons · Physics 2009-11-13 S. Ciuchi , S. Fratini

We present a theory that enables us to calculate the effective surface charge of colloidal particles and to efficiently obtain titration curves for different salt concentrations. The theory accounts for the shift of pH of solution due to…

Soft Condensed Matter · Physics 2022-11-01 Amin Bakhshandeh , Derek Frydel , Yan Levin

We study the spatial and orientational distribution of rodlike counterions (such as mobile nanorods) as well as the effective interaction mediated by them between two plane-parallel surfaces that carry fixed (quenched) heterogeneous charge…

Soft Condensed Matter · Physics 2020-10-01 Ali Naji , Kasra Hejazi , Elnaz Mahgerefteh , Rudolf Podgornik

A survey is presented of various aspects of the interaction of charged particles with solids. In the framework of many-body perturbation theory, we study the nonlinear interaction of charged particles with a free gas of interacting…

Materials Science · Physics 2015-06-24 J. M. Pitarke , I. G. Gurtubay , V. U. Nazarov

Based on a collective description of electrolytes composed of charge-regulated macro-ions and simple salt ions, we analyze their equilibrium charge state in the bulk and their behavior in the vicinity of an external electrified surface. The…

Soft Condensed Matter · Physics 2020-10-06 Yael Avni , Rudolf Podgornik , David Andelman

We have directly observed reversal of the polarity of charged surfaces in water upon the addition of tri- and quadrivalent ions using atomic force microscopy. The bulk concentration of multivalent ions at which charge inversion reversibly…

Statistical Mechanics · Physics 2009-11-10 K. Besteman , M. A. G. Zevenbergen , H. A. Heering , S. G. Lemay

The linear Boltzmann equation for elastic and/or inelastic scattering is applied to derive the distribution function of a spatially homogeneous system of charged particles spreading in a host medium of two-level atoms and subjected to…

Statistical Mechanics · Physics 2009-11-13 A. Rossani , A. M. Scarfone

The electric double layer (EDL) that forms at the interface between metals and ionic solutions is at the heart of various energy technologies. Recent experimental data have challenged our traditional understanding of the EDL charging…

Statistical Mechanics · Physics 2026-03-05 Nils Bruch , Michael Eikerling , Tobias Binninger

Although significant insights have been obtained into chemical and physical properties that govern to the performance of catalysts in traditional thermal processes, the work on electro-, photo-, or plasma-catalytic approaches has been…

Chemical Physics · Physics 2021-04-20 Kristof M. Bal , Stijn Huygh , Erik C. Neyts

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

We study the surface tension of ionic solutions at air/water and oil/water interfaces. By using field-theoretical methods and including a finite proximal surface-region with ionic-specific interactions. The free energy is expanded to…

Soft Condensed Matter · Physics 2015-03-31 Tomer Markovich , David Andelman , Rudolf Podgornik

Two overall neutral surfaces with positive and negative charged domains ("patches") have been shown in recent experiments to exhibit long-range attraction when immersed in an ionic solution. Motivated by the experiments, we calculate…

Soft Condensed Matter · Physics 2016-08-31 Ram M. Adar , David Andelman , Haim Diamant

We present a thermodynamic theory of plane coherent solid-solid interfaces in multicomponent systems subject to nonhydrostatic mechanical stresses. The interstitial and substitutional chemical components are treated separately using…

Materials Science · Physics 2013-04-02 T. Frolov , Y. Mishin

Ionic crystals play a central role in functional applications. Mesoscale descriptions of these crystals are based on the continuum polarization density field to represent the effective physics of charge distribution at the scale of the…

Mesoscale and Nanoscale Physics · Physics 2024-06-28 Shoham Sen , Yang Wang , Timothy Breitzman , Kaushik Dayal

Polymeric ionic liquids are emerging polyelectrolyte materials for modern electrochemical applications. In this paper, we propose a self-consistent field theory of the polymeric ionic liquid on a charged conductive electrode. Taking into…

Soft Condensed Matter · Physics 2022-02-02 Yury A. Budkov , Nikolai N. Kalikin , Andrei L. Kolesnikov

We extend the statistical field-theoretical framework of rough surface contact mechanics to characterize the interfacial gap between an elastic half-space and a randomly rough surface incorporating exponential repulsion. Building upon a…

Soft Condensed Matter · Physics 2026-03-10 Yunong Zhou , Hengxu Song , Zhichao Zhang , Yang Xu

The venerable theory of electrokinetic phenomena rests on the hypothesis of a dilute solution of point-like ions near a weakly charged surface, whose potential relative to the bulk is of order the thermal voltage ($kT/e \approx 25$ mV at…

Fluid Dynamics · Physics 2009-09-29 Martin Z. Bazant , Mustafa Sabri Kilic , Brian D. Storey , Armand Ajdari

For algorithms based on interacting particle systems that admit a mean-field description, convergence analysis is often more accessible at the mean-field level. In order to transfer convergence results obtained at the mean-field level to…

Probability · Mathematics 2025-11-03 Nicolai Jurek Gerber , Franca Hoffmann , Urbain Vaes