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In this work, we explore the statistical physics of colloidal particles that interact with electrolytes via ion-specific interactions. Firstly we study particles interact weakly with electrolyte using linear response theory. We find that…

Soft Condensed Matter · Physics 2016-10-12 Mingnan Ding , Yihao Liang , Xiangjun Xing

I derive formulas for the electrostatic potential of a charge in or near a membrane modeled as one or more dielectric slabs lying between two semi-infinite dielectrics. One can use these formulas in Monte Carlo codes to compute the…

Quantitative Methods · Quantitative Biology 2015-05-27 Kevin Cahill

The present work proposes a discussion on the self-energy of charged particles in the framework of nonlinear electrodynamics. We seek magnet- ically stable solutions generated by purely electric charges whose electric and magnetic fields…

High Energy Physics - Theory · Physics 2009-07-24 S. O. Vellozo , José A. Helayël-Neto , A. W. Smith , L. P. G. De Assis

The effective interaction between two classical nonrelativistic electrons (positrons) in the presence of intense electromagnetic radiation (one and two waves) is theoretically studied. Small relativistic corrections are taking into account…

Plasma Physics · Physics 2020-01-08 S. S. Starodub , S. P. Roshchupkin , V. V. Dubov

This review explores the number of mean-field constructions for ions whose structure goes beyond the point-charge description, a representation used in the standard Poisson-Boltzmann equation. The exploration is motivated by a body of…

Soft Condensed Matter · Physics 2016-09-05 Derek Frydel

The classical Poisson-Boltzmann equation (CPBE), which is a mean field theory by averaging the ion fluctuation, has been widely used to study ion distributions in charged fluids. In this study, we derive a modified Poisson-Boltzmann…

Chemical Physics · Physics 2019-07-05 Li Wan , Ning-Hua Tong

We present a lattice-Boltzmann method that can simulate the coupled hydrodynamics and electrostatics equations of motion of a two-phase fluid as a means to model electrowetting phenomena. Our method has the advantage of modelling the…

Fluid Dynamics · Physics 2018-12-17 Élfego Ruiz-Gutiérrez , Rodrigo Ledesma-Aguilar

Assuming the charged particle to be a two-dimensional oscillator that scatters the classical background of zero-point field one can deduce the Coulomb force of the two interacting particles. The correct deduction of the force is conditioned…

General Physics · Physics 2021-06-09 Ion Simaciu , Zoltan Borsos , Viorel Drafta , Gheorghe Dumitrescu

The full-dimensional time-dependent Schrodinger equation for the electronic dynamics of single-electron systems in intense external fields is solved directly using a discrete method. Our approach combines the finite-difference and Lagrange…

Atomic Physics · Physics 2009-11-10 Liang-You Peng , J F McCann , Daniel Dundas , K T Taylor , I D Williams

In this paper we first derive a Coulomb Hamiltonian for electron--electron interaction in quantum dots in the Heisenberg picture. Then we use this Hamiltonian to enhance a Bloch model, which happens to be nonlinear in the density matrix.…

Mathematical Physics · Physics 2014-02-13 Brigitte Bidégaray-Fesquet , Kole Keita

We develop a computational method for modeling electrostatic interactions of arbitrarily-shaped, polarizable objects on colloidal length scales, including colloids/nanoparticles, polymers, and surfactants, dispersed in explicit ion…

Soft Condensed Matter · Physics 2024-06-18 Emily Krucker-Velasquez , James W. Swan , Zachary Sherman

Understanding the response of the surface of metallic solids to external electric field sources is crucial to characterize electrode-electrolyte interfaces. Continuum electrostatics offer a simple description of the induced charge density…

Chemical Physics · Physics 2021-12-14 Giovanni Pireddu , Laura Scalfi , Benjamin Rotenberg

In this paper, we present a theory of quantum electrodynamics with nonlocal interaction, a main characteristic of the theory is that a charged particle situated x^{mu} interacts with electromagnetic field situated y^{mu}, where…

High Energy Physics - Theory · Physics 2008-11-18 T. Mei

We present a general method based on nonlinear response theory to obtain effective interactions between ions in an electron gas which can also be applied to other systems where an adiabatic separation of time-scales is possible. Nonlinear…

Materials Science · Physics 2007-10-05 Simon Gravel , N. W. Ashcroft

At low reduced electric fields the electron energy distribution function in heavy noble gases can take two distinct shapes. This "bistability effect" - in which electron-electron (Coulomb) collisions play an essential role - is analyzed…

Plasma Physics · Physics 2015-06-16 Nikolay Dyatko , Zoltan Donko

We compute the electromagnetic field created by an ultrarelativistic charged particle in vacuum at distances comparable to the particle Compton wavelength. The wave function of the particle is governed by the Klein-Gordon equation, for a…

Nuclear Theory · Physics 2018-03-14 Balthazar Peroutka , Kirill Tuchin

Solvation free energy is an important quantity in Computational Chemistry with a variety of applications, especially in drug discovery and design. The accurate prediction of solvation free energies of small molecules in water is still a…

Biological Physics · Physics 2007-05-23 A. Hildebrandt , O. Kohlbacher , R. Blossey , H. -P. Lenhof

Earlier, using phenomenological approach, we showed that in some cases polarizable models of condensed phase systems can be reduced to nonpolarizable equivalent models with scaled charges. Examples of such systems include ionic liquids,…

Chemical Physics · Physics 2015-04-30 Igor Leontyev , Alexei Stuchebrukhov

The electrostatic potential of a highly charged disc (clay platelet) in an electrolyte is investigated in detail. The corresponding non-linear Poisson-Boltzmann (PB) equation is solved numerically, and we show that the far-field behaviour…

Soft Condensed Matter · Physics 2009-11-10 R. Agra , E. Trizac , L. Bocquet

We use a nonlinear Schroedinger-Poisson equation to describe two interacting electrons with opposite spins confined in a parabolic potential, a quantum dot. We propose an effective form of the Poisson equation taking into account the…

Mesoscale and Nanoscale Physics · Physics 2013-07-01 Gilbert Reinisch , Vidar Gudmundsson
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