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We present a numerical study of classical particles diffusing on a solid surface. The particles' motion is modeled by an underdamped Langevin equation with ordinary thermal noise. The particle-surface interaction is described by a periodic…

Statistical Mechanics · Physics 2009-11-10 J. M. Sancho , A. M. Lacasta , K. Lindenberg , I. M. Sokolov , A. H. Romero

A novel energy minimization formulation of electrostatics that allows computation of the electrostatic energy and forces to any desired accuracy in a system with arbitrary dielectric properties is presented. An integral equation for the…

Classical Physics · Physics 2009-11-13 O. I. Obolensky , T. P. Doerr , R. Ray , Yi-Kuo Yu

We consider a mixture of one neutral and two oppositely charged types of molecules confined to a surface. Using analytical techniques and molecular dynamics simulations, we construct the phase diagram of the system and exhibit the…

Soft Condensed Matter · Physics 2009-11-11 Sharon M. Loverde , Francisco Solis , Monica Olvera de la Cruz

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

In this chapter we introduce a microscopic modelling of the surplus electrons on the plasma wall which complements the classical description of the plasma sheath. First we introduce a model for the electron surface layer to study the…

Plasma Physics · Physics 2013-03-29 Rafael L. Heinisch , Franz X. Bronold , Holger Fehske

The boundary-value problem for the perturbation of an electric potential by a homogeneous anisotropic dielectric sphere in vacuum was formulated. The total potential in the exterior region was expanded in series of radial polynomials and…

Classical Physics · Physics 2022-10-18 Akhlesh Lakhtakia , Nikolaos L. Tsitsas , Hamad M. Alkhoori

We study the electric potential and field produced by disordered distributions of charge to see why clumps of charge do not produce large potentials or fields. The question is answered by evaluating the probability distribution of the…

Statistical Mechanics · Physics 2009-11-11 A. Singer , Z. Schuss , R. S. Eisenberg

This paper considers the probability density and current distributions generated by a point-like, isotropic source of monoenergetic charges embedded into a uniform magnetic field environment. Electron sources of this kind have been realized…

Quantum Physics · Physics 2012-09-04 Christian Bracher , Arnulfo Gonzalez

The charging of dust grains in astrophysical environments has been investigated with the assumption these grains are homogeneous spheres. However, there is evidence which suggests many grains in astrophysical environments are…

Earth and Planetary Astrophysics · Physics 2013-04-26 Qianyu Ma , Victor Land , Lorin Matthews , Truell Hyde

This paper is devoted to the analysis of the divergence of the electron self-energy in classical electrodynamics. To do so, we appeal to the theory of distributions and a method for obtaining corresponding extensions. At first sight,…

General Physics · Physics 2023-08-16 H. R. de Assis , B. F. Rizzuti

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 theory of the effect of external fluctuation force on the stability and spatial distribution of mutually interacting and slowly evaporating charged drops, levitated in an electrodynamic balance, is presented using classical…

Fluid Dynamics · Physics 2020-07-07 Mohit Singh , Y. S. Mayya , Rochish Thaokar

Screening is one of the most important concepts in the study of charged systems. Near a dielectric interface, the ion distribution in a salt solution can be highly nonuniform. Here, we develop a theory that self-consistently treats the…

Soft Condensed Matter · Physics 2016-05-04 Rui Wang , Zhen-Gang Wang

We present a first-principles derivation of spatial atomic-sublevel decoherence near dielectric and metallic surfaces. The theory is based on the electromagnetic-field quantization in absorbing dielectric media. We derive an expression for…

Quantum Physics · Physics 2007-05-23 R. Fermani , S. Scheel , P. L. Knight

Many theoretical studies were devoted in the past to ion-specific effects, trying to interpret a large body of experimental evidence, such as surface tension at air/water interfaces and force measurements between charged objects. Although…

Soft Condensed Matter · Physics 2014-04-22 Dan Ben-Yaakov , David Andelman , Rudi Podgornik

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

The thermodynamic equilibrium conditions for compact structures composed by mass varying particles are discussed assuming that the so-called dynamical mass behaves like an additional extensive thermodynamic degree of freedom. It then…

General Relativity and Quantum Cosmology · Physics 2011-06-07 Alex E. Bernardini , O. Bertolami

The electrostatic field energy due to two fixed pointlike charges shows some peculiar features concerning the distribution in space of the field energy density of the system. Here we discuss the evaluation of the field energy and the…

Popular Physics · Physics 2013-06-13 A C Tort

The adsorption of highly \textit{oppositely} charged flexible polyelectrolytes (PEs) on a charged planar substrate is investigated by means of Monte Carlo (MC) simulations. We study in detail the equilibrium structure of the first few PE…

Soft Condensed Matter · Physics 2007-05-23 Rene Messina

We consider counterions in the presence of a single planar surface with a spatially inhomogeneous charge distribution using Monte-Carlo simulations and strong-coupling theory. For high surface charges, multivalent counterions, or pronounced…

Soft Condensed Matter · Physics 2009-11-07 Andre G Moreira , Roland R Netz