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We evaluate the electrostatic potential and the electrostatic field created by a point charge and an arbitrarly oriented electrical dipole placed near a grounded perfectly conducting sphere. Induced surface charge distributions as well as…

Physics Education · Physics 2013-04-18 F C Santos , A C Tort

The problem of the equilibrium state of the charged many-particle system above dielectric surface is formulated.We consider the case of the presence of the external attractive pressing field and the case of its absence. The equilibrium…

Statistical Mechanics · Physics 2009-05-21 Dmytro M. Lytvynenko , Yuriy V. Slyusarenko

We study the effects of electrostatic gating on the lateral distribution of charge carriers in two dimensional devices, in a non-linear dielectric environment. We compute the charge distribution using the Thomas-Fermi approximation to model…

Mesoscale and Nanoscale Physics · Physics 2020-03-05 Eylon Persky , Hyeok Yoon , Yanwu Xie , Harold Y. Hwang , Jonathan Ruhman , Beena Kalisky

In article the following tasks on computer modeling of electric fields are analyzed: 1) calculation of distribution of potential for the field created by two parallel plates and charged bodies in the non-uniform environment; 2) calculation…

Other Computer Science · Computer Science 2013-12-16 Robert V Mayer

We develop an efficient Ewald method of molecular dynamics simulation for calculating the electrostatic interactions among charged and polar particles between parallel metallic plates, where we may apply an electric field with an arbitrary…

Soft Condensed Matter · Physics 2013-10-01 Kyohei Takae , Akira Onuki

The inverse problem for electromagnetic field produced by arbitrary altered charge distribution in dipole approximation is solved. The charge distribution is represented by its dipole moment. It is assumed that the spectral properties of…

Classical Physics · Physics 2015-05-06 V. Epp , J. G. Janz

The problem concerning the form of the electrostatic field potential of the infinite charged metallic plane contacting with the metallic sphere is solved. The distributions of the surface charge densities both on the plane and the sphere…

General Physics · Physics 2012-02-08 P. M. Mednis

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

The Inverse problem for an electromagnetic field produced by a dipole is solved. It is assumed that the field of an arbitrary changing dipole is known. Obtained formulae allow calculation of the position and dynamics of the dipole which…

Classical Physics · Physics 2015-09-10 V. Epp , J. Janz

We study the problem of finding a point of maximal electrostatic potential inside an arbitrary triangle with homogeneous surface charge distribution. In this article we derive several synthetic and analytic relations for its location in the…

Mathematical Physics · Physics 2020-07-30 Hrvoje Abraham , Vjekoslav Kovač

The space-charge distribution of the electromagnetic field excited by point charge moving with a constant velocity on the axis of the circular disc-loaded waveguide was analyzed. The energy losses per structure period numerically were…

Accelerator Physics · Physics 2013-03-12 V. A. Berezhnoy , V. N. Kurdyumov

The specifics of charge screening and electrostatic potential spatial distribution in multilayered graphene films placed in between charged substrates is theoretically analyzed. It is shown that by varying the areal charge densities on the…

Mesoscale and Nanoscale Physics · Physics 2014-03-21 Natalya A. Zimbovskaya , Eugene J. Mele

In this work, a comparative study of the susceptibility chart in a partially dielectric-loaded rectangular waveguide and in its equivalent partially dielectric-loaded parallel-plate waveguide with the same height is performed. This study…

Accelerator Physics · Physics 2020-05-22 A. Berenguer , A. Coves , E. Bronchalo

How will the electrostatic interaction between two point charges change if they are shielded from the other by a dielectrical slab? While the physical setting of this electromagnetic problem is relatively simple, it is easy to be wronged…

Classical Physics · Physics 2023-03-20 Long T. Nguyen , Kim Tuan Do , Duy V. Nguyen , Trung Phan

The general form of the electrostatic potential around an arbitrarily charged colloid at an interface between a dielectric and a screening phase (such as air and water, respectively) is analyzed in terms of a multipole expansion. The…

Soft Condensed Matter · Physics 2008-07-11 A. Dominguez , D. Frydel , M. Oettel

Two-dimensional (2D) electronic materials are of significant technological interest due to their exceptional properties and broad applicability in engineering. The transition from nanoscale physics, that dictates their stable…

Analysis of PDEs · Mathematics 2025-09-23 Shoham Sen , Yang Wang , Timothy Breitzman , Kaushik Dayal

We present the first application of phase field modeling to electrochemistry. A free energy functional that includes the electrostatic effect of charged particles leads to rich interactions between concentration, electrostatic potential,…

Materials Science · Physics 2007-05-23 J. E. Guyer , W. J. Boettinger , J. A. Warren , G. B. McFadden

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 mechanisms of electrostatic interactions between two charged dielectric spheres inside a polarizable medium have been investigated, in terms of hypothetical effective dipoles that depict how the positive and negative charge in each…

Soft Condensed Matter · Physics 2025-02-06 Yanyu Duan , Zecheng Gan , Ho-Kei Chan

The standard Maxwell formulation of the problem of polarized dielectrics suffers from a number of difficulties, both conceptual and practical. These difficulties are particularly significant in the case of liquid interfaces, where the…

Soft Condensed Matter · Physics 2015-06-18 Dmitry V. Matyushov
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