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The distribution of net electric charge in graphene is investigated, using both a constitutive atomic charge-dipole interaction model and an approximate analytical solution to Laplace's equation. We demonstrate a strong size dependence of…

Mesoscale and Nanoscale Physics · Physics 2009-09-21 Zhao Wang , Robert W. Scharstein

We calculate the electrostatic potential and electric field of a uniformly charged disk everywhere in space. This electrostatic problem was solved long ago, and its gravitational analogue - even earlier. However, it seems that physics…

Classical Physics · Physics 2020-09-28 V. Bochko , Z. K. Silagadze

The resolution of the Green's function for obtaining the electrostatic potential generated by the charges located in the dielectric layer of a rectangular waveguide requires efficient integration techniques. Due to the characteristics and…

Computational Physics · Physics 2020-05-18 A. Berenguer , A. Coves , E. Bronchalo , F. Mesa , B. Gimeno

In this work, we present an explanation of the electric charge quantization based on a semi-classical model of electrostatic fields. We claim that in electrostatics, an electric charge must be equal to a rational multiple of the elementary…

General Physics · Physics 2023-07-07 Kolahal Bhattacharya

We develop a systematic approach to calculating the electrostatic force between point charges in an arbitrary geometry with arbitrary boundary conditions. When the boundary is present, the simple expression for the force acting on a charge…

Classical Physics · Physics 2007-05-23 Alexander Silbergleit , Ilya Nemenman , Ilya Mandel

We present a general expression for the probability distribution function of electric field in a plasma cloud formed by the impact of a laser pulse on a gas or a solid body. We also present the results of numerical calculation of this…

Plasma Physics · Physics 2022-04-21 S. Ya. Bronin , E. V. Vikhrov , B. B. Zelener , B. V. Zelener

A unified electrodynamic approach to the guided-wave excitation theory is generalized to the waveguiding structures containing a hypothetical space-dispersive medium with drifting charge carriers possessing simultaneously elastic,…

Classical Physics · Physics 2009-10-31 A. A. Barybin

A solid ionic conductor with cation conductivity in the interelectrode region is studied. Due to their large size, the anions are considered fixed and form a homogeneous neutralizing electric background. The model can be used to describe…

Statistical Mechanics · Physics 2022-07-04 I. Kravtsiv , G. Bokun , M. Holovko , N. Prokopchuk , D. di Caprio

We show that interlayer charge transfer in 2D materials can be driven by an in-plane electric field, giving rise to electrical multipole generation in linear and second order of in-plane field. The linear and nonlinear effects have quantum…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 Huiyuan Zheng , Dawei Zhai , Cong Xiao , Wang Yao

The discrete and charge-separated nature of matter - electrons and nuclei - results in local electrostatic fields that are ubiquitous in nanoscale structures and are determined by their shape, material, and environment. Such fields are…

A multiple-image method is developed to accurately calculate the electrostatic interaction between neutral dielectric particles and a uniformly charged dielectric substrate. The difference in dielectric constants between the particle and…

Soft Condensed Matter · Physics 2024-12-18 Xin Li , Changhao Li , Xiangui Chen , Zaixin Wang , Sun Min , Decai Huang

We present a pedagogic derivation of the electromagnetic field established in a dielectric material by an impinging external field. We consider the problem from the point of view of the physical mechanism involved at the microscopic level.…

Optics · Physics 2015-02-13 Ledo Stefanini , Giancarlo Reali

We study the problem of charge regulation and its effects on electrostatic interactions between dissociable charge groups immersed in a univalent electrolyte, within a family of one dimensional exactly solvable models. We consider the case…

Soft Condensed Matter · Physics 2015-06-23 A. C. Maggs , R. Podgornik

Classical theory of the electric double layer is based on the fundamental assumption of a dilute solution of point ions. There are a number of situations such as high applied voltages, high concentration of electrolytes, systems with…

Fluid Dynamics · Physics 2015-06-11 Brian D. Storey , Martin Z. Bazant

Distribution of charge induced by a gate voltage in a graphene strip is investigated. We calculate analytically the charge profile and demonstrate a strong(macroscopic) charge accumulation along the boundaries of a micrometers-wide strip.…

Mesoscale and Nanoscale Physics · Physics 2008-06-04 P. G. Silvestrov , K. B. Efetov

Studies on nanoscale materials merit careful development of an electrostatics model concerning discrete point charges within dielectrics. The discrete charge dielectric model treats three unique interaction types derived from an external…

Classical Physics · Physics 2012-03-20 Tim LaFave

We present two methods for solving the electrostatics of point charges and multipoles on the surface of a sphere, \textit{i.e.} in the space $\mathcal{S}_{2}$, with applications to numerical simulations of two-dimensional polar fluids. In…

Soft Condensed Matter · Physics 2015-04-23 Jean-Michel Caillol

In this paper the distribution of charged particles is constructed under the approximation of ambipolar diffusion. The results of mathematical modelling in two-dimensional case taking into account the velocities of the system are presented.

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 P. Nefyodov , V. Reztsov , O. Riabinina

It is state-of-the-art to describe the dielectric behavior of an insulation material by its permittivity and its specific electric conductivity in order to estimate the dielectric stress of an insulation system. Thus, the electric field at…

Applied Physics · Physics 2019-11-22 Tobias Gabler , Karsten Backhaus , Steffen Großmann , Ronny Fritsche

A model of a conducting cylinder with a radial temperature gradient which creates an electric field that increases with time in the surrounding vacuum is examined. The conditions under which this model functions are pointed out. An electric…

High Energy Astrophysical Phenomena · Physics 2024-11-19 G. S. Bisnovatyi-Kogan , M. V. Glushikhina