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As an integrative and insightful example for undergraduates learning about electrostatics, we discuss how to use symmetry, Coulomb's Law, superposition, Gauss's law, and visualization to understand the electric field produced by a…

Physics Education · Physics 2016-07-27 Kaitlin McCreery , Henry Greenside

We use a Legendre polynomial expansion to find the electrostatic potential of a uniformly charged disk. We then use the potential to find the electric field of the disk.

Classical Physics · Physics 2025-10-29 Jerrold Franklin

We investigate the effect of quenched surface charge disorder on electrostatic interactions between two charged surfaces in the presence of dielectric inhomogeneities and added salt. We show that in the linear weak-coupling regime (i.e., by…

Soft Condensed Matter · Physics 2007-05-23 Rudolf Podgornik , Ali Naji

The mesoscopic field theory for ionic systems [A. Ciach and G. Stell, J. Mol. Liq. 87, 255 (2000)] is extended to the system with charged boundaries. A very simple expression for the excess grand potential functional of the charge density…

Soft Condensed Matter · Physics 2018-11-20 Alina Ciach

We study the effect of dielectric inhomogeneities on the interaction between two planparallel charged surfaces with oppositely charged mobile charges in between. The dielectric constant between the surfaces is assumed to be different from…

Soft Condensed Matter · Physics 2011-07-21 M. Kanduc , R. Podgornik

We present an electrostatic theory of the optical rectification, namely, the static photovoltage or photocurrent generation under a light illumination, in metallic particles. The hydrodynamical model for the charge carriers in the metals is…

Optics · Physics 2022-03-23 Tetsuyuki Ochiai

This is a survey of the electrostatic potentials produced by charged straight-line segments, in various numbers of spatial dimensions, with comparisons between uniformly charged segments and those having non-uniform linear charge…

Classical Physics · Physics 2016-05-04 T L Curtright , N M Aden , X Chen , M J Haddad , S Karayev , D B Khadka , J Li

We study the potential and the charge distribution across the interface of a plasma and a dielectric wall. For this purpose, the charge bound to the wall is modelled as a quasi-stationary electron surface layer which satisfies Poisson's…

Plasma Physics · Physics 2015-05-30 Rafael L. Heinisch , Franz X. Bronold , Holger Fehske

In the study of colloidal, biological and electrochemical systems, it is customary to treat surfaces, macromolecules and electrodes as homogeneously charged. This simplified approach is proven successful in most cases, but fails to describe…

Soft Condensed Matter · Physics 2022-08-04 Ram M. Adar , David Andelman , Haim Diamant

We develop a microscopic theory of an unconventional photogalvanic effect in two-dimensional materials with the Dirac energy spectrum of the carriers of charge under strong driving. As a test bed, we consider a layer of a transition metal…

Mesoscale and Nanoscale Physics · Physics 2019-02-13 V. M. Kovalev , I. G. Savenko

Voltage and charge distributions in cellular microdomains regulate communications, excitability, and signal transduction. We report here new electrical laws in a cell, which follow from a nonlinear electro-diffusion model. These newly…

Biological Physics · Physics 2017-01-03 Jerome Cartailler , Zeev Schuss , David Holcman

The present study aims at utilizing field effect phenomenon to induce heterogeneous surface charge and consequently changing the fluid flow in a solid state nanochannel with converging-diverging periodicity. It is shown that the proposed…

Applied Physics · Physics 2020-02-18 Movaffaq Kateb , Mohammadreza Kolahdouz , Morteza Fathipour

We compute the transmission probability through rectangular potential barriers and p-n junctions in the presence of a magnetic and electric fields in bilayer graphene taking into account contributions from the full four bands of the energy…

Mesoscale and Nanoscale Physics · Physics 2016-05-06 Ahmed Jellal , Ilham Redouani , Hocine Bahlouli

We consider the Brans-Dicke Reissner-Nordstrom spacetime in isotropic coordinates and the electrostatic field of an electric point charge placed outside its surface of inversion. We treat the static electric point charge as a linear…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Maya Watanabe , A. W. C Lun

We utilize the self-consistent field theory to explore the mechanical and electrical properties of charged surfaces immersed in polyelectrolyte solutions that could be potentially useful for electrochemical applications. Our research…

Soft Condensed Matter · Physics 2023-08-25 Yu. A. Budkov , N. N. Kalikin

Analysis of space-charge effects on electron emission typically makes some assumption of continuity and smoothness, whether this is continuity of charge as in the classical derivation of the Child-Langmuir current, or the mean-field…

Accelerator Physics · Physics 2026-03-06 Arnar Jonsson , Kristinn Torfason , Andrei Manolescu , Agust Valfells

In this work, we investigate the generation of the ambipolar electric field in a gravitationally stratified, collisionless plasma atmosphere. In such environments, gravity tends to separate charged species. To prevent separation an electric…

Plasma Physics · Physics 2025-09-24 Luca Barbieri

We use a pin-grid electrode to introduce a corrugated electrical potential into a planar dielectric-barrier discharge (DBD) system, so that the amplitude of the applied electric field has the profile of a two-dimensional square lattice. The…

Pattern Formation and Solitons · Physics 2015-06-03 Josiah Sinclair , Matthew Walhout

The charge distribution induced by external fields in finite stacks of graphene planes, or in semiinfinite graphite is considered. The interlayer electronic hybridization is described by a nearest neighbor hopping term, and the charge…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 F. Guinea

In "Classical Electrodynamics" (Jackson) a theorem is proved on the average of an electrostatic or magnetostatic field over a spherical volume. The proof of the theorem is based on an expansion in spherical harmonics and it is useful for…

Classical Physics · Physics 2009-03-06 Patrick De Visschere