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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

In the classical model of atomic polarizability, atomic charges are displaced by an applied electric field, assuming the electron cloud remains spherically symmetric but with its center shifted from the nucleus, thereby inducing an electric…

Classical Physics · Physics 2025-02-11 O. F. de Alcantara Bonfim

We present an approach to electronic polarization in molecular solids treated as a set of quantum systems interacting classically. Individual molecules are dealt with rigorously as quantum-mechanical systems subject to classical external…

Condensed Matter · Physics 2009-11-07 E. V. Tsiper , Z. G. Soos

Ionic crystals, such as solid electrolytes and complex oxides, are central to modern technologies for energy storage, sensing, actuation, and other functional applications. An important fundamental issue in the atomic and quantum-scale…

Materials Science · Physics 2026-02-12 Shoham Sen , Yang Wang , Timothy Breitzman , Kaushik Dayal

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

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

The field of a point electric dipole in an infinite dielectric is obtained by placing the dipole at the center of a spherical cavity of radius $R$ inside the dielectric and then letting $R\to 0$. The result disagrees with the elementary…

Classical Physics · Physics 2009-11-07 R. L. P. G. Amaral , N. A. Lemos

This paper extends the Lorentz-Abraham model of an electron (i.e. the equations of motion for a small spherical shell of charge, which is rigid in its proper frame) to treat a small spherically symmetric charge distribution, allowing for…

Classical Physics · Physics 2016-04-27 P. D. Flammer

We develop a theoretical framework to describe the dielectric response of live cells in suspensions when placed in low external electric fields. The treatment takes into account the presence of the cell's membrane and of the charge movement…

Soft Condensed Matter · Physics 2008-10-18 Emil Prodan , Camelia Prodan , John H. Miller

The particles of electrorheological fluids can be modelled as dielectric spheres (DS) immersed in a continuum dielectric. When an external field is applied, polarization charges are induced on the surfaces of the spheres and can be…

Soft Condensed Matter · Physics 2013-12-13 D. Boda , M. Valiskó , I. Szalai

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

This paper builds on two previous works, Lindgren et al. J. Comp. Phys. 371, 712-731 (2018) and Quan et al. arXiv:1807.05384 (2018), to devise a new method to solve the problem of calculating electrostatic interactions in a system composed…

Soft Condensed Matter · Physics 2019-02-20 Eric B. Lindgren , Chaoyu Quan , Benjamin Stamm

Polarizable particle systems, including charged colloids, polarizable ions, biomolecular assemblies, and soft nanomaterials, can exhibit contact electrostatic interactions that depart strongly from Coulomb behavior when dielectric mismatch…

Soft Condensed Matter · Physics 2026-05-13 Yanyu Duan , Zecheng Gan

We derive an expression for the static dielectric constant of the colloidal susp ensions based on the electrokinetic equations. The analysis assumes that the ions have the same diffusivity, and that the double layer is much thinner than the…

Soft Condensed Matter · Physics 2009-11-07 C. -Y. D. Lu

We study the low-frequency polarization response of a surface-charged oblate spheroidal particle immersed in an electrolyte solution. Because the charged spheroid attracts counter-ions which form the electric double layer around the…

Classical Physics · Physics 2017-04-12 Chang-Yu Hou , Denise E. Freed , Pabitra N. Sen

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 induced surface charges appear to diverge when dielectric particles form close contacts. Resolving this singularity numerically is prohibitively expensive because high spatial resolution is needed. We show that the strength of this…

Soft Condensed Matter · Physics 2021-04-12 Huada Lian , Jian Qin

We extend the spherical coupled-cluster ab initio method for open-shell nuclei where two nucleons are removed from a shell subclosure. Following the recent implementation of the two-particle attached approach [Phys. Rev.C 110 (2024) 4,…

Nuclear Theory · Physics 2026-02-06 Francesco Marino , Francesca Bonaiti , Sonia Bacca , Gaute Hagen , Gustav R. Jansen

Classical electrodynamics uses a dielectric constant to describe the polarization response of electromechanical systems to changes in an electric field. We generalize that description to include a wide variety of responses to changes in the…

Statistical Mechanics · Physics 2021-09-10 Yiwei Wang , Chun Liu , Bob Eisenberg

Electrostatic interactions play an important role in numerous self-assembly phenomena, including colloidal aggregation. Although colloids typically have a dielectric constant that differs from the surrounding solvent, the effective…

Soft Condensed Matter · Physics 2018-09-17 Kipton Barros , Erik Luijten
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