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By using the generalized version of the Shell Theorem analytical equations are derived to calculate the electric energy of a charged sphere and the field energy of the electrolyte inside and around the sphere. These electric energies are…

Soft Condensed Matter · Physics 2021-01-21 Istvan P. Sugar

We study the effective forces acting between colloidal particles trapped at a fluid interface which itself is exposed to a pressure field. To this end we apply what we call the ``force approach'', which relies solely on the condition of…

Soft Condensed Matter · Physics 2008-03-31 Alvaro Dominguez , Martin Oettel , Siegfried Dietrich

We develop a general methodology for numerical computations of electromagnetic (EM) fields and forces in matter, based on solving the macroscopic Maxwell's equations in real space and adopting the Maxwell Stress Tensor formalism. Our…

Condensed Matter · Physics 2009-10-31 M. I. Antonoyiannakis , J. B. Pendry

The present study concerns the dynamic radiation force on solid elastic spheres exerted by a plane wave with two frequencies (bichromatic wave) considering the nonlinearity of the fluid. Our approach is based on solving the wave scattering…

Fluid Dynamics · Physics 2009-11-13 Glauber T. Silva

The Coulomb's formula for the force FC of electrostatic interaction between two point charges is well known. In reality, however, interactions occur not between point charges, but between charged bodies of certain geometric form, size and…

Soft Condensed Matter · Physics 2016-04-26 Kiril Kolikov

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

We calculate the optical force and torque applied to an electric dipole by a spinning light field. We find that the dissipative part of the force depends on the orbital energy flow of the field only, because the latter is related to the…

In this paper, the translational addition theorem for spherical functions is employed to exactly calculate the acoustic radiation force produced by an arbitrary shaped beam on a sphere suspended in an inviscid fluid. The radiation force is…

Classical Physics · Physics 2014-02-18 Glauber T. Silva , André L. Baggio , J. Henrique Lopes , Farid G. Mitri

We calculate the electrostatic self-force on an electric dipole in the spacetime generated by a static, thin, infinite and straight cosmic string. The electric dipole is held fixed in different configurations, namely, parallel,…

High Energy Physics - Theory · Physics 2015-06-17 C. R. Muniz , V. B Bezerra

The interaction between a polarizable particle and a reflecting wall is examined. A macroscopic approach is adopted in which the averaged force is computed from the Maxwell stress tensor. The particular case of a perfectly reflecting wall…

Quantum Physics · Physics 2009-10-31 L. H. Ford

The electrostatic force is described in this model by the action of electric dipole distributions on charged particles. The individual hypothetical dipoles are propagating at the speed of light in vacuum transferring momentum and energy…

General Physics · Physics 2018-03-15 K. Wilhelm , B. N. Dwivedi , H. Wilhelm

A summary of recent calculations of Casimir forces between a collection of $N$-dielectric spheres is presented. This is done by evaluating directly the force on a sphere constructed from a stress tensor, rather than an interaction energy. A…

Quantum Physics · Physics 2017-08-23 James Babington

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 multiple scattering formulation is used to calculate the force, arising from fluctuating scalar fields, between distinct bodies described by $\delta$-function potentials, so-called semitransparent bodies. (In the limit of strong coupling,…

High Energy Physics - Theory · Physics 2008-11-26 Kimball A. Milton , Jef Wagner

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

We report the first study on the optical force exerted by an evanescent wave on a small sphere with both electric and magnetic response to the incident field, immersed in an arbitrary nondissipative medium. New expressions and effects from…

Optics · Physics 2016-11-26 M. Nieto-Vesperinas , J. J. Saenz

A quite straightforward approximation for the electrostatic interaction between two perfectly conducting surfaces suggests itself when the distance between them is much smaller than the characteristic lengths associated to their shapes.…

Classical Physics · Physics 2015-06-03 C. D. Fosco , F. C. Lombardo , F. D. Mazzitelli

In this paper, the acoustic interaction forces and torques exerted by an arbitrary time-harmonic wave on a set of N spheres suspended in an inviscid fluid are theoretically analyzed. In so doing, we utilize the partial-wave expansion method…

Classical Physics · Physics 2016-11-17 J. Henrique Lopes , M. Azarpeyvand , G. T. Silva

The immersed boundary method is a mathematical formulation and numerical method for solving fluid-structure interaction problems. For many biological problems, such as models that include the cell membrane, the immersed structure is a…

Numerical Analysis · Mathematics 2018-06-07 Ondrej Maxian , Andrew T. Kassen , Wanda Strychalski

Nonlinear electrokinetic phenomena, where electrically driven fluid flows depend nonlinearly on the applied voltage, are commonly encountered in aqueous suspensions of colloidal particles. A prime example is the induced-charge…

Soft Condensed Matter · Physics 2024-11-27 Zhanwen Wang , Michael J. Miksis , Petia M. Vlahovska