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We study exact solutions for the slow viscous flow of an infinite liquid caused by two rigid spheres approaching each either along or parallel to their line of centres, valid at all separations. This goes beyond the applicable range of…

Fluid Dynamics · Physics 2020-03-30 B. D. Goddard , R. D. Mills-Williams , J. Sun

Conventionally, surface tension is expressed as a force per unit length or as an energy per unit area. In this paper, we propose a thought experiment that consists of replacing the surface tension with an equivalent force per unit area…

Fluid Dynamics · Physics 2025-12-01 Andre Schiltz

We consider the enhancement of electric field in the presence of two perfectly conducting spheres. When the two spheres get closer, the electric field have a much larger magnitude compared to the external field in the small gap region…

Analysis of PDEs · Mathematics 2015-02-17 Mikyoung Lim , Sanghyeon Yu

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

We compute the drag force on a sphere settling slowly in a quiescent, linearly stratified fluid. Stratification can significantly enhance the drag experienced by the settling particle. The magnitude of this effect depends on whether…

Fluid Dynamics · Physics 2025-10-01 R. Mehaddi , F. Candelier , B. Mehlig

We present a theoretical study of dielectrophoretic (DEP) crossover spectrum of two polarizable particles under the action of a nonuniform AC electric field. For two approaching particles, the mutual polarization interaction yields a change…

Chemical Physics · Physics 2007-05-23 J. P. Huang , Mikko Karttunen , K. W. Yu , L. Dong

The properties of a special configuration of a helium-like atomic system, when both electrons are on the surface of a sphere of radius $r$, and angle $\theta$ characterizes their positions on sphere, are investigated. Unlike the previous…

Atomic Physics · Physics 2021-06-22 Evgeny Z. Liverts

From the energy-momentum tensors of the electromagnetic field and the mechanical energy-momentum, the equations of energy conservation and balance of electromagnetic and mechanical forces are obtained. The equation for the Abraham force in…

Classical Physics · Physics 2017-05-25 Yurii A. Spirichev

The self-force acting on a (scalar or electric) charge held in place outside a massive body contains information about the body's composition, and can therefore be used as a probe of internal structure. We explore this theme by computing…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Soichiro Isoyama , Eric Poisson

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

We simulate model systems of charged spherical particles in their counterion solution and measure the thermodynamic pressure and the pair distribution function from which we derive effective potentials of mean force. For a system with only…

Soft Condensed Matter · Physics 2007-05-23 Niels Gronbech-Jensen , Keith M Beardmore , Philip Pincus

The dielectric response and structural properties of finite-temperature electron liquids are central to accurately describing the physical behavior of electronic systems. This study presents a robust analytical model for the static…

Plasma Physics · Physics 2026-03-19 Chengliang Lin , Yong Hou , Jianmin Yuan , Yong Wu , Jianguo Wang

We develop an exact method for computing the Casimir energy between arbitrary compact objects, either dielectrics or perfect conductors. The energy is obtained as an interaction between multipoles, generated by quantum current fluctuations.…

Statistical Mechanics · Physics 2008-11-26 T. Emig , N. Graham , R. L. Jaffe , M. Kardar

A framework for premetric p-form electrodynamics is proposed. Independently of particular constitutive relations, the corresponding Maxwell equations are derived as a special case of stress theory in geometric continuum mechanics.…

Mathematical Physics · Physics 2026-01-16 Vladimir Gol'dshtein , Reuven Segev

Cells and other soft particles are often forced to flow in confined geometries in both laboratory and natural environments, where the elastic deformation induces an additional drag and pressure drop across the particle. In contrast with…

Fluid Dynamics · Physics 2025-07-09 Charles Paul Moore , Hiba Belkadi , Brouna Safi , Gabriel Amselem , Charles N. Baroud

The basic continuum model for polar fluids is deceptively simple. The free energy integral consists of four terms: The coupling of polarization to an external field, the electrostatic energy of the induced electric field interacting with…

Soft Condensed Matter · Physics 2021-12-22 Michiel Sprik

Molecular dynamics simulations are used to study the mechanism and kinetics of hydrated electron diffusion. The electron center of mass is found to exhibit Brownian-type behavior with a diffusion coefficient considerably greater than that…

Chemical Physics · Physics 2012-11-06 Kafui A. Tay , François-Xavier Coudert , Anne Boutin

Applying an electric field to an aqueous colloidal dispersion establishes a complex interplay of forces among the highly mobile simple ions, the more highly charged but less mobile colloidal spheres, and the surrounding water. This…

Soft Condensed Matter · Physics 2007-05-23 Yilong Han , David G. Grier

We present a theoretical model and experimental demonstration of thin liquid film deformations due to a dielectric force distribution established by surface electrodes. We model the spatial electric field produced by a pair of parallel…

Soft Condensed Matter · Physics 2023-06-22 Israel Gabay , Federico Paratore , Evgeniy Boyko , Antonio Ramos , Amir D. Gat , Moran Bercovici

A novel dielectric scheme is proposed for strongly coupled electron liquids that handles quantum mechanical effects beyond the random phase approximation level and treats electronic correlations within the integral equation theory of…

Statistical Mechanics · Physics 2023-04-12 Panagiotis Tolias , Federico Lucco Castello , Tobias Dornheim
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