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We formulate a method for computing Stokes flow past a highly deformed sphere with arbitrarily defined surface velocity. The fundamental ingredient is an explicit extrapolation operator extending a velocity field from the surface of a…

Soft Condensed Matter · Physics 2018-01-25 Amir Nourhani , Paul E. Lammert

An exact description is provided of an almost spherical fluid vesicle with a fixed area and a fixed enclosed volume locally deformed by external normal forces bringing two nearby points on the surface together symmetrically. The conformal…

Soft Condensed Matter · Physics 2013-04-17 Jemal Guven , Pablo Vázquez-Montejo

We present two results in the treatment of self-force of accelerating bodies. If the total force on an extended rigid object is calculated from the change of momentum summed over planes of simultaneity of successive rest frames, then we…

Classical Physics · Physics 2018-10-08 Andrew Steane

Quantifying the contribution of vortex structures to pressure stress is useful for designing flow control strategies to mitigate low or drag. The traditional force-element method focuses on the contribution of vortex structures to the…

Fluid Dynamics · Physics 2025-09-16 Zhiteng Zhou , Yi Liu , Hongping Wang , Shizhao Wang

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

We present a detailed derivation of the electromagnetic force density and pressure in linear dielectric media according to the so-called Microscopic Amp\`ere formulation, which considers the classical dipolar sources in matter along with…

Optics · Physics 2023-11-27 Bruno Anghinoni , Mikko Partanen , Nelson G. C. Astrath

The interaction of an electron with a local static charge distribution (e.g., an atom or molecule) is dominated at large distances by the radial 1/r Coulomb potential. The second order effect comes from the non-central electric dipole…

Quantum Physics · Physics 2023-02-08 A. D. Alhaidari , H. Bahlouli

In our paper [Ann. Phys. (NY) 395, 326 (2018)] we calculate the Casimir stress on a sphere immersed in a homogeneous background, assuming dispersionless dielectrics. Our results appear to challenge the conventional picture of Casimir…

High Energy Physics - Theory · Physics 2019-10-08 Ulf Leonhardt

We have employed the multiple image method to compute the interparticle force for a polydisperse electrorheological (ER) fluid in which the suspended particles can have various sizes and different permittivites. The point-dipole (PD)…

Soft Condensed Matter · Physics 2007-05-23 Y. L. Siu , Jones T. K. Wan , K. W. Yu

We propose a new method to compute the free energy or enthalpy of fluids or disordered solids by computer simulation . The main idea is to construct a reference system by freezing one representative configuration, and then carry out a…

Computational Physics · Physics 2011-03-16 Friederike Schmid , Tanja Schilling

The dielectric properties of molecules or nanostructures are usually modified in a complex manner, when assembled into a condensed phase. We propose a first-principles method to compute polarizabilities of sub-entities of solids and…

Chemical Physics · Physics 2018-09-10 Ding Pan , Marco Govoni , Giulia Galli

We calculate exactly the Casimir force between a spherical particle and a plane, both with arbitrary dielectric properties, in the non-retarded limit. Using a Spectral Representation formalism, we show that the Casimir force of a sphere…

Quantum Physics · Physics 2007-05-23 Cecilia Noguea , Carlos E. Roman-Velazquez

Recently, in an ensemble of small spheres, we proposed a method that converts the force between two large spheres into the pressure on the large sphere's surface element. Using it, the density distribution of the small spheres around the…

Soft Condensed Matter · Physics 2015-07-23 Kota Hashimoto , Ken-ichi Amano

We propose a method of transformation from a force curve obtained with a surface force apparatus (SFA) to a density distribution of a liquid near a surface. The method is based on the statistical mechanics of liquids. As a first step, we…

Data Analysis, Statistics and Probability · Physics 2015-11-17 Ken-ich Amano , Ohgi Takahashi

We construct a boundary integral representation for the low-Reynolds-number flow in a channel in the presence of freely-suspended particles (or droplets) of arbitrary size and shape. We demonstrate that lubrication theory holds away from…

Fluid Dynamics · Physics 2018-01-17 Itzhak Fouxon , Zhouyang Ge , Luca Brandt , Alexander Leshansky

We present a method for calculating ab initio interatomic forces which scales quadratically with the size of the system and provides a physically transparent representation of the force in terms of the spatial variation of the electronic…

mtrl-th · Physics 2008-02-03 C. Wei , Steven P. Lewis , E. J. Mele , Andrew M. Rappe

We establish the time averaged total force on a subwavelength sized particle in a time harmonic varying field. Our analysis is not restrictive about the spatial dependence of the incident field. We discuss the addition of the radiative…

Optics · Physics 2016-09-08 P. C. Chaumet , M. Nieto-Vesperinas

We calculate, for nonzero momentum transfer, the dipole formula for the high energy behaviour of elastic and quasielastic scattering of a virtual photon. We obtain an expression of the nonforward photon impact factor and of the nonforward…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Bartels , K. Golec-Biernat , K. Peters

We study the drag on a centimetric sphere in a uniform flow in the presence of a free surface as a function of submergence depth. Through direct force measurements in a custom benchtop recirculating flume, we demonstrate that the drag can…

Fluid Dynamics · Physics 2023-10-05 Robert Hunt , Ze Zhao , Eli Silver , Jinhui Yan , Yuri Bazilevs , Daniel M. Harris

We present a scattering theory of the electromotive force and internal resistance of an electron pump. The characterization of the device performance in terms of only two parameters requires the assumption of incoherent multiple scattering…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Miguel Rey , Fernando Sols