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We present a theoretical expression for the acoustic interaction force between small spherical particles suspended in an ideal fluid exposed to an external acoustic wave. The acoustic interaction force is the part of the acoustic radiation…

Fluid Dynamics · Physics 2016-02-02 Glauber T. Silva , Henrik Bruus

A formalism for describing charged particles interaction in both a finite volume and a uniform magnetic field is presented. In the case of short-range interaction between charged particles, we show that the factorization between short-range…

High Energy Physics - Lattice · Physics 2021-06-02 Peng Guo , Vladimir Gasparian

For one-dimensional many-body systems interacting via the \textit{Coulomb force} and with \textit{arbitrary} external potential energy, we derive (\textit{i}) the \textit{node coalescence condition} for the wave function. This condition…

Materials Science · Physics 2007-05-23 Xiao-Yin Pan , Viraht Sahni

We determine the strength of the weak nuclear force which holds the lattices of the elementary particles together. We also determine the strength of the strong nuclear force which emanates from the sides of the nuclear lattices. The strong…

General Physics · Physics 2009-02-18 E. L. Koschmieder

Non-empirical effective contact pairing forces to be used in self-consistent mean-field calculations are presented. These pairing forces, constructed so as to reproduce exactly any given microscopic pairing gaps in infinite homogeneous…

Nuclear Theory · Physics 2010-09-21 Nicolas Chamel

The electrostatic force on a spherical particle near a planar surface is calculated for the cases of a uniform electric field applied in either normal or tangential direction to the surface. The particle and suspending media are assumed to…

Soft Condensed Matter · Physics 2022-10-05 Zhanwen Wang , Michael J. Miksis , Petia M. Vlahovska

We study, from first principles, the pressure exerted by an active fluid of spherical particles on general boundaries in two dimensions. We show that, despite the non-uniform pressure along curved walls, an equation of state is recovered…

Statistical Mechanics · Physics 2016-08-31 Nikolai Nikola , Alexandre P. Solon , Yariv Kafri , Mehran Kardar , Julien Tailleur , Raphaël Voituriez

A unified approach to the calculation of dispersive forces on ground-state bodies and atoms is given. It is based on the ground-state Lorentz force density acting on the charge and current densities attributed to the polarization and…

Quantum Physics · Physics 2009-11-13 Christian Raabe , Dirk-Gunnar Welsch

There are several definitions of energy density in quantum mechanics. These yield expressions that differ locally, but all satisfy a continuity equation and integrate to the value of the expected energy of the system under consideration.…

Quantum Physics · Physics 2023-06-29 Francisco Torres Arvizu , Adrian Ortega , Hernán Larralde

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

Fundamental understanding of interatomic forces in molecules must emerge from quantum mechanics, yet widely used empirical force fields rely on simplified mechanistic approximations that often fail to capture the complexity of many-body…

The packing of hard-core particles in contact with their neighbors offers the statically determinate problem which allows analytical investigation of the stress tensor distribution. We construct the stress probability functional and derive…

Soft Condensed Matter · Physics 2023-06-07 Dmitry Grinev

We formalize a classification of pair interactions based on the convergence properties of the {\it forces} acting on particles as a function of system size. We do so by considering the behavior of the probability distribution function (PDF)…

Statistical Mechanics · Physics 2015-05-18 Andrea Gabrielli , Michael Joyce , Bruno Marcos , Francois Sicard

The Casimir-Polder force is analyzed when an atom is moving at a constant velocity relative to a collection of translationally invariant macroscopic bodies with generic shapes and compositions. The interaction is described within an…

Quantum Physics · Physics 2026-02-19 D. Reiche , B. Beverungen , K. Busch , F. Intravaia

We propose new effective inter-nucleon forces with a finite-range three-body operator. The proposed forces are suitable for describing the nuclear structure properties over a wide mass number region, including the saturation point of…

Nuclear Theory · Physics 2009-11-10 Y. Kanada-En'yo , Y. Akaishi

The equilibrium statistical mechanics of one-dimensional lattice gases with interactions of arbitrary range and shape between first-neighbor atoms is solved exactly on the basis of statistically interacting vacancy particles. Two sets of…

Statistical Mechanics · Physics 2014-01-30 Benaoumeur Bakhti , Michael Karbach , Philipp Maass , Mohammad Mokim , Gerhard Muller

Based on macroscopic QED in linear, causal media, we present a consistent theory for the Casimir-Polder force acting on an atom positioned near dispersing and absorbing magnetodielectric bodies. The perturbative result for the van-der-Waals…

Quantum Physics · Physics 2016-08-16 S. Y. Buhmann , Ho Trung Dung , T. Kampf , L. Knöll , D. -G. Welsch

There has been an enduring interest and controversy about whether or not one can define physically meaningful energy density and stress fields, $e(\bf{r})$ and $\sigma_{\alpha \beta}(\bf{r})$, since the two forms of the kinetic energy,…

Materials Science · Physics 2025-11-17 Richard M. Martin , Nithaya Chetty , Dallas R. Trinkle

An effective description for spherical nanoparticles in a fluid of point particles is presented. The points inside the nanoparticles and the point particles are assumed to interact via spherically symmetric additive pair potentials, while…

Statistical Mechanics · Physics 2009-11-13 Ramses van Zon

Starting from the linearized BdG-equation we make the simple observation that pairing can occur between particles with total momenta different from zero, e.g., with equal momentum and opposite spin, in cases of an effective interaction…

Superconductivity · Physics 2022-08-25 C. Hainzl , M. Loss
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