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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 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

In this paper we discuss how through the process of applying the Fourier transform to solutions of the Schr\"odinger equation in the Close Coupling approach, good results for the ionization differential cross section in energy for electrons…

Atomic Physics · Physics 2016-01-25 A. Amaya-Tapia , A. Antillón

We develop a universal framework which allows quickly solve a wide class of problems for longitudinal space charge effects in beams and plasmas in cylindrical geometry. We introduce the longitudinal dielectric permittivity for the beam of…

Plasma Physics · Physics 2021-09-15 Nikolai Yampolsky , Kip Bishofberger

We compare numerical methods for solving the radiative transfer equation in the context of the photoionization of intergalactic gaseous hydrogen and helium by a central radiating source. Direct integration of the radiative transfer equation…

Instrumentation and Methods for Astrophysics · Physics 2023-01-18 Ka-Hou Leong , Avery Meiksin , Althea Lai , K. H. To

We present a comprehensive analytical study of radiative transfer using the method of moments and include the effects of non-isotropic scattering in the coherent limit. Within this unified formalism, we derive the governing equations and…

Earth and Planetary Astrophysics · Physics 2015-06-19 Kevin Heng , João M. Mendonça , Jae-Min Lee

Energy and charge transfer across metal-semiconductor interfaces are the fundamental driving forces for a broad range of applications, such as computing, energy harvesting, and photodetection. However, the exact roles and physical…

Group-level behaviour of particles undergoing a velocity jump process with hard-sphere interactions is investigated. We derive $N$-particle transport equations that include the possibility of collisions between particles and apply different…

Computational Physics · Physics 2016-07-27 Benjamin Franz , Jake Taylor-King , Christian Yates , Radek Erban

Low-energy inelastic collisions with neutral hydrogen atoms are important processes in stellar atmospheres, and a persistent source of uncertainty in non-LTE modelling of stellar spectra. We have calculated and studied excitation and charge…

Solar and Stellar Astrophysics · Physics 2019-05-24 A. M. Amarsi , P. S. Barklem

Ab initio calculation of dielectric response with high-accuracy electronic structure methods is a long-standing problem, for which mean-field approaches are widely used and electron correlations are mostly treated via approximated…

Chemical Physics · Physics 2024-06-25 Xiang Li , Yubing Qian , Ji Chen

A solution of the scattering problem is obtained for the Schr\"odinger equation with the potential of induced dipole interaction, which decreases as the inverse square of the distance. Such a potential arises in the collision of an incident…

Atomic Physics · Physics 2023-08-23 V. A. Gradusov , S. L. Yakovlev

In this article, we derive a magnetic dipole model for two identical, electrically conducting, and permeable spheres that are exposed to an oscillating homogeneous magnetic field. Our model predicts both amplitude and phase of the induced…

Classical Physics · Physics 2022-12-07 Florian Bönsel , Alfred Müller , Rafael Psiuk

As shown by Overhauser and others, accurate pair densities for the uniform electron gas may be found by solving a two-electron scattering problem with an effective screened electron-electron repulsion. In this work we explore the extension…

Materials Science · Physics 2009-11-10 Paola Gori-Giorgi , Andreas Savin

We discuss the calculation of Casimir forces between a collection of $N$-dielectric spheres. This is done by evaluating directly the force on a sphere constructed from a stress tensor, rather than an interaction energy. Two and three body…

Quantum Physics · Physics 2015-05-14 James Babington

Most approximate exchange-correlation functionals used within density functional theory are constructed as the sum of two distinct contributions for exchange and correlation. Separating the exchange component from the entire functional is…

Condensed Matter · Physics 2009-10-28 Claudia Filippi , C. J. Umrigar , Xavier Gonze

Can we avoid molecular dynamics simulations to estimate the electrostatic interaction between charged objects separated by a nanometric distance in water? To answer this question, we develop a continuous model for the dielectric properties…

Soft Condensed Matter · Physics 2020-05-05 M. Vatin , A. Porro , N. Sator , J-F. Dufrêche , H. Berthoumieux

We apply the postquasistatic approximation, an iterative method for the evolution of self-gravitating spheres of matter, to study the evolution of dissipative and electrically charged distributions in General Relativity. We evolve…

General Relativity and Quantum Cosmology · Physics 2015-03-17 L. Rosales , W. Barreto , C. Peralta , B. Rodrí guez-Mueller

The electrostatic interaction between two non-identical, moderately charged colloids situated in close proximity of each other at a fluid interface is studied. By resorting to a well-justified model system, this problem is analytically…

Soft Condensed Matter · Physics 2018-04-30 Arghya Majee , Timo Schmetzer , Markus Bier

We consider the two-dimensional two-component plasma, or Coulomb gas, consisting of $N$ positive and $N$ negative charges with logarithmic interaction. We introduce a suitable regularization of the interaction by smearing the charges over a…

Mathematical Physics · Physics 2024-10-03 Jeanne Boursier , Sylvia Serfaty

We calculate the exact Casimir interaction energy between two perfectly conducting, very long, eccentric cylindrical shells using a mode summation technique. Several limiting cases of the exact formula for the Casimir energy corresponding…

Quantum Physics · Physics 2011-07-19 F. D. Mazzitelli , D. A. R. Dalvit , F. C. Lombardo