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The multipole-expansion (MPE) model is an implicit solvation model used to efficiently incorporate solvent effects in quantum chemistry. Even within the recent direct approach, the multipole basis used in MPE to express the dielectric…

Chemical Physics · Physics 2021-12-10 Jakob Filser , Karsten Reuter , Harald Oberhofer

Point multipole expansions are widely used to gain physical insight into complex distributions of charges and to reduce the cost of computing interactions between such distributions. However, practical applications that typically retain…

Classical Physics · Physics 2015-06-03 Charles Baker , Ramu Anandakrishnan , Alexey Onufriev

The multipole expansion is a key tool in the study of light-matter interactions. All the information about the radiation of and coupling to electromagnetic fields of a given charge-density distribution is condensed into few numbers: The…

Optics · Physics 2018-05-08 R. Alaee , C. Rockstuhl , I. Fernandez-Corbaton

Using the multipole expansion of electromagnetic (EM) field, we present the angular magnetoelectric (AME) coupling in irreducible tensor form. We evaluate the matrix elements when the radiation source is described by electronic transitions…

Atomic Physics · Physics 2017-10-11 Rytis Jursenas

Aggregates immersed in a plasma or radiative environment will have charge distributed over their extended surface. Previous studies have modeled the aggregate charge using the monopole and dipole terms of a multipole expansion, with results…

Computational Physics · Physics 2016-05-04 Lorin S. Matthews , Douglas A. Coleman , Truell W. Hyde

Various procedures for expressing the multipolar expansion of the electromagnetic field are considered with application to the calculation of the radiated power. Some results from literature are discussed and perspective of developing the…

Physics Education · Physics 2007-05-23 Irina Dumitriu , C. Vrejoiu

We propose a consistent approach to the definition of electric, magnetic, and toroidal multipole moments. Electric and magnetic fields are split into potential, vortex, and radiative terms, with the latter ones dropped off in the…

Classical Physics · Physics 2019-01-10 Yuri Krynytskyi , Andrij Rovenchak

Millicharged particles (mCPs) are hypothesized particles possessing an electric charge that is a fraction of the charge of the electron. We report a search for mCPs with charges $\gtrsim 10^{-4}~e$ that improves sensitivity to their…

High Energy Physics - Experiment · Physics 2021-07-14 Gadi Afek , Fernando Monteiro , Jiaxiang Wang , Benjamin Siegel , Sumita Ghosh , David C. Moore

Starting from Jefimenko's equations, we consider the multipole expansions of electric and magnetic fields for a confined system of charges and currents. We analyze and comment on the calculus of radiated power, on the consistent use of…

Classical Physics · Physics 2009-10-08 C. Vrejoiu , R. Zus

We study the theoretical minimum emittance for a non-uniform bending magnet with the bending radius linearly ramped from the dipole center to its end. We derive the expression for the minimum emittance as a function of the bending angle and…

Accelerator Physics · Physics 2015-04-07 G. Baranov , E. Levichev , S. Sinyatkin

With the help of mathematical technique of irreducible tensors the multipole expansion for the probability amplitude of spontaneous radiation of a quantum system is derived. It is shown that the found series represents the total radiation…

Atomic Physics · Physics 2014-10-09 M. Ya. Agre

It has been argued, that in noncommutative field theories sizes of physical objects cannot be taken smaller than an elementary length related to noncommutativity parameters. By gauge-covariantly extending field equations of noncommutative…

High Energy Physics - Theory · Physics 2011-11-01 T. C. Adorno , D. M. Gitman , A. E. Shabad , D. V. Vassilevich

An expression is derived for the free energy of nonideal atomic plasma, which corresponds to exact asymptotic expansions. The analytical dependence of correction for the interaction of free charges on the partition function of atom is…

Plasma Physics · Physics 2007-05-23 A. L. Khomkin , I. A. Mulenko

Permanent Magnet multipoles (PMM) are widely used in accelerators to either focus particle beams or confine plasma in ion sources. The real magnetic field created by PMM is calculated by magnetic field simulation software and then used in…

Accelerator Physics · Physics 2020-05-20 Thomas Thuillier , Thomas Andre , Jose-Antonio Mendez-Giono

Traditionally, interatomic potentials assume local bond formation supplemented by long-range electrostatic interactions when necessary. This ignores intermediate range multi-atom interactions that arise from the relaxation of the electronic…

Materials Science · Physics 2022-11-07 Anton Bochkarev , Yury Lysogorskiy , Christoph Ortner , Gábor Csányi , Ralf Drautz

The concept of basic chemical models is introduced, which is new from the standpoint of the physics of nonideal atomic plasma. This concept is based on the requirement of full conformity of the expression for free energy in the chemical…

Plasma Physics · Physics 2015-06-26 A. L. Khomkin , I. A. Mulenko , A. S. Shumikhin

Multipole expansion plays an important role in the description of electromagnetic scatterers, allowing them to be accurately characterized by a small set of expansion coefficients. However, to describe electromagnetic excitations inside a…

Optics · Physics 2026-03-06 Radoslaw Kolkowski , Sagar Sehrawat , Andriy Shevchenko

The Atomic Cluster Expansion (ACE) [R. Drautz, Phys. Rev. B, 99:014104 (2019)] provides a systematically improvable, universal descriptor for the environment of an atom that is invariant to permutation, translation and rotation. ACE is…

Computational Physics · Physics 2023-08-15 Christoph Ortner

The general form of the electrostatic potential around an arbitrarily charged colloid at an interface between a dielectric and a screening phase (such as air and water, respectively) is analyzed in terms of a multipole expansion. The…

Soft Condensed Matter · Physics 2008-07-11 A. Dominguez , D. Frydel , M. Oettel

The paper presents the multipole expansion for the electron-nucleus scattering cross section at high energies within the framework of the unified electroweak theory. The electroweak currents of the nucleus are expanded into the simple…

High Energy Physics - Phenomenology · Physics 2023-08-08 Z. P. Luong , M. T. Vo
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