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In this manuscript we investigate the capabilities of the Discrete Dipole Approximation (DDA) to simulate scattering from particles that are much larger than the wavelength of the incident light, and describe an optimized publicly available…

Optics · Physics 2007-05-23 Maxim A. Yurkin , Valeri P. Maltsev , Alfons G. Hoekstra

The path integral Monte Carlo method is used to simulate dilute trapped Bose gases and to investigate the equilibrium properties at finite temperatures. The quantum particles have a long-range dipole-dipole interaction and a short-range…

Statistical Mechanics · Physics 2009-11-11 Kwangsik Nho , D. P. Landau

There have been recent suggestions for searching for the electron electric dipole moment, using solid state experiments with compounds containing Gd 3+ ions. These experiments could improve the sensitivity compared to present atomic and…

Atomic Physics · Physics 2010-01-04 S. Y. Buhmann , V. A. Dzuba , O. P. Sushkov

We present a multilevel Monte Carlo simulation method for analysing multi-scale physical systems via a hierarchy of coarse-grained representations, to obtain numerically-exact results, at the most detailed level. We apply the method to a…

Statistical Mechanics · Physics 2022-10-04 Paul B. Rohrbach , Hideki Kobayashi , Robert Scheichl , Nigel B. Wilding , Robert L. Jack

Simulations of the dynamics of ions trapped in a Paul trap with terms in the potential up to the order 10 have been carried out. The power series method is used to solve numerically the equations of motion of the ions. The stability diagram…

Atomic Physics · Physics 2014-06-27 M. S. Herbane , H. Berriche , A. A. El-Hady , G. Al Shahrani , G. Ban , X. Flechard , E. Lienard

Trapped diatomic molecular ions could prove to be a sensitive probe for a permanent electron electric dipole moment (eEDM). We propose to use a ground or metastable $^3\Delta_1$ level, due to its high polarizability and large EDM…

We use Monte Carlo simulations to examine the simplest model of an ionic liquid, called the restricted primitive model, at a metal surface. We find that at moderately low temperatures the capacitance of the metal/ionic liquid interface is…

Chemical Physics · Physics 2010-11-19 M. S. Loth , Brian Skinner , B. I. Shklovskii

We have developed a Fock-space relativistic coupled-cluster theory based method for the calculation of electric dipole polarizability of one-valence atoms and ions. We employ this method to compute the ground-state and spin-orbit coupled…

Atomic Physics · Physics 2022-09-21 Ravi Kumar , D. Angom , B. K. Mani

We solve exactly the dielectric response of a non-insulating sphere of radius $a$ suspended in symmetric, univalent electrolyte solution, with ideally-polarizable interface but without significant $\zeta$-potential. We then use this…

Classical Physics · Physics 2016-10-25 Jiang Qian , Pabitra N. Sen

Coulomb interaction, following an inverse-square force-law, quantifies the amount of force between two stationary and electrically charged particles. The long-range nature of Coulomb interactions poses a major challenge to molecular…

Computational Physics · Physics 2022-01-26 Jiuyang Liang , Pan Tan , Yue Zhao , Lei Li , Shi Jin , Liang Hong , Zhenli Xu

Discrete-velocity approximations represent a popular way for computing the Boltzmann collision operator. The direct numerical evaluation of such methods involve a prohibitive cost, typically $O(N^{2d+1})$ where $d$ is the dimension of the…

Numerical Analysis · Mathematics 2014-01-15 Clément Mouhot , Lorenzo Pareschi , Thomas Rey

The effect of the dipole-dipole interaction on the far-off-resonance optical dipole trapping scheme is calculated by a mean-field approach. The trapping laser field polarizes the atoms and the accompanying dipole-dipole energy shift deepens…

Atomic Physics · Physics 2009-11-13 D. Nagy , P. Domokos

Dielectric properties of material mixtures are of importance in diagnostics, characterization and design of systems in various engineering fields. In this Letter, we propose a peculiar dielectric mixture expression, which is based on the…

Materials Science · Physics 2007-05-23 Enis Tuncer

Advances in research such as quantum information and quantum chemistry require subtle methods for trapping particles (including ions, neutral atoms, molecules, etc.). Here we propose a hybrid ion trapping method by combining a Paul trap…

Atomic Physics · Physics 2025-06-04 Jin-Ming Cui , Shi-Jia Sun , Xi-Wang Luo , Yun-Feng Huang , Chuan-Feng Li , Guang-Can Guo

Describing long-ranged electrostatics using short-ranged pair potentials is appealing since the computational complexity scales linearly with the number of particles. The foundation of this approach is to mimic the long-ranged medium…

Statistical Mechanics · Physics 2020-05-13 Björn Stenqvist , Vidar Aspelin , Mikael Lund

The discrete-dipole approximation (DDA) is a flexible technique for computing scattering and absorption by targets of arbitrary geometry. In this paper we perform systematic study of various non-stationary iterative (conjugate gradient)…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Piotr J. Flatau

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

We describe the first precision measurement of the electron's electric dipole moment (eEDM, $d_e$) using trapped molecular ions, demonstrating the application of spin interrogation times over 700 ms to achieve high sensitivity and stringent…

The optical properties of clusters with metallic spherical particles embedded in an insulating matrix are studied. A theoretical approach is proposed for the calculation of the macroscopic dielectric response for a collection of spheres at…

Soft Condensed Matter · Physics 2009-10-31 Leonid G. Grechko , Vitaly N. Pustovit , Keith W. Whites

The discrete Fourier transform is approximated by summing over part of the terms with corresponding weights. The approximation reduces significantly the requirement for computer memory storage and enhances the numerical computation…

Strongly Correlated Electrons · Physics 2015-03-19 Xin-Zhong Yan
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