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In this work, an efficient approximation scheme has been proposed for getting accurate approximate solution of nonlinear partial differential equations with constant or variable coefficients satisfying initial conditions in a series of…

Analysis of PDEs · Mathematics 2020-09-04 Prakash Kumar Das , M. M. Panja

The main purpose of this work is to address the question of the utility of "effective constitutive relations" for problems in dynamics. This is done in the context of longitudinal shear waves in an elastic medium that is periodically…

Materials Science · Physics 2013-11-18 John Willis

Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematically improvable, model-independent calculations. Particularly interesting are few-body systems with…

Other Condensed Matter · Physics 2009-11-10 H. -W. Hammer

Plasmonic metal nanostructures are an integral part of nanophotonic device applications owing to their ability to generate strong localized electromagnetic fields when illuminated from the far-field. These nanostructures can be prepared in…

Mesoscale and Nanoscale Physics · Physics 2018-02-05 Sunil Kumar , A. K. Sood

We present the first simulations within an effective theory of structure formation (ETHOS), which includes the effect of interactions between dark matter and dark radiation on the linear initial power spectrum and dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-14 Mark Vogelsberger , Jesus Zavala , Francis-Yan Cyr-Racine , Christoph Pfrommer , Torsten Bringmann , Kris Sigurdson

This review gives an overview of effective field theory (EFT) as applied at finite density, with a focus on nuclear many-body systems. Uniform systems with short-range interactions illustrate the ingredients and virtues of many-body EFT and…

Nuclear Theory · Physics 2009-11-19 R. J. Furnstahl , G. Rupak , T. Schaefer

Swift electrons from highly focused beams produced in aberration-corrected scanning transmission electron microscopes offer a powerful route for probing and manipulating matter at the nanoscale. Although linear momentum transfer from swift…

We construct effective-one-body waveform models suitable for data analysis with LISA for extreme-mass ratio inspirals in quasi-circular, equatorial orbits about a spinning supermassive black hole. The accuracy of our model is established…

General Relativity and Quantum Cosmology · Physics 2011-03-23 Nicolas Yunes , Alessandra Buonanno , Scott A. Hughes , Yi Pan , Enrico Barausse , M. Coleman Miller , William Throwe

We study the extinction efficiencies as well as scattering properties of particles of different porosity. Calculations are performed for porous pseudospheres with small size (Rayleigh) inclusions using the discrete dipole approximation.…

Astrophysics · Physics 2009-11-13 N. V. Voshchinnikov , G. Videen , Th. Henning

Light transmission through circular subwavelength apertures in metallic films with surrounding nanostructures is investigated numerically. Numerical results are obtained with a frequency-domain finite-element method. Convergence of the…

Optics · Physics 2009-05-28 S. Burger , B. H. Kleemann , L. Zschiedrich , F. Schmidt

Reflection and refraction of electromagnetic waves by artificial periodic composites (metamaterials) can be accurately modeled by an effective medium theory only if the boundary of the medium is explicitly taken into account and the two…

Optics · Physics 2013-09-24 Vadim A. Markel , Igor Tsukerman

We introduce a simple approach how an electromagnetic environment can be efficiently embedded into state-of-the-art electronic structure methods, taking the form of radiation-reaction forces. We demonstrate that this self-consistently…

Quantum Physics · Physics 2022-04-27 Christian Schäfer , Göran Johansson

This letter aims at resolving the issues raised in the recent short communication [1] and answered by [2] by proposing a systematic approximation scheme based on non-mapped shape functions, which both allows to fully exploit the unique…

Numerical Analysis · Computer Science 2011-07-20 Stephane PA Bordas , Sundararajan Natarajan

We present a broadly-applicable, physically-motivated first-principles approach to determining the fundamental gap of finite systems. The approach is based on using a range-separated hybrid functional within the generalized Kohn-Sham…

Materials Science · Physics 2015-05-19 Tamar Stein , Helen Eisenberg , Leeor Kronik , Roi Baer

In this work, we demonstrate an alternative method of deriving an isotropic energy band model using a one-dimensional definition of the effective mass and experimentally observed dependence of mass on energy. We extend the effective mass…

General Physics · Physics 2012-09-07 Viktor Ariel

We present a detailed comparison between ONETEP, our linear-scaling density functional method, and the conventional pseudopotential plane wave approach in order to demonstrate its high accuracy. Further comparison with all-electron…

Materials Science · Physics 2009-11-11 Chris-Kriton Skylaris , Peter D. Haynes , Arash A. Mostofi , Mike C. Payne

Microstructured materials, such as architected metamaterials and phononic crystals, exhibit complex wave propagation phenomena due to their internal structure. While full-scale numerical simulations can capture these effects, they are…

Computational Physics · Physics 2025-05-21 Gianluca Rizzi , Angela Madeo

In data science, individual observations are often assumed to come independently from an underlying probability space. Kernel matrices formed from large sets of such observations arise frequently, for example during classification tasks. It…

Machine Learning · Statistics 2026-05-27 Mikhail Lepilov

In this paper, we develop an accurate and efficient framework for computing subwavelength guided modes in high-contrast periodic media with line defects, based on a tight-binding approximation. The physical problem is formulated as an…

Mathematical Physics · Physics 2026-01-21 Habib Ammari , Erik Orvehed Hiltunen , Ping Liu , Borui Miao , Yi Zhu

An effective model is identified for thin perfectly plastic plates whose microstructure consists of the periodic assembling of two elastoplastic phases, as the periodicity parameter converges to zero. Assuming that the thickness of the…

Analysis of PDEs · Mathematics 2022-12-06 Marin Bužančić , Elisa Davoli , Igor Velčić
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