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In this paper, we consider the constrained energy minimizing generalized multiscale finite element method (CEM-GMsFEM) with discontinuous Galerkin (DG) coupling for the linear elasticity equations in highly heterogeneous and high contrast…

数值分析 · 数学 2022-11-09 Zhongqian Wang , Shubin Fu , Eric Chung

A highly unusual pattern of strong multiple resonances for bulk electromagnetic waves is predicted and analysed numerically in thick periodic holographic gratings in a slab with the mean permittivity that is larger than that of the…

光学 · 物理学 2007-05-23 D. K. Gramotnev , S. J. Goodman , T. A. Nieminen

In this work we develop a high-resolution mapped-grid finite volume method code to model wave propagation in two dimensions in systems of multiple orthotropic poroelastic media and/or fluids, with curved interfaces between different media.…

数值分析 · 数学 2013-05-15 Grady I. Lemoine , M. Yvonne Ou

Analysing the impact of bottom friction on shallow water waves over bottom terrains is important in areas including environmental and coastal engineering as well as the oceanic and atmospheric sciences. However, current theoretical…

流体动力学 · 物理学 2023-06-28 Chang Liu , Antwan D. Clark

In this paper, we rigorously investigate the reduced density matrix (RDM) associated to the ideal Bose gas in harmonic traps. We present a method based on a sum-decomposition of the RDM allowing to treat not only the isotropic trap, but…

数学物理 · 物理学 2015-10-30 Mathieu Beau , Baptiste Savoie

This paper studies guided transverse scalar modes propagating through helically coiled waveguides. Modeling the modes as solutions of the Helmholtz equation within the three-dimensional (3D) waveguide geometry, a propagation ansatz…

光学 · 物理学 2025-09-19 Jay Gopalakrishnan , Michael Neunteufel

Canonical quantization of the polarized Gowdy midi-superspace with a 3-torus spatial topology is carried out. As in an earlier work on the Einstein-Rosen cylindrical waves, symmetry reduction is used to cast the original problem in…

广义相对论与量子宇宙学 · 物理学 2009-11-07 M. Pierri

The nonlinear dynamics of energetic-particle (EP) driven geodesic acoustic modes (EGAM) is investigated here. A numerical analysis with the global gyrokinetic particle-in-cell code ORB5 is performed, and the results are interpreted with the…

等离子体物理 · 物理学 2018-02-14 A. Biancalani , I. Chavdarovski , Z. Qiu , A. Bottino , D. Del Sarto , A. Ghizzo , O. Gurcan , P. Morel , I. Novikau

The Sharpened Distance Conjecture and Tower Scalar Weak Gravity Conjecture are closely related but distinct conjectures, neither one implying the other. Motivated by examples, I propose that both are consequences of two new conjectures: 1.…

高能物理 - 理论 · 物理学 2023-08-04 Muldrow Etheredge

The behavior of geodesic curves on even seemingly simple surfaces can be surprisingly complex. In this paper we use the Hamiltonian formulation of the geodesic equations to analyze their integrability properties. In particular, we examine…

动力系统 · 数学 2011-12-15 Thomas J. Waters

We study geodetic lines on a surface generated by a small deformation of the standard 2D-sphere. We construct an auxiliary hamiltonian system with the view of describing geodetic coils and almost closed geodesics, by using the fact that…

动力系统 · 数学 2007-05-23 V. L. Golo , D. O. Sinitsyn

The low-temperature properties of amorphous solids are widely believed to be controlled by low-frequency quasi-localized modes. What governs their spatial structure and density is however debated. We study these questions numerically in…

无序系统与神经网络 · 物理学 2019-07-17 Masanari Shimada , Hideyuki Mizuno , Matthieu Wyart , Atsushi Ikeda

Active systems on curved geometries are ubiquitous in the living world. In the presence of curvature orientationally ordered polar flocks are forced to be inhomogeneous, often requiring the presence of topological defects even in the steady…

软凝聚态物质 · 物理学 2017-09-14 Suraj Shankar , Mark J. Bowick , M. Cristina Marchetti

Paraxial ray tracing procedures have become widely accepted techniques for acoustic models in seismology and underwater acoustics. To date a generic form of these procedures including fluid motion and time dependence has not appeared in the…

大气与海洋物理 · 物理学 2009-11-10 David Bergman

We consider a simple class of holographic massive gravity models for which the dual field theories break translational invariance spontaneously. We study, in detail, the longitudinal sector of the quasi-normal modes at zero charge density.…

高能物理 - 理论 · 物理学 2020-01-08 Martin Ammon , Matteo Baggioli , Seán Gray , Sebastian Grieninger

In condensed matter physics gauge symmetries other than the U(1) of electromagnetism are of an emergent nature. Two emergence mechanisms for gauge symmetry are well established: the way these arise in Kramers-Wannier type local-global…

强关联电子 · 物理学 2012-02-23 J. Zaanen , A. J. Beekman

It is shown that the vector-vortex Laguerre-Gauss modes with polarization-orbital angular momentum (OAM) entanglement are the vector solutions of the Maxwell equations in a graded-index medium. Focusing of linearly and circularly polarized…

光学 · 物理学 2016-08-24 Nikolai I. Petrov

Computation of high frequency solutions to wave equations is important in many applications, and notoriously difficult in resolving wave oscillations. Gaussian beams are asymptotically valid high frequency solutions concentrated on a single…

偏微分方程分析 · 数学 2009-06-17 Hailiang Liu , James Ralston

We introduce modeling and simulation of the noise properties associated with types of modal oscillations induced by scaling the asymmetric gain suppression (AGS) in multimode semiconductor lasers. The study is based on numerical integration…

光学 · 物理学 2021-05-12 Ahmed Bakry , Ahmed Alshahrie , Alaa Mahmoud , Hamed Dalir , Moustafa Ahmed

This work focuses on the mixed membership models for multivariate categorical data widely used for analyzing survey responses and population genetics data. These grade of membership (GoM) models offer rich modeling power but present…

统计方法学 · 统计学 2024-12-30 Ling Chen , Chengzhu Huang , Yuqi Gu