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We consider the modified Emden equation (MEE) and introduce its most general solution, using the most general solution for the simple harmonic oscillator's linear dynamical equation (i.e., the initial conditions shall be identified by the…

经典物理 · 物理学 2023-11-06 Omar Mustafa

In the theory of viscoelasticity, an important class of models admits a representation in terms of springs and dashpots. Widely used members of this class are the Maxwell model and its extended version. This paper concerns resolvent…

偏微分方程分析 · 数学 2023-09-01 Maarten V. de Hoop , Masato Kimura , Ching-Lung Lin , Gen Nakamura

There is recent interest in the inter and intra element interactions of metamaterial unit cells. To calculate the effects of these interactions which can be substantial, an ab initio general coupled mode equation, in the form of an…

其他凝聚态物理 · 物理学 2015-06-05 Sameh Y. Elnaggar , Richard Tervo , Saba M. Mattar

A conformal gauge theory is used to describe and unify myriad electromechanical and magnetomechanical coupling effects observed in solid continua. Using a space-time pseudo-Riemannian metric in a finite-deformation setup and exploiting the…

经典物理 · 物理学 2023-07-19 Pranesh Roy , Sanjeev Kumar , Debasish Roy

A new mesoscale mechanical model, describing elastic interactions in carbon nanotubes (CNT) and other nanofilaments, is proposed. Functional form of the developed model is based on enhanced vector model (EVM) that describes basic types of…

介观与纳米尺度物理 · 物理学 2019-05-14 Vitaliy Petrov , Igor Ostanin , Petr Zhilyaev

This work constructs an advanced force field, the Completely Multipolar Model (CMM), to quantitatively reproduce each term of an energy decomposition analysis (EDA) for aqueous solvated alkali metal cations and halide anions and their ion…

化学物理 · 物理学 2024-10-14 J. P. Heindel , L. Kim , M. Head-Gordon , T. Head-Gordon

A novel unified Hamiltonian approach is proposed to solve Maxwell-Schrodinger equation for modeling the interaction between classical electromagnetic (EM) fields and particles. Based on the Hamiltonian of electromagnetics and quantum…

光学 · 物理学 2017-02-28 Yongpin P. Chen , Wei E. I. Sha , Li Jun Jiang , Min Meng , Yu Mao Wu , Weng Cho Chew

In an attempt to extend the mode coupling theory (MCT) to lower temperatures, an Unified theory was proposed which within the MCT framework incorporated the activated dynamics via the random first order transition theory (RFOT). Here we…

软凝聚态物质 · 物理学 2020-01-08 Manoj Kumar Nandi , Sarika Maitra Bhattacharyya

Electromagnetic (EM) scattering systems widely exist in EM engineering domain. For a certain objective scattering system, all of its working modes constitute a linear space, i.e. modal space. Characteristic mode theory (CMT) can effectively…

经典物理 · 物理学 2019-08-01 Renzun Lian

With growing demand for time-domain simulations of correlated many-body systems, the development of efficient and stable integration schemes for the time-dependent Schr\"odinger equation is of keen interest in modern electronic structure…

化学物理 · 物理学 2023-08-22 David B. Williams-Young , Stephen Yuwono , A. Eugene DePrince , Chao Yang

The biological effects of electromagnetic fields on proteins remain controversial beyond well-established thermal mechanisms, particularly with respect to frequency-dependent responses. Here, we propose that electromagnetic waves can…

化学物理 · 物理学 2026-02-02 Jiafei Chen , Yuanyuan Feng , Jingzhi Feng , Xinyun Zhang , Jinzhen Zhu , Qingmeng Xu

The study of collective nonlinear dynamics of coupled mechanical resonators is regaining attention in recent years thanks to rapid developments in the fields of microelectromechanical and nanoelectromechanical systems (MEMS and NEMS). We…

斑图形成与孤子 · 物理学 2021-08-24 Ron Lifshitz , Eyal Kenig , M. C. Cross

The existence of an exactly marginal deformation in a conformal field theory is very special, but it is not well understood how this is reflected in the allowed dimensions and OPE coefficients of local operators. To shed light on this…

高能物理 - 理论 · 物理学 2018-03-28 Connor Behan

The aim of this article is to investigate the well-posedness, stability and convergence of solutions to the time-dependent Maxwell's equations for electric field in conductive media in continuous and discrete settings. The situation we…

数值分析 · 数学 2023-12-21 Eric Lindström , Larisa Beilina

The phenomenon of orbital relaxation upon excitation of core electrons is a major problem in the linear-response treatment of core-hole spectroscopies. Rather than addressing relaxation through direct dynamical correlation of the excited…

化学物理 · 物理学 2025-03-26 Megan Simons , Devin A. Matthews

Constant potential method molecular dynamics simulation (CPM MD) enables the accurate modelling of atomistic electrode charges when studying the electrode-electrolyte interface at the nanoscale. Here we extend the theoretical framework of…

材料科学 · 物理学 2023-05-26 Shern Ren Tee , Debra J. Searles

We develop a theoretical predictive model for an all-pass ring resonator that enables the most complete description of linear coupling regimes. The model is based on eigenmode decomposition of Maxwell's equations with full account of the…

Maxwell-Garnett Theory (MGT), Bruggeman Effective Medium Theory (BEMT), Coherent Model Approximation (CMA), Scaled Effective Medium Theory (ScEMT) and models of Schlomann (E. Schlomann, Phys. Rev. B, 182, 7, 632 (10 June 1969) and E.…

材料科学 · 物理学 2024-09-05 Rick L. Moore

It is known that there is a proportionality factor relating the $\beta$-function and the equations of motion viz. the Zamolodchikov metric. Usually this factor has to be obtained by other methods. The proper time equation, on the other…

高能物理 - 理论 · 物理学 2009-10-28 B. Sathiapalan

Magnetic resonance coupling (MRC) is widely used for wireless power transfer (WPT) applications, but little work has explored how MRC phenomena could be exploited for sensing applications. This paper introduces, validates and evaluates the…

系统与控制 · 电气工程与系统科学 2024-06-05 Robert R. Hughes , James Treisman , Alexis Hernandez Arroyo , Anthony J. Mulholland