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Related papers: Generalized Elastodynamic Model for Nanophotonics

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Classical electromagnetic boundary conditions (EMBCs) fail to describe quantum interface phenomena at nanoscale. Here, we construct the interface model with a transition layer describing the electromagnetic field inhomogeneity across the…

Optics · Physics 2022-02-22 Yucheng Lai , Zhaona Wang

We study step-wise time approximations of non-linear hyperbolic initial value problems. The technique used here is a generalization of the minimizing movements method, using two time-scales: one for velocity, the other (potentially much…

Numerical Analysis · Mathematics 2024-04-05 Antonín Češík , Sebastian Schwarzacher

Understanding the behavior of biomolecules such as proteins requires understanding the critical influence of the surrounding fluid (solvent) environment--water with mobile salt ions such as sodium. Unfortunately, for many studies, fully…

Soft Condensed Matter · Physics 2015-05-27 J. P. Bardhan , D. A. Tejani , N. S. Wieckowski , A. Ramaswamy , M. G. Knepley

Consider the wave propagation in a two-layered medium consisting of a homogeneous compressible air or fluid on top of a homogeneous isotropic elastic solid. The interface between the two layers is assumed to be an unbounded rough surface.…

Analysis of PDEs · Mathematics 2016-08-22 Yixian Gao , Peijun Li , Bo Zhang

A process-theoretic approach to electrodynamics based on persistent Kac-type stochastic processes is developed. Finite-velocity stochastic propagation is taken as primary, while relativistic wave equations arise as emergent descriptions…

Quantum Physics · Physics 2026-05-26 Partha Ghose

Localized surface plasmons are charge density oscillations confined to metallic nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an incident wavelength where resonance occurs results in a strong light…

Analysis of PDEs · Mathematics 2015-06-03 Habib Ammari , Pierre Millien , Matias Ruiz , Hai Zhang

In this paper, we consider a free boundary problem of the incompressible elatodynamics, a coupling system of the Euler equations for the fluid motion with a transport equation for the deformation tensor. Under a natural force balance law on…

Analysis of PDEs · Mathematics 2021-12-16 Xumin Gu , Zhen Lei

We present an analytical description of the nonlocal optical response of plasmonic nanowire metamaterials that enable negative refraction, subwavelength light manipulation, and emission lifetime engineering. We show that dispersion of…

Optics · Physics 2014-01-13 Brian M. Wells , Anatoly V. Zayats , Viktor A. Podolskiy

Light-matter interaction processes are significantly affected by surrounding electromagnetic environment. Dielectric materials are usually introduced into an interaction picture via their classical properties, e.g. permittivity, appearing…

Optics · Physics 2017-12-12 Alexey S. Kadochkin , Alexander S. Shalin , Pavel Ginzburg

We consider a nonlinear, free boundary fluid-structure interaction model in a bounded domain. The viscous incompressible fluid interacts with a nonlinear elastic body on the common boundary via the velocity and stress matching conditions.…

Analysis of PDEs · Mathematics 2018-02-05 Yizhao Qin , Pengfei Yao

This paper summarizes the motivations and results obtained so far in the frame of a particular non-linearization of Classical Electrodynamics, which was called Extended Electrodynamics. The main purpose pursued with this non-linear…

patt-sol · Physics 2007-05-23 Stoil Donev

The dynamical equations of an electromagnetic field coupled with a conducting material are studied. The properties of the interaction are described by a classical field theory with tensorial material laws in space-time geometry. We show…

Superconductivity · Physics 2009-11-11 A Badia-Majos , J F Cariñena , C Lopez

In tiny metallic nanostructures, quantum confinement and nonlocal response change the collective plasmonic behavior with important consequences for e.g. field-enhancement and extinction cross sections. We report on our most recent…

Optics · Physics 2012-09-07 N. A. Mortensen , G. Toscano , S. Raza , N. Stenger , W. Yan , A. -P. Jauho , S. Xiao , M. Wubs

Solving the challenging problem of the amplification and generation of an electromagnetic field in nanostructures enables to implement many properties of the electromagnetic field at the nanoscale in novel practical applications. A…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 A. A. Zyablovsky , E. S. Andrianov , I. A. Nechepurenko , A. V. Dorofeenko , A. A. Pukhov , A. P. Vinogradov

The modeling of the elastic properties of disordered or nanoscale solids requires the foundations of the theory of elasticity to be revisited, as one explores scales at which this theory may no longer hold. The only cases for which…

Materials Science · Physics 2007-05-23 I. Goldhirsch , C. Goldenberg

Within the framework of continuum mechanics, the full description Of joint motion of elastic bodies and compressible viscous fluids with taking into account thermal effects is given by the system consisting of the mass, momentum, and energy…

Analysis of PDEs · Mathematics 2007-05-23 Anvarbek M. Meirmanov , Sergei A. Sazhenkov

A new computational method is presented for study suspensions of charged soft particles undergoing fluctuating hydrodynamic and electrostatic interactions. The proposed model is appropriate for polymers, proteins and porous particles…

Soft Condensed Matter · Physics 2015-04-14 Juan P. Hernandez-Ortiz , Juan J. de Pablo

This paper examines the Maxwell system of electrodynamics within the framework of distributions. A primary objective is to establish boundary conditions for fields at interfaces when the charge and current densities are measures localized…

Analysis of PDEs · Mathematics 2025-07-21 Cristian E. Gutiérrez , Ahmad Sabra

This paper presents a theory for the behaviour of isotropic-hardening/softening elastoplastic materials that do not have a preferred reference configuration. In spite of important differences, many ingredients of classical plasticity are…

Mathematical Physics · Physics 2011-01-11 José Jorge Nader

The interaction between a viscous fluid and an elastic solid is modeled by a system of parabolic and hyperbolic equations, coupled to one another along the moving material interface through the continuity of the velocity and traction…

Analysis of PDEs · Mathematics 2009-11-11 Daniel Coutand , Steve Shkoller