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Surface plasmons in 2-dimensional electron systems with narrow Bloch bands feature an interesting regime in which Landau damping (dissipation via electron-hole pair excitation) is completely quenched. This surprising behavior is made…

Mesoscale and Nanoscale Physics · Physics 2019-10-14 Cyprian Lewandowski , Leonid Levitov

Understanding and predicting interface diffusion phenomena in materials is crucial for various industrial applications, including semiconductor manufacturing, battery technology, and catalysis. In this study, we propose a novel approach…

Materials Science · Physics 2025-01-13 Zirui Zhao , Hai-Feng Li

Surface plasmons on metals can concentrate light into sub-nanometric volumes and on these near atomic length scales the electronic response at the metal interface is smeared out over a Thomas-Fermi screening length. This nonlocality is a…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Yu Luo , A. I. Fernandez-Dominguez , Aeneas Wiener , S. A. Maier , J. B. Pendry

A kinetic equation which combines the quasiparticle drift of Landau's equation with a dissipation governed by a nonlocal and noninstantaneous scattering integral in the spirit of Enskog corrections is discussed. Numerical values of the…

Nuclear Theory · Physics 2009-10-31 Klaus Morawetz , Pavel Lipavský , Václav Špička

Plasmonic gap structures are among the few configurations capable of generating extreme light confinement, finding applications in surface-enhanced spectroscopy, ultrasensitive detection, photocatalysis and more. Their plasmonic response…

Mesoscale and Nanoscale Physics · Physics 2025-02-21 Pu Zhang , Christos Tserkezis , N. Asger Mortensen

While Hyperbolic Graph Neural Network (HGNN) has recently emerged as a powerful tool dealing with hierarchical graph data, the limitations of scalability and efficiency hinder itself from generalizing to deep models. In this paper, by…

Machine Learning · Computer Science 2024-06-10 Jiaxu Liu , Xinping Yi , Sihao Wu , Xiangyu Yin , Tianle Zhang , Xiaowei Huang , Shi Jin

The nonlocal response of plasmonic materials and nanostructures is usually described within a hydrodynamic approach which is based on the Euler-Drude equation. In this work, we reconsider this approach within linear response theory and…

In this paper, we consider a class of discontinuous Galerkin (DG) methods for one-dimensional nonlocal diffusion (ND) problems. The nonlocal models, which are integral equations, are widely used in describing many physical phenomena with…

Numerical Analysis · Mathematics 2024-08-15 Qiang Du , Lili Ju , Jianfang Lu , Xiaochuan Tian

By using a non-local, quantum mechanical response function we study graphene plasmons in a one-dimensional superlattice (SL) potential $V_0 \cos G_0x$. The SL introduces a quantum energy scale $E_G \sim \hbar v_F G_0$ associated to…

Mesoscale and Nanoscale Physics · Physics 2020-06-25 Luis Brey , T. Stauber , L. Martín-Moreno , G. Gómez-Santos

The interaction between the electromagnetic field and plasmonic nanostructures leads to both the strong linear response and inherent nonlinear behavior. In this paper, a time-domain hydrodynamic model for describing the motion of electrons…

Optics · Physics 2017-09-19 Ming Fang , Zhixiang Huang , Wei E. I. Sha , Xianliang Wu

The lifetime of localized surface plasmon plays an important role in many aspects of plasmonics and its applications. In small metal nanostructures, the dominant mechanism restricting plasmon lifetime is size-dependent Landau damping. We…

Mesoscale and Nanoscale Physics · Physics 2016-10-18 A. S. Kirakosyan , M. I. Stockman , T. V. Shahbazyan

Classical electrodynamics describes the optical response of systems using bulk electronic properties and infinitesimally thin boundaries. However, due to the quantum nature of electrons, interfaces have a finite thickness. Non-classical…

Nonlocal neural networks have been proposed and shown to be effective in several computer vision tasks, where the nonlocal operations can directly capture long-range dependencies in the feature space. In this paper, we study the nature of…

Machine Learning · Computer Science 2019-01-28 Yunzhe Tao , Qi Sun , Qiang Du , Wei Liu

Spatial interaction effects between charge carriers in ionic systems play a sizable role beyond a classical Maxwellian description. We develop a nonlocal, two-fluid, hydrodynamic theory of charges and study ionic plasmon effects, i. e.…

Optics · Physics 2020-06-30 Christin David

This paper presents an analytical study of the oversmoothing issue in diffusion-based Graph Neural Networks (GNNs). Generalizing beyond extant approaches grounded in random walk analysis or particle systems, we approach this problem through…

Machine Learning · Computer Science 2025-03-25 Weichen Zhao , Chenguang Wang , Xinyan Wang , Congying Han , Tiande Guo , Tianshu Yu

We present a numerical approach for the solution of electromagnetic scattering from a dielectric cylinder partially covered with graphene. It is based on a classical Fourier-Bessel expansion of the fields inside and outside the cylinder to…

Optics · Physics 2025-03-07 Youssef Jeyar , Mauro Antezza , Brahim Guizal

It is shown that partial incoherence, in the form of stochastic phase noise, of a Langmuir wave in an unmagnetized plasma gives rise to a Landau-type damping. Starting from the Zakharov equations, which describe the nonlinear interaction…

Chaotic Dynamics · Physics 2009-11-07 R. Fedele , P. K. Shukla , M. Onorato , D. Anderson , M. Lisak

Many processes in cell biology involve diffusion in a domain $\Omega$ that contains a target $\calU$ whose boundary $\partial \calU$ is a chemically reactive surface. Such a target could represent a single reactive molecule, an…

Statistical Mechanics · Physics 2022-01-06 Paul C. Bressloff

On the basis of the approximate dynamical equations describing the behavior of quark-gluon plasma (QGP) in the semiclassical limit and Yang-Mills equation, the kinetic equation for longitudinal waves (plasmons) is obtained. With the Ward…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yu. A. Markov , M. A. Markova

Bosonic collective modes are ubiquitous in metals, but over a wide range of energy and momenta suffer from Landau damping, decaying into the continuum of particle-hole excitations. Here we point out that interactions can suppress this…

Strongly Correlated Electrons · Physics 2024-03-20 Xuepeng Wang , Roderich Moessner , Debanjan Chowdhury