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The generalised hydrodynamic theory of an electron gas, which does not rely on an assumption of a local equilibrium, is derived as the long-wave limit of a kinetic equation. Apart from the common hydrodynamics variables the theory includes…

Soft Condensed Matter · Physics 2009-10-31 I. Tokatly , O. Pankratov

Generalized hydrodynamic theory, which does not rest on the requirement of a local equilibrium, is derived in the long-wave limit of a kinetic equation. The theory bridges the whole frequency range between the quasistatic (Navier-Stokes)…

Soft Condensed Matter · Physics 2009-10-31 I. V. Tokatly , O. Pankratov

A great deal of theoretical and experimental efforts have been devoted in the last decades to the study of long-wavelength photodetection mechanisms in field-effect transistors hosting two-dimensional (2D) electron systems. A particularly…

Mesoscale and Nanoscale Physics · Physics 2019-02-13 Alessandro Principi , Denis Bandurin , Habib Rostami , Marco Polini

We present a rigorous spectral analysis of plasmonic resonances in the nonlocal regime of spatially dispersive media. We adopt the quasi-static approximation of the hydrodynamic Drude model, which provides an analytically tractable setting…

Analysis of PDEs · Mathematics 2026-04-21 Hyundae Lee , Matias Ruiz , Sanghyeon Yu

This work is concerned with our recently developed formalism of non-equilibrium thermodynamics. This formalism extends the classical irreversible thermodynamics which leads to classical thermodynamics and can not describe physical phenomena…

Analysis of PDEs · Mathematics 2018-09-06 Zaibao Yang , Wen-An Yong , Yi Zhu

For electron transport in parallel-plane semiconducting structures, a model is developed that unifies ballistic and diffusive transport and thus generalizes the Drude model. The unified model is valid for arbitrary magnitude of the mean…

Materials Science · Physics 2009-11-07 R. Lipperheide , T. Weis , U. Wille

A general relation is derived between the linear and second-order nonlinear ac conductivities of an electron system in the hydrodynamic regime of frequencies below the interparticle scattering rate. The magnitude and tensorial structure of…

Other Condensed Matter · Physics 2018-03-20 Zhiyuan Sun , D. N. Basov , M. M. Fogler

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

We study the nonlocal response of a confined electron gas within the hydrodynamical Drude model. We address the question whether plasmonic nanostructures exhibit nonlocal resonances that have no counterpart in the local-response Drude…

Mesoscale and Nanoscale Physics · Physics 2011-09-30 Søren Raza , Giuseppe Toscano , Antti-Pekka Jauho , Martijn Wubs , N. Asger Mortensen

Metallic nanostructures exhibit a multitude of optical resonances associated with localized surface plasmon excitations. Recent observations of plasmonic phenomena at the sub-nanometer to atomic scale have stimulated the development of…

Mesoscale and Nanoscale Physics · Physics 2014-05-05 N. Asger Mortensen , Søren Raza , Martijn Wubs , Thomas Søndergaard , Sergey I. Bozhevolnyi

Nonlocal effects have been shown to be responsible for a variety of non-trivial optical effects in small-size plasmonic nanoparticles, beyond classical electrodynamics. However, it is not clear whether optical mode descriptions can be…

Our conventional understanding of optical responses in metals has been based on the Drude theory. In recent years, however, it has become possible to prepare ultrapure metallic samples where the electron-electron scattering becomes the most…

Mesoscale and Nanoscale Physics · Physics 2019-10-04 Riki Toshio , Kazuaki Takasan , Norio Kawakami

Quantum effects of plasmonic phenomena have been explored through ab-initio studies, but only for exceedingly small metallic nanostructures, leaving most experimentally relevant structures too large to handle. We propose instead an…

Mesoscale and Nanoscale Physics · Physics 2015-09-24 Wei Yan , Martijn Wubs , N. Asger Mortensen

The nonlocal electrodynamics of uniformly rotating systems is presented and its predictions are discussed. In this case, due to paucity of experimental data, the nonlocal theory cannot be directly confronted with observation at present. The…

High Energy Physics - Theory · Physics 2010-11-19 Bahram Mashhoon

We investigate a fundamental electromagnetic theorem, namely the uniqueness theorem, in the context of nonlocal electromagnetics, as simulated by a popular semiclassical model, the Hydrodynamic Drude Model (HDM) and extensions thereof such…

Historically, the field of plasmonics has been relying on the framework of classical electrodynamics, with the local-response approximation of material response being applied even when dealing with nanoscale metallic structures. However,…

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

We outline a general formalism of hydrodynamics for quantum systems with multiple particle species which undergo completely elastic scattering. In the thermodynamic limit, the complete kinematic data of the problem consists of the particle…

Statistical Mechanics · Physics 2017-09-06 Enej Ilievski , Jacopo De Nardis

A self-consistent theory for the classical description of the interaction of light and matter at the nano-scale is presented, which takes into account spatial dispersion. Up to now, the Maxwell equations in nanostructured materials with…

Optics · Physics 2020-10-07 J. V. Alvarez , Bahram Djafari-Rouhani , Dani Torrent

In order to extend the limits of classical theory application in the microworld some weak generalization of Maxwell electrodynamics is suggested. It is shown that slightly generalized classical Maxwell electrodynamics can describe the…

High Energy Physics - Theory · Physics 2007-05-23 V. M. Simulik , I. Yu. Krivsky
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