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We found the analytical solution to the problem of the skin effect for Maxwell plasma with the use of the kinetic equation, where the frequency of electron collisions is constant. We use the specular reflection of electrons from the surface…

Mathematical Physics · Physics 2015-05-13 Y. F. Alabina , A. V. Latyshev , A. A. Yushkanov

A problem of the skin effect in the Maxwell plasma is solved analytically by the method of expansion in eigenfunctions based on the Vlasov-Maxwell kinetic equation with a self-consistent electric field. Specular electron reflection from the…

Mathematical Physics · Physics 2015-05-14 Yu. F. Alabina , A. V. Latyshev , A. A. Yushkanov

The analytical method of solving the boundary problems for a system of equations describing the behaviour of electrons and an electric field in the Maxwell plasma half-space is developed. Here the diffusion reflection of electrons from the…

Mathematical Physics · Physics 2010-01-20 Yu. F. Alabina , A. V. Latyshev , A. A. Yushkanov

The influence of electromagnetic skin effect on anomalous charged particle transport in dense, non-relativistic, collisionless plasma with a small-scale turbulent magnetic field was investigated using quasi-linear kinetic equations, through…

Plasma Physics · Physics 2025-12-11 N. A. Emelyanov , Vl. V. Kocharovsky

The boundary problem about behavior (oscillations) of the electronic plasmas with arbitrary degree of degeneration of electronic gas in half-space with specular boundary conditions is analytically solved. The kinetic equation of…

Plasma Physics · Physics 2017-03-07 A. V. Latyshev , S. Sh. Suleymanova

The structure of the electric field in a plasma has been elucidated for the skin effect problem. An expression for the distribution function in the half-space and the electric field profile have been obtained in the explicit form. The…

Mathematical Physics · Physics 2009-04-13 Yulia F. Alabina

The linearized problem of plasma oscillations in layer (particularly, in thin films) in external longitudinal alternating electric field is solved analytically. Specular - accommodative boundary conditions of electron reflection from the…

Mathematical Physics · Physics 2011-04-12 A. V. Latyshev , A. A. Yushkanov

We study the skin effect in a one-dimensional system of finitely many subwavelength resonators with a non-Hermitian imaginary gauge potential. Using Toeplitz matrix theory, we prove the condensation of bulk eigenmodes at one of the edges of…

Analysis of PDEs · Mathematics 2023-06-28 Habib Ammari , Silvio Barandun , Jinghao Cao , Bryn Davies , Erik Orvehed Hiltunen

The skin effect has been discovered in non-Hermitian Hamiltonian systems where all the eigenstates have their amplitudes concentrating to the open boundaries of the systems and decaying exponentially into the bulk. Later, certain open…

Quantum Physics · Physics 2022-10-05 Ziheng Zhou , Zhenhua Yu

Radio frequency waves do not penetrate into a plasma and are damped within it. The electric field of the wave and plasma current are concentrated near the plasma boundary in a skin layer. Electrons can transport the plasma current away from…

Plasma Physics · Physics 2009-11-11 Igor D. Kaganovich , Oleg V. Polomarov , Constantine E. Theodosiou

The skin effect is analyzed to provide the numerous measurements of the penetration depth of the electromagnetic field in superconducting materials with a theoretical basis. Both the normal and anomalous skin effects are accounted for…

Superconductivity · Physics 2017-12-15 Jacob Szeftel , Nicolas Sandeau , Antoine Khater

Non-Hermitian skin effect denotes the exponential localization of a large number of eigen-states in a non-Hermitian lattice under open boundary conditions. Such a non-Hermiticity-induced skin effect can offset the penetration depth of…

Optics · Physics 2021-11-17 Qinghui Yan , Hongsheng Chen , Yihao Yang

An accurate modeling of skin effect inside conductors is of capital importance to solve transmission line and scattering problems. This paper presents a surface-based formulation to model skin effect in conductors of arbitrary cross…

Computational Engineering, Finance, and Science · Computer Science 2016-11-03 Utkarsh R. Patel , Piero Triverio

We consider the equations of electromagnetism set on a domain made of a dielectric and a conductor subdomain in a regime where the conductivity is large. Assuming smoothness for the dielectric--conductor interface, relying on recent works…

Analysis of PDEs · Mathematics 2022-07-28 Gabriel Caloz , Monique Dauge , Erwan Faou , Victor Péron

In the present paper the linearized problem of plasma oscillations in slab (particularly, thin films) in external longitudinal alternating electric field is solved analytically. Specular boundary conditions of electron reflection from the…

Mathematical Physics · Physics 2011-03-22 A. V. Latyshev , A. A. Yushkanov

We derive and implement a suitable boundary condition for the kinetic description of the electrons inside a plasma, which takes into account microphysical processes inside the wall. It is based on the surface scattering kernel, which…

Plasma Physics · Physics 2025-11-26 Felix Willert , Clemens Hoyer , Gordon K. Grubert , Franz X. Bronold

We analyze impacts of crystalline symmetry on the non-Hermitian skin effects. Focusing on mirror symmetry, we propose a novel type of skin effects, a mirror skin effect, which results in significant dependence of energy spectrum on the…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Tsuneya Yoshida , Tomonari Mizoguchi , Yasuhiro Hatsugai

In the field of dissipative systems, the non-Hermitian skin effect has generated significant interest due to its unexpected implications. A system is said to exhibit a skin effect if its properties are largely affected by the boundary…

Quantum Physics · Physics 2025-04-14 Antonio Sannia , Gian Luca Giorgi , Stefano Longhi , Roberta Zambrini

For the first time it is shown that for thin metallic films thickness of which does not exceed thickness of skin - layer, the problem of description of surface plasma oscillations allows analytical solution under arbitrary ratio of length…

Mathematical Physics · Physics 2010-12-14 A. V. Latyshev , A. A. Yushkanov

The interplay between dissipation, topology and sensitivity to boundary conditions has recently attracted tremendous amounts of attention at the level of effective non-Hermitian descriptions. Here we exactly solve a quantum mechanical…

Quantum Physics · Physics 2022-06-07 Fan Yang , Qing-Dong Jiang , Emil J. Bergholtz
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