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We explore the nonlinear response of plasmonic materials driven by ultrashort pulses of electromagnetic radiation with temporal duration of few femtoseconds and high peak intensity. By developing the Fokker-Planck-Landau theory of electron…

Optics · Physics 2018-08-14 Andrea Marini , Alessandro Ciattoni , Claudio Conti

In this paper we consider an abstract Cauchy problem for a Maxwell system modelling electromagnetic fields in the presence of an interface between optical media. The electric polarization is in general time-delayed and nonlinear, turning…

Analysis of PDEs · Mathematics 2023-11-21 Tomáš Dohnal , Mathias Ionescu-Tira , Marcus Waurick

Straightforward method for the derivation of linearized version of stochastic stability analysis of the nonlinear differential equations is presented. Methods for the study of large time behavior of the moments are exposed. These general…

Mathematical Physics · Physics 2012-12-07 Gyorgy Steinbrecher , Xavier Garbet

The asymptotic properties at future null infinity of the solutions of the relativistic Vlasov-Maxwell system whose global existence for small data has been established by the author in a previous work are investigated. These solutions…

Mathematical Physics · Physics 2015-06-26 Simone Calogero

This paper deals with a one-dimensional wave equation with a nonlinear dynamic boundary condition and a Neumann-type boundary control acting on the other extremity. We consider a class of nonlinear stabilizing feedbacks that only depend on…

Analysis of PDEs · Mathematics 2022-08-31 Nicolas Vanspranghe , Francesco Ferrante , Christophe Prieur

Plasma accelerators can sustain very high acceleration gradients. They are promising candidates for future generations of particle accelerators for several scientific, medical and technological applications. Current plasma based…

Plasma Physics · Physics 2020-07-15 J. Vieira , R. A. Fonseca , L. O. Silva

The conditions for the existence of negative-energy perturbations (which could be nonlinearly unstable and cause anomalous transport) are investigated in the framework of linearized collisionless Maxwell-drift kinetic theory for the case of…

plasm-ph · Physics 2009-10-30 G. N. Throumoulopoulos , D. Pfirsch

The nonlinear coupling between the light beams and non-resonant ion density perturbations in a plasma is considered, taking into account the relativistic particle mass increase and the light beam ponderomotive force. A pair of equations…

Pattern Formation and Solitons · Physics 2009-11-07 P. K. Shukla , R. Fedele , M. Onorato , N. L. Tsintsadze

A theoretical analysis for astrophysics-oriented laser-matter interaction experiments in the presence of a strong ambient magnetic field is presented. It is shown that the plasma collision in the ambient magnetic field implies significant…

Plasma Physics · Physics 2015-06-18 Philipp Korneev , Emmanuel d'Humières , Vladimir Tikhonchuk

The present paper reviews recent advances in the theory of nonlinear driven magnetohydrodynamic (MHD) waves in slow and Alfven resonant layers. Simple estimations show that in the vicinity of resonant positions the amplitude of variables…

Solar and Stellar Astrophysics · Physics 2015-05-20 Istvan Ballai , Michael Ruderman

By means of a Madelung decomposition, exact periodic traveling solutions are constructed for a modified nonlinear Schrodinger equation derived by Stenflo and Gradov, describing electrostatic surface waves in semi-infinite plasma. The…

Plasma Physics · Physics 2015-05-14 F. Haas , P. K. Shukla

The effect of small deviations from a Maxwellian equilibrium on turbulent momentum transport in tokamak plasmas is considered. These non-Maxwellian features, arising from diamagnetic effects, introduce a strong dependence of the radial flux…

Plasma Physics · Physics 2013-08-09 M. Barnes , F. I. Parra , J. P. Lee , E. A. Belli , M. F. F. Nave , A. E. White

The amplitude equation for an unstable electrostatic wave in a multi-species Vlasov plasma has been derived. The dynamics of the mode amplitude $\rho(t)$ is studied using an expansion in $\rho$; in particular, in the limit…

patt-sol · Physics 2009-10-30 John David Crawford , Anandhan Jayaraman

The instability of a monoenergetic electron beam in a collisional one-dimensional plasma bounded between grounded walls is considered both analytically and numerically. Collisions between electrons and neutrals are accounted for the plasma…

Plasma Physics · Physics 2017-01-04 Dmytro Sydorenko , Igor D. Kaganovich , Peter L. G. Vetzek

The nonlocal electrodynamics of accelerated systems is discussed in connection with the development of Lorentz-invariant nonlocal field equations. Nonlocal Maxwell's equations are presented explicitly for certain linearly accelerated…

High Energy Physics - Theory · Physics 2009-11-10 Bahram Mashhoon

This article deals with rotating magnetohydrodynamic flows of a thin stratified layer of astrophysical plasma in a gravitational field with a free-surface in a vertical external magnetic field. Magnetohydrodynamic equations are obtained in…

Plasma Physics · Physics 2019-07-02 Maria Fedotova , Dmitry Klimachkov , Arakel Petrosyan

We undertake an investigation of particle acceleration in the context of non-linear electrodynamics. We deduce the maximum energy that an electron can gain in a non-linear density wave in a magnetised plasma, and we show that an electron…

High Energy Physics - Theory · Physics 2015-04-21 David A. Burton , Stephen P. Flood , Haibao Wen

In this paper we study the non-relativistic dynamic of a charged particle in the electromagnetic field induced by a periodically time dependent current J along an infinitely long and infinitely thin straight wire. The motions are described…

Mathematical Physics · Physics 2022-07-27 Manuel Garzón , Stefano Marò

We prove that the Debye screening length emerges in a spatially homogeneous plasma described by the nonlinear Vlasov-Poisson equation interacting with a point charge. While screened stationary states as well as the time-dependent problem…

Analysis of PDEs · Mathematics 2020-12-01 Adolfo Arroyo-Rabasa , Raphael Winter

Eulerian electrostatic kinetic simulations of unmagnetized plasmas (kinetic electrons and motionless protons) with high-frequency equilibrium perturbations have been employed to investigate the phase space free energy transfer across…

Plasma Physics · Physics 2023-10-12 G. Celebre , S. Servidio , F. Valentini