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Related papers: A counterexample against the Vlasov equation

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The Radiative Vlasov-Maxwell equations model the radiative kinetics of collisionless relativistic plasma. In them the Lorentz force is modified by the addition of radiation reaction forces. The radiation forces produce damping of particle…

Analysis of PDEs · Mathematics 2025-07-15 Peter Constantin , Hezekiah Grayer

The relativistic Vlasov-Maxwell system describes the evolution of a collisionless plasma. The problem of linear instability of this system is considered in two physical settings: the so-called "one and one-half" dimensional case, and the…

Analysis of PDEs · Mathematics 2015-05-22 Jonathan Ben-Artzi , Thomas Holding

We investigate the propagation of electromagnetic waves in resistive pair plasmas using a onefluid theory derived from the relativistic two-fluid equations. When the resistivity normalized by the electron/positron inertia variable exceeds a…

Plasma Physics · Physics 2009-11-13 Shinji Koide

We consider the forced motion of a relativistic particle constrained on a curve and present sufficient conditions for periodic oscillations by means of an illustrative geometrical approach. Obtained result is illustrated by a few examples…

Dynamical Systems · Mathematics 2015-08-11 Ivan Polekhin

When waves damp or amplify on resonant particles in a plasma, the nonresonant particles experience a recoil force that conserves the total momentum between the particles and electromagnetic fields. This force is important to understand, as…

Plasma Physics · Physics 2023-02-23 I. E. Ochs , N. J. Fisch

The problem of the backreaction during the process of electron-positron pair production by a circularly polarized electromagnetic wave propagating in a plasma is investigated. A model based on the relativistic Boltzmann-Vlasov equation with…

High Energy Physics - Phenomenology · Physics 2016-09-06 S. S. Bulanov , A. M. Fedotov , F. Pegoraro

We study nonlinear waves in a nonrelativistic ideal and cold quark gluon plasma immersed in a strong uniform magnetic field. In the context of nonrelativistic hydrodynamics with an external magnetic field we derive a nonlinear wave equation…

Nuclear Theory · Physics 2018-07-10 D. A. Fogaça , S. M. Sanches , F. S. Navarra

The perturbations of a homogeneous non-relativistic two-component plasma are studied in the Coulomb gauge. Starting from the solution found [2] of the equations of electromagnetic self consistency in a plasma [1], we add small perturbations…

Plasma Physics · Physics 2007-05-23 Evangelos Chaliasos

``The plasma approximation'' is, in the words of Pauli, ``not even wrong,'' as it expresses a disbelief in the symmetries of the underlying gauge field theory. The electrostatic field in question is divergenceful yet has no sources or…

Plasma Physics · Physics 2008-06-04 Robert W. Johnson

Landau damping/growing at boundary condition of excitation of a harmonic wave in collisionless ion-electron-neutrals plasma contradicts to the law of energy conservation of a wave damping/growing in space. There is also no criterion of a…

General Physics · Physics 2015-09-11 V. N. Soshnikov

An Electromagnetic (EM) pulse falling on a plasma medium from vacuum can either reflect or propagate inside the plasma depending on whether it is overdense or underdense. In a magnetised plasma, however, there are usually several pass and…

Plasma Physics · Physics 2021-07-26 Devshree Mandal , Ayushi Vashistha , Amita Das

Stochastic solutions are obtained for the Maxwell-Vlasov equation in the approximation where magnetic field fluctuations are neglected and the electrostatic potential is used to compute the electric field. This is a reasonable approximation…

Plasma Physics · Physics 2015-05-13 R. Vilela Mendes

We describe an algorithm that computes the linear dispersion relation of waves and instabilities in relativistic plasmas within a Vlasov-Maxwell description. The method used is fully relativistic and involves explicit integration of…

Astrophysics · Physics 2009-11-13 J Petri , J G Kirk

Plane electromagnetic and gravitational waves interact with particles in such a way as to cause them to oscillate not only in the transverse direction but also along the direction of propagation. The electromagnetic case is usually shown by…

General Physics · Physics 2015-05-27 Gerald E. Marsh

We obtain an exact solution of the self-consistent relativistic magnetohydrodynamic equations for an anisotropic magnetoactive plasma in the background of a plane gravitational wave metric (PGW) with an arbitrary polarization. It is shown…

General Relativity and Quantum Cosmology · Physics 2015-05-27 A. A. Agathonov , Yu. G. Ignatyev

A rigorous and most general covariant kinetic formalism is developed to study the nonlinear waves interaction in relativistic Vlasov plasmas. The typical nonlinear plasma reaction is a nonlinear current measured by the nonlinear plasma…

Plasma Physics · Physics 2009-11-11 M. Lazar , R. Schlickeiser

For an electrostatic wave interacting with a single species in a collisionless plasma, momentum conservation implies current conservation. However, when multiple species interact with the wave, they can exchange momentum, leading to current…

Plasma Physics · Physics 2023-05-18 Ian E. Ochs , Nathaniel J. Fisch

Propagation of the finite amplitude electromagnetic wave through the partially spin-polarized degenerate plasmas leads to the instability. The instability happens at the interaction of the electromagnetic wave with the small frequency…

Plasma Physics · Physics 2023-08-02 Pavel A. Andreev

The kinetic damping mechanism of low frequency transverse perturbations propagating parallel to the magnetic field in a magnetized warm electron plasma is simulated by means of electromagnetic (EM) Vlasov simulations. The short-time-scale…

Plasma Physics · Physics 2022-10-26 Anjan Paul , Devendra Sharma

We consider the relativistic ion-acoustic mode in a plasma composed by cold ions and an ultra-degenerate electron gas, described the relativistic Vlasov-Poisson system. A critical examination of popular fluid models for relativistic…

Plasma Physics · Physics 2017-12-18 Fernando Haas