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Starting from a general relativistic kinetic equation, a self-consistent mean-field equation for fermions is derived within a covariant density matrix approach of QED plasmas in strong external fields. A Schr\"odinger picture formulation on…

Quantum Physics · Physics 2007-05-23 A. Hoell , V. Morozov , G. Roepke

It is argued that the relativistic Vlasov--Maxwell equations of the kinetic theory of plasma approximately describe a relativistic system of $N$ charged point particles interacting with the electromagnetic Maxwell fields in a…

Plasma Physics · Physics 2020-08-12 Michael K. -H. Kiessling , Yves Elskens

We describe aspects of particle creation in strong fields using a quantum kinetic equation with a relaxation-time approximation to the collision term. The strong electric background field is determined by solving Maxwell's equation in…

Nuclear Theory · Physics 2007-05-23 A. V. Prozorkevich , D. V. Vinnik , S. M. Schmidt , M. B. Hecht , C. D. Roberts

The Kompaneets theory of photon kinetic evolution due to the Compton effect in the absence of absorption and emission is extended to the case of the Vlasov plasma wave oscillations. Under the assumption that the electron distribution…

Chaotic Dynamics · Physics 2015-11-26 G Erochenkova , Cristel Chandre

The Kompaneets theory of photon kinetic evolution due to the Compton effect is extended to the case of the Vlasov plasma wave oscillations. Taking into account Zel'dovich-Levich's approximation we study interaction of accumulating photons…

Chaotic Dynamics · Physics 2012-08-20 Galina Erochenkova , Cristel Chandre

A kinetic theory is developed to describe radiating electrons whose motion is governed by the Lorentz-Dirac equation. This gives rise to a generalized Vlasov equation coupled to an equation for the evolution of the physical submanifold of…

Mathematical Physics · Physics 2015-06-11 A. Noble , J. Gratus , D. A. Burton , D. A. Jaroszynski

The low-frequency limit of Maxwell equations is considered in the Maxwell-Vlasov system. This limit produces a neutral Vlasov system that captures essential features of plasma dynamics, while neglecting radiation effects. Euler-Poincar\'e…

Plasma Physics · Physics 2015-02-03 Cesare Tronci , Enrico Camporeale

A multispecies, collisionless plasma is modeled by the Vlasov-Poisson system. Assuming that the electric field decays with sufficient rapidity as $t \to\infty$, we show that the velocity characteristics and spatial averages of the particle…

Analysis of PDEs · Mathematics 2022-01-25 Stephen Pankavich

This paper makes use of a one-dimensional kinetic model to investigate the nonlinear longitudinal dynamics of electron beams generated in the plasma under the influence of a self-generated electric field. It is expressed as where is a wave…

Plasma Physics · Physics 2016-09-19 N. S. Stepanov , L. A. Zelekson

Based on the generic acceleration model, which suggests different types of electromagnetic interactions between the cosmic charged particles and the different configurations of the electromagnetic (plasma) fields, the ultra high energy…

High Energy Astrophysical Phenomena · Physics 2014-03-21 A. Tawfik , A. Saleh , M. T. Ghoneim , A. Hady

1.5D Vlasov-Maxwell simulations are employed to model electromagnetic emission generation in a fully self-consistent plasma kinetic model for the first time in the solar physics context. The simulations mimic the plasma emission mechanism…

Solar and Stellar Astrophysics · Physics 2010-12-16 David Tsiklauri

A nonlinear kinetic equation for nonrelativistic quantum plasma with electromagnetic interaction of particles is obtained in the Hartree's mean-field approximation. It is cast in a convenient form of Vlasov-Boltzmann-type equation with…

Plasma Physics · Physics 2011-11-30 Y. O. Tyshetskiy , S. V. Vladimirov , R. Kompaneets

Solutions of the linearized Vlasov-Poisson equations for the electric field radiated by a time varying point charge in a three-dimensional, unbounded, spatially homogeneous plasma with a uniform background magnetic field and a uniform…

Plasma Physics · Physics 2015-06-04 John J. Podesta

We analyse a reduced 1D Vlasov--Maxwell system introduced recently in the physical literature for studying laser-plasma interaction. This system can be seen as a standard Vlasov equation in which the field is split in two terms: an…

Analysis of PDEs · Mathematics 2016-08-16 José A. Carrillo , Simon Labrunie

We develop a consistent quantum description of surface plasmons interacting with quantum emitters and external electromagnetic field. Within the framework of macroscopic electrodynamics in dispersive and absorptive medium, we derive, in the…

Mesoscale and Nanoscale Physics · Physics 2021-01-21 Tigran V. Shahbazyan

We have considered linear kinetic theory including the electron spin properties in a magnetized plasma. The starting point is a mean field Vlasov-like equation, derived from a fully quantum mechanical treatment, where effects from the…

Plasma Physics · Physics 2010-11-10 Joakim Lundin , Gert Brodin

We introduce a simplified model of the electron-beam/plasma system to model the electrical breakdown caused by the inductive electric field created by a rapidly rising electron beam current. The rigid-beam model is a reduction to the…

Plasma Physics · Physics 2021-03-05 S. B. Swanekamp , A. S. Richardson , Tz. B. Petrova , P. E. Adamson

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

The interaction of partially ionized plasmas with an electromagnetic field is investigated using quantum statistical methods. A general statistical expression for the current density of a plasma in an electromagnetic field is presented and…

Statistical Mechanics · Physics 2009-11-11 Dietrich Kremp , Dirk Semkat , Thomas Bornath , Michael Bonitz , Manfred Schlanges , Paul Hilse

In strong electromagnetic fields, unique plasma phenomena and applications emerge, whose description requires recently developed theories and simulations [Y. Shi, Ph.D. thesis, Princeton University (2018)]. In the classical regime, to…

Plasma Physics · Physics 2021-04-21 Yuan Shi , Hong Qin , Nathaniel J. Fisch
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