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An important physical model describing the dynamics of dilute weakly ionized plasmas in the collisional kinetic theory is the Vlasov-Poisson-Boltzmann system for which the plasma responds strongly to the self-consistent electrostatic force.…

Analysis of PDEs · Mathematics 2012-03-20 Renjun Duan , Tong Yang , Huijiang Zhao

We present a numerical model and a set of conservative algorithms for Non-Maxwellian plasma kinetics with inelastic collisions. These algorithms self-consistently solve for the time evolution of an isotropic electron energy distribution…

Plasma Physics · Physics 2017-12-12 H. P. Le , J. -L. Cambier

Astrophysical shocks or bursts from a photoionizing source can disturb the typical collisional plasma found in galactic interstellar media or the intergalactic medium. The spectrum emitted by this plasma contains diagnostics that have been…

High Energy Astrophysical Phenomena · Physics 2015-05-19 Randall K. Smith , John P. Hughes

Results are presented of a first study of collisionless magnetic reconnection starting from a recently found exact nonlinear force-free Vlasov-Maxwell equilibrium. The initial state has a Harris sheet magnetic field profile in one direction…

Solar and Stellar Astrophysics · Physics 2016-03-23 Fiona Wilson , Thomas Neukirch , Michael Hesse , Michael G. Harrison , Craig R. Stark

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

The physical mechanism responsible for driving accretion flows in astrophysical accretion disks is commonly thought to be related to the development of plasma instabilities and turbulence. A key question is therefore the determination of…

High Energy Astrophysical Phenomena · Physics 2015-06-03 C. Cremaschini , J. C. Miller , M. Tessarotto

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

Context. Magnetized plasmas characterized by shearing flows are present in many natural contexts, such as the Earth's magnetopause and the solar wind. The collisionless nature of involved plasmas requires a kinetic description. When the…

Plasma Physics · Physics 2021-01-27 Giovanni Guzzi , Adriana Settino , Francesco Valentini , Francesco Malara

The kinetic description of relativistic plasmas in the presence of time-varying and spatially non-uniform electromagnetic fields is a fundamental theoretical issue both in astrophysics and plasma physics. This refers, in particular, to the…

High Energy Astrophysical Phenomena · Physics 2023-06-21 Claudio Cremaschini , Massimo Tessarotto , Zdeněk Stuchlík

The tangential layers are characterized by a bulk plasma velocity and a magnetic field that are perpendicular to the gradient direction. They have been extensively described in the frame of the Magneto-Hydro-Dynamic (MHD) theory. But the…

Space Physics · Physics 2009-11-10 Fabrice Mottez

For plasma velocity space instabilities driven by particle distributions significantly deviated from a Maxwellian, weak collisions can damp the instabilities by an amount that is significantly beyond the collisional rate itself. This is…

Plasma Physics · Physics 2023-03-15 Yanzeng Zhang , Xian-Zhu Tang

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

Collisionless plasmas, such as those encountered in tokamaks, exhibit a rich variety of instabilities. The physical origin, triggering mechanisms and fundamental understanding of many plasma instabilities, however, are still open problems.…

Plasma Physics · Physics 2015-06-22 Valeria Ratushnaya , Ravi Samtaney

The correct modelling of velocity distribution functions for particles in steady-state plasmas is a central element in the study of nuclear fusion and also in the description of space plasmas. In this work, a statistical mechanical…

Statistical Mechanics · Physics 2019-09-04 Sergio Davis , Gonzalo Avaria , Biswajit Bora , Jalaj Jain , José Moreno , Cristian Pavez , Leopoldo Soto

A collisionless plasma is modeled by the Vlasov-Poisson system in one dimension. We consider the situation in which mobile negative ions balance a fixed background of positive charge, which is independent of space and time, as x tends to…

Analysis of PDEs · Mathematics 2010-03-01 Stephen Pankavich

Relativistic plasmas are central to the study of black hole accretion, jet physics, neutron star mergers, and compact object magnetospheres. Despite the need to accurately capture the dynamics of these plasmas and the implications for…

High Energy Astrophysical Phenomena · Physics 2022-07-20 Elias R. Most , Jorge Noronha , Alexander A. Philippov

A parallel, relativistic, three-dimensional particle-in-cell code SPACE has been developed for the simulation of electromagnetic fields, relativistic particle beams, and plasmas. In addition to the standard second-order Particle-in-Cell…

Computational Physics · Physics 2022-05-25 Kwangmin Yu , Prabhat Kumar , Shaohua Yuan , Aiqi Cheng , Roman Samulyak

The conditions for the existence of force-free non-relativistic translationally invariant one-dimensional (1D) Vlasov-Maxwell (VM) equilibria are investigated using general properties of the 1D VM equilibrium problem. As has been shown…

Plasma Physics · Physics 2009-02-25 Michael G. Harrison , Thomas Neukirch

We consider the 1/2-dimensional relativistic Vlasov-Maxwell system that describes the time-evolution of a plasma. We find a relatively simple criterion for spectral instability of a wide class of equilibria. This class includes…

Analysis of PDEs · Mathematics 2015-05-28 Jonathan Ben-Artzi

Two fundamental models in plasma physics are given by the Vlasov-Maxwell-Boltzmann system and the compressible Euler-Maxwell system which both capture the complex dynamics of plasmas under the self-consistent electromagnetic interactions at…

Analysis of PDEs · Mathematics 2023-06-02 Renjun Duan , Dongcheng Yang , Hongjun Yu