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In this work two important models of treating collisional absorption in a laser driven plasma are compared, the dielectric and the ballistic model. We will see that there exists a remarkable connection between these basic approaches which…

Plasma Physics · Physics 2015-06-26 R. Schneider

The 2d one component gas of pointlike charges in a uniform neutralizing background interacting with a logarithmic potential is a common model for plasmas. In its classical equilibrium statistics at fixed temperature (canonical ensemble) it…

Mathematical Physics · Physics 2013-02-15 Timothy D. Andersen

A simple similarity has been proposed for kinetic (e.g., particle-in-cell) simulations of plasma transport that can effectively address the longstanding challenge of reconciling the tiny Debye length with the vast system size. This applies…

Plasma Physics · Physics 2025-04-17 Yanzeng Zhang , Haotian Mao , Yuzhi Li , Xian-Zhu Tang

The weak turbulence model, also known as the quasilinear theory in plasma physics, has been a cornerstone in modeling resonant particle-wave interactions in plasmas. This reduced model stems from the Vlasov-Poisson/Maxwell system under the…

Analysis of PDEs · Mathematics 2024-11-14 Kun Huang , Irene M. Gamba

Concepts underlying the Enskog kinetic theory of hard-spheres are applied to include short-range correlation effects in a model for transport coefficients of strongly coupled plasmas. The approach is based on an extension of the effective…

Plasma Physics · Physics 2015-06-11 Scott D. Baalrud , Jerome Daligault

We derive relativistic resistive magnetohydrodynamics for a two-component ultrarelativistic plasma directly from kinetic theory. Starting with the Boltzmann--Vlasov equation and using the 14-moment approximation in the Landau frame, we…

Plasma Physics · Physics 2026-02-25 Khwahish Kushwah , Caio V. P. de Brito , Gabriel S Denicol

The article proposes generalizations of the macroscopic model of plasma of scalar charged particles to the cases of inter-particle interaction with multiple scalar fields and negative effective masses of these particles. The model is based…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Yu. G. Ignat'ev

We study the long-time dynamics of a tagged particle coupled to a background of $N$ other particles, all interacting through long-range pairwise forces in the mean-field scaling, with the background initially at thermal equilibrium.…

Mathematical Physics · Physics 2025-11-17 Mitia Duerinckx , Corentin Le Bihan

Representing the electrodynamics of relativistically drifting particle ensembles in discrete, co-propagating Galilean coordinates enables the derivation of a Particle-in-Cell algorithm that is intrinsically free of the Numerical Cherenkov…

Continuum Vlasov simulations can be utilized for highly accurate modelling of fully kinetic plasmas. Great progress has been made recently regarding the applicability of the method in realistic plasma configurations. However, a reduction of…

Plasma Physics · Physics 2022-09-28 Florian Allmann-Rahn , Rainer Grauer , Katharina Kormann

In this paper we establish global existence and uniqueness of the solution to the three-dimensional Vlasov-Poisson system in presence of point charges in case of repulsive interaction. The present analysis extends an analogeous…

Analysis of PDEs · Mathematics 2015-05-18 Carlo Marchioro , Evelyne Miot , Mario Pulvirenti

Following the method in Ref.(1), this paper introduces a fundamental Lagrangian 1-form on the particle's coordinates, which determines the dynamics of all ions and electrons of the magnetized plasma with low-frequency magnetic…

Plasma Physics · Physics 2017-05-02 Shuangxi Zhang

We consider the Born-Infeld nonlinear electromagnetic field equations and study its Cauchy problem in the case that the Vlasov equation is considered as a matter model. In the present paper, the Vlasov equation is considered on the…

Mathematical Physics · Physics 2015-01-07 Ho Lee

We establish a new self-consistent system of equations accounting for a nonminimal coupling of the cooperative gravitational, electromagnetic and pseudoscalar (axion) fields in a multi-component relativistic plasma. The axionic extension of…

General Relativity and Quantum Cosmology · Physics 2013-12-02 Alexander B. Balakin , Ruslan K. Muharlyamov , Alexei E. Zayats

We present a numerical framework for the simulation of collisional plasma dynamics, based on a coupling between Direct Simulation Monte Carlo (DSMC) and Particle-in-Cell (PIC) methods for the Vlasov-Maxwell-Landau system. The approach…

Computational Physics · Physics 2025-10-28 Andrea Medaglia , Lorenzo Pareschi , Mattia Zanella

We derive a number of solution for one-dimensional dynamics of relativistic magnetized plasma that can be used as benchmark estimates in relativistic hydrodynamic and magnetohydrodynamic numerical codes. First, we analyze the properties of…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Maxim Lyutikov , Samuel Hadden

The description of a conducting medium in thermal equilibrium, such as an electrolyte solution or a plasma, involves nonlinear electrostatics, a subject rarely discussed in the standard electricity and magnetism textbooks. We consider in…

Chemical Physics · Physics 2018-08-01 C. G. Gray , P. J. Stiles

We study the evolution of a strong field plasma using a quantum Vlasov equation with a non-Markovian source term and a simple collision term, and calculate the time dependence of the energy- and number-density, and the temperature. The…

Nuclear Theory · Physics 2009-01-14 J. C. R. Bloch , C. D. Roberts , S. M. Schmidt

We consider the two-dimensional two-component plasma, or Coulomb gas, consisting of $N$ positive and $N$ negative charges with logarithmic interaction. We introduce a suitable regularization of the interaction by smearing the charges over a…

Mathematical Physics · Physics 2024-10-03 Jeanne Boursier , Sylvia Serfaty

A collisionless plasma is modeled by the Vlasov-Poisson system in three space dimensions. A fixed background of positive charge - dependant upon only velocity - is assumed. The situation in which mobile negative ions balance the positive…

Analysis of PDEs · Mathematics 2010-01-06 Stephen Pankavich
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