Discontinuous Galerkin Methods for Relativistic Vlasov–Maxwell System
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DOI: 10.1007/s10915-016-0332-4
Abstract: The relativistic Vlasov–Maxwell (RVM) system is a kinetic model that describes the dynamics of plasma when the charged particles move in the relativistic regime and their collisions are not important. In this paper, we formulate… read more here.
Keywords: system; vlasov maxwell; relativistic vlasov; discontinuous galerkin ... See more keywords
Microscopic Foundations of Kinetic Plasma Theory: The Relativistic Vlasov–Maxwell Equations and Their Radiation-Reaction-Corrected Generalization
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DOI: 10.1007/s10955-020-02519-x
Abstract: 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 Bopp–Landé–Thomas–Podolsky (BLTP) vacuum,… read more here.
Keywords: vlasov maxwell; theory; radiation reaction; point ... See more keywords
The non-cutoff Vlasov-Maxwell-Boltzmann system with weak angular singularity
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DOI: 10.1007/s11425-016-9083-x
Abstract: We establish the global existence of small-amplitude solutions near a global Maxwellian to the Cauchy problem of the Vlasov-Maxwell-Boltzmann system for non-cutoff soft potentials with weak angular singularity. This extends the work of Duan et… read more here.
Keywords: vlasov maxwell; maxwell boltzmann; angular singularity; boltzmann system ... See more keywords
Vlasov–Maxwell equations with spin effects
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DOI: 10.1017/s0022377823000314
Abstract: We present a numerical method to solve the Vlasov–Maxwell equations for spin-1/2 particles, in a semiclassical approximation where the orbital motion is treated classically while the spin variable is fully quantum. Unlike the spinless case,… read more here.
Keywords: phase space; maxwell equations; spin effects; vlasov maxwell ... See more keywords
Energy conversion in turbulent weakly collisional plasmas: Eulerian hybrid Vlasov-Maxwell simulations
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DOI: 10.1063/1.5100125
Abstract: Kinetic simulations based on the Eulerian Hybrid Vlasov-Maxwell (HVM) formalism permit the examination of plasma turbulence with useful resolution of the proton velocity distribution function (VDF). The HVM model is employed here to study the… read more here.
Keywords: vlasov maxwell; energy; hybrid vlasov; vlasov ... See more keywords
Exact hybrid Vlasov equilibria for sheared plasmas with in-plane and out-of-plane magnetic field.
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DOI: 10.1103/physreve.97.053212
Abstract: The hybrid Vlasov-Maxwell system of equations is suitable to describe a magnetized plasma at scales on the order of or larger than proton kinetic scales. An exact stationary solution is presented by revisiting previous results… read more here.
Keywords: hybrid vlasov; magnetic field; plane; vlasov maxwell ... See more keywords