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In this work we consider a relativistic drift-kinetic model for runaway electrons along with a Fokker-Planck operator for small-angle Coulomb collisions, a radiation damping operator, and a secondary knock-on (Boltzmann) collision source.…

Numerical Analysis · Mathematics 2024-03-22 Johann Rudi , Max Heldman , Emil M. Constantinescu , Qi Tang , Xian-Zhu Tang

The dynamics of electron-plasma waves are described at arbitrary collisionality by considering the full Coulomb collision operator. The description is based on a Hermite-Laguerre decomposition of the velocity dependence of the electron…

Plasma Physics · Physics 2019-04-24 R. Jorge , P. Ricci , S. Brunner , S. Gamba , V. Konovets , N. F. Loureiro , L. M. Perrone , N. Teixeira

We derive a nonlinear equation governing dynamics of short-wavelength longitudinal waves in ultrarelativistic electron-positron-ion plasmas. In contrast to the recent work by Lashkin [Phys. Plasmas {\textbf{27}}, 102302 (2020)], where a…

Plasma Physics · Physics 2021-07-28 V. M. Lashkin

Electric conductivity and dielectric permeability of the non-degenerate electronic gas for the collisional plasmas under arbitrary degree of degeneration of electron gas is found. The kinetic equation of Wigner - Vlasov - Boltzmann with…

Mathematical Physics · Physics 2010-03-08 A. V. Latyshev , A. A. Yushkanov

The problem of the linear microtearing mode in a slab magnetised plasma, and its connection to kinetic reconnecting modes, is addressed. Electrons are described using a novel hybrid fluid-kinetic model that captures electron heating, ions…

Plasma Physics · Physics 2015-06-23 A Zocco , N F Loureiro , D Dickinson , R Numata , C M Roach

The predictive capability of a plasma discharge model depends on accurate representations of electron-impact collision cross sections, which determine the key reaction rates and transport properties of the plasma. Although many cross…

Plasma Physics · Physics 2024-10-14 Seung Whan Chung , Todd A. Oliver , Laxminarayan L. Raja , Robert D. Moser

For magnetic confinement fusion in tokamak plasmas, some of the limitations to the particle and energy confinement times are caused by turbulence and collisions between particles in toroidal geometry, which determine the "anomalous" and the…

Plasma Physics · Physics 2023-07-19 Lana Rekhviashvili , Zhixin Lu , Matthias Hoelzl , Andreas Bergmann , Philipp Lauber

Does overall thermal equilibrium exist between ions and electrons in a weakly collisional, magnetised, turbulent plasma---and, if not, how is thermal energy partitioned between ions and electrons? This is a fundamental question in plasma…

Plasma Physics · Physics 2019-01-17 Yohei Kawazura , Michael Barnes , Alexander A. Schekochihin

A mechanism for fast magnetic reconnection in collisionless plasma is studied for understanding sawtooth collapse in tokamak discharges by using a two-fluid model for cold ions and electrons. Explosive growth of the tearing mode enabled by…

Plasma Physics · Physics 2015-06-12 M. Hirota , P. J. Morrison , Y. Ishii , M. Yagi , N. Aiba

One of the more promising observables to probe the high energy regime of the QCD dynamics in the future Electron-Ion Colliders (EIC) is the exclusive vector meson production cross section in coherent and incoherent interactions. Such…

High Energy Physics - Phenomenology · Physics 2019-06-24 M. Krelina , V. P. Goncalves , J. Cepila

A semiconductor Boltzmann equation with a non-linear BGK-type collision operator is analyzed for a cloud of ultracold atoms in an optical lattice: \[ \partial_t f + \nabla_p\epsilon(p)\cdot\nabla_x f - \nabla_x n_f\cdot\nabla_p f = n_f(1-…

Analysis of PDEs · Mathematics 2018-06-22 Marcel Braukhoff

This work presents a multidisciplinary mathematical model, as a set of coupled governing equations and auxiliary relations describing the fluid-flow, thermal, and electric fields of partially-ionized plasma with low magnetic Reynolds…

Plasma Physics · Physics 2024-11-01 Osama A. Marzouk

We show that an electronic beam passing through the collisionless plasma of the "cold" ions and the "hot" Boltzmann electrons can give rise to the propagation of the supersonic ion-acoustic rarefaction shock waves. These waves are analogous…

Plasma Physics · Physics 2015-05-28 Victor Ts. Gurovich , Leonid G. Fel

Relativistic runaway electrons are a major concern in tokamaks. The European framework for Integrated Modelling (EU-IM), facilitates the integration of different plasma simulation tools by providing a standard data structure for…

We prove global existence of smooth solutions near Maxwellians for the non-cutoff Vlasov-Poisson-Boltzmann system in the weakly collisional regime. To address the weak dissipation of the non-cutoff linearized Boltzmann operator, we develop…

Analysis of PDEs · Mathematics 2025-10-07 Yuanjie Lei , Shuangqian Liu , Qinghua Xiao , Huijiang Zhao

Avoidance of the harmful effects of runaway electrons (REs) in plasma-terminating disruptions is pivotal in the design of safety systems for magnetic fusion devices. Here, we describe a computationally efficient numerical tool, that allows…

Plasma Physics · Physics 2021-08-11 M. Hoppe , O. Embreus , T. Fülöp

In laser-driven indirect inertial confinement fusion (ICF), a hohlraum--a cavity constructed from high-Z materials--serves the purpose of converting laser energy into thermal x-ray energy. This process involves the interaction of…

Resonant interactions between high energy runaway electrons (REs) and whistler waves are a promising mechanism for RE mitigation in tokamak plasmas. While prior studies have largely relied on quasi-linear diffusion models in simplified…

Plasma Physics · Physics 2025-09-17 Yashika Ghai , D. Del-Castillo-Negrete , D. A. Spong , M. T. Beidler

The kinetic stability of collisionless, sloshing beam-ion (45{\deg} pitch angle) plasma is studied in a 3D simple magnetic mirror, mimicking the Wisconsin High-temperature superconductor Axisymmetric Mirror (WHAM) experiment. The…

By coupling the Boltzmann transport equations of both quarkonium and open heavy quarks, we investigate their dynamical evolution inside the quark-gluon plasma and study quarkonium production in heavy ion collisions. The Boltzmann transport…

High Energy Physics - Phenomenology · Physics 2019-02-20 Xiaojun Yao , Weiyao Ke , Yingru Xu , Steffen Bass , Berndt Müller
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