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We propose a novel deterministic particle method to numerically approximate the Landau equation for plasmas. Based on a new variational formulation in terms of gradient flows of the Landau equation, we regularize the collision operator to…

Analysis of PDEs · Mathematics 2020-05-26 Jose A. Carrillo , Jingwei Hu , Li Wang , Jeremy Wu

The effects of linear Landau damping on the nonlinear propagation of dust-acoustic solitary waves (DASWs) are studied in a collisionless unmagnetized dusty plasma with two species of positive ions. The extremely massive, micron-seized, cold…

Plasma Physics · Physics 2015-08-04 A. P. Misra , Arnab Barman

A new fully kinetic system is proposed for modeling collisionless magnetic reconnection. The formulation relies on fundamental principles in Lagrangian dynamics, in which the inertia of the electron mean flow is neglected in the expression…

Plasma Physics · Physics 2013-01-29 Cesare Tronci

A multistream model for spinless electrons in a relativistic quantum plasma is introduced by means of a suitable fluid-like version of the Klein-Gordon-Maxwell system. The one and two-stream cases are treated in detail. A new linear…

Plasma Physics · Physics 2015-06-05 F. Haas , B. Eliasson , P. K. Shukla

Models of covariant linear electromagnetic constitutive relations are formulated that have wide applicability to the computation of susceptibility tensors for dispersive and inhomogeneous media. A perturbative framework is used to derive a…

Plasma Physics · Physics 2010-03-11 Jonathan Gratus , Robin W Tucker

A two-field gyrofluid model including ion finite Larmor radius (FLR) corrections, magnetic fluctuations along the ambient field and electron inertia is used to study two-dimensional reconnection in a low $\beta_e$ collisionless plasma, in a…

Plasma Physics · Physics 2024-05-24 C. Granier , E. Tassi , D. Laveder , T. Passot , P. L. Sulem

The propagation of an electrostatic wave packet inside a collisionless and initially Maxwellian plasma is always dissipative because of the irreversible acceleration of the electrons by the wave. Then, in the linear regime, the wave packet…

Plasma Physics · Physics 2015-06-03 Didier Benisti , Olivier Morice , Laurent Gremillet

We consider a linearized Euler--Maxwell model for the propagation and absorption of electromagnetic waves in a magnetized plasma. We present the derivation of the model, and we show its well-posedeness, its strong and polynomial stability…

Analysis of PDEs · Mathematics 2021-05-28 Simon Labrunie , Ibtissem Zaafrani

Within the context of Magnetohydrodynamics (MHD), the properties of a parallel shock do not depend on the field strength, as the field and the fluid are disconnected for such a geometry. However, in the collisionless case, the field can…

Plasma Physics · Physics 2021-08-25 Antoine Bret

With the use of correct expression of the electric conductivity of quantum collisional degenerate plasmas (A. V. Latyshev and A. A. Yushkanov, Transverse electrical conductivity of a quantum collisional plasma in the Mermin approach, -…

Plasma Physics · Physics 2013-05-22 A. V. Latyshev , A. A. Yushkanov

A hybrid model of the Vlasov equation in multiple spatial dimension $D>1$ [H. A. Rose and W. Daughton, Physics of Plasmas v. 18, 122109 (2011)], the Vlasov multi dimensional model (VMD), consists of standard Vlasov dynamics along a…

Plasma Physics · Physics 2015-06-18 Pavel M. Lushnikov , Harey A. Rose , Denis A. Silantyev , Natalia Vladimirova

When a steady-state cylindrical plasma discharge is centrally fuelled, the collisionless radial electron flux is canonically coupled to an axial current. The identification and analysis of this transport driven current, previously reported…

Plasma Physics · Physics 2018-08-01 J. M. Rax , J. Robiche , R. Gueroult , C. Ehrlacher

We compute the pressure of a finite density quark-gluon plasma at zero temperature to leading order in hard-thermal-loop perturbation theory, which includes the fermionic excitations and Landau damping. The result is compared with the…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. Baier , K. Redlich

The nonlinear theory of amplitude modulation of electrostatic wave envelopes in a collisionless electron-positron (EP) pair plasma is studied by using a set of Vlasov-Poisson equations in the context of Tsallis' $q$-nonextensive statistics.…

Plasma Physics · Physics 2016-01-05 D. Chatterjee , A. P. Misra

A Korteweg-de Vries (KdV) equation including the effect of Landau damping is derived to study the propagation of weakly nonlinear and weakly dispersive ion acoustic waves in a collisionless unmagnetized plasma consisting of warm adiabatic…

Plasma Physics · Physics 2018-10-31 Sandip Dalui , Anup Bandyopadhyay

The interaction between the electromagnetic field and plasmonic nanostructures leads to both the strong linear response and inherent nonlinear behavior. In this paper, a time-domain hydrodynamic model for describing the motion of electrons…

Optics · Physics 2017-09-19 Ming Fang , Zhixiang Huang , Wei E. I. Sha , Xianliang Wu

To expand on recent work, we introduce collisional terms in the analysis of the warm ion-electron, two-fluid equations for a homogeneous plasma at rest. Consequently, the plasma is now described by six variables: the magnetisation, the…

Plasma Physics · Physics 2024-05-21 Joeri De Vadder , Jordi De Jonghe , Rony Keppens

By an idealized quantum mechanical model, we formally describe the dispersion of nonretarded electromagnetic waves that express charge density oscillations near a fixed plane in three spatial dimensions (3D) at zero temperature. Our goal is…

Mathematical Physics · Physics 2026-04-16 Dionisios Margetis

Effects of non-thermal high-energy electrons on Langmuir wave-particle interaction are investigated by an initial value approach. A Vlasov-Poisson simulation is employed which is based on the splitting scheme by Cheng and Knorr [Cheng, C.Z.…

Plasma Physics · Physics 2012-12-27 Yue-Hung Chen , Yasutaro Nishimura , Chio-Zong Cheng

Potential (electrostatic) surface waves in plasma half-space with degenerate electrons are studied using the quasi-classical mean-field kinetic model. The wave spectrum and the collisionless damping rate are obtained numerically for a wide…

Plasma Physics · Physics 2015-06-03 Yu. O. Tyshetskiy , D. Williamson , R. Kompaneets , S. V. Vladimirov