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We consider the linear stability problem for a 3D cylindrically symmetric equilibrium of the relativistic Vlasov-Maxwell system that describes a collisionless plasma. For an equilibrium whose distribution function decreases monotonically…

Plasma Physics · Physics 2009-11-13 Zhiwu Lin , Walter Strauss

We develop the theory of anomalous elasticity in two-dimensional flexible materials with orthorhombic crystal symmetry. Remarkably, in the universal region, where characteristic length scales are larger than the rather small Ginzburg scale…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 I. S. Burmistrov , V. Yu. Kachorovskii , M. J. Klug , J. Schmalian

We construct a mean-field model that describes the nonlinear dynamics of a spin-polarized electron gas interacting with fixed, positively-charged ions possessing a magnetic moment that evolves in time. The mobile electrons are modeled by a…

A self-consistent relativistic two-fluid model is proposed for one-dimensional electron-ion plasma dynamics. A multiple scales perturbation technique is employed, leading to an evolution equation for the wave envelope, in the form of a…

Plasma Physics · Physics 2016-07-06 M. McKerr , F. Haas , I. Kourakis

Weakly collisional space plasmas are rarely in local thermal equilibrium and often exhibit non-Maxwellian electron and ion velocity distributions that lead to the growth of microinstabilities, that is, enhanced electric and magnetic fields…

We study the formation of singularity for the Euler-Poisson system equipped with the Boltzmann relation, which describes the dynamics of ions in an electrostatic plasma. In general, it is known that smooth solutions to nonlinear hyperbolic…

Analysis of PDEs · Mathematics 2022-06-07 Junsik Bae , Junho Choi , Bongsuk Kwon

New developments in the theory and numerical simulation of a recently proposed one-dimensional nonlinear time-dependent fluid model [K. Avinash, A. Bhattacharjee, and S. Hu, Phys. Rev. Lett. 90, 075001 (2003)] for void formation in dusty…

Computational Physics · Physics 2011-09-07 C. S. Ng , A. Bhattacharjee , S. Hu , Z. W. Ma , K. Avinash

While a fully relativistic collisionless plasma is modeled by the Vlasov-Maxwell system a good approximation in the non-relativistic limit is given by the Vlasov-Poisson system. We modify the Vlasov-Poisson system so that damping due to the…

Mathematical Physics · Physics 2016-04-21 Sebastian Bauer

This paper is concerned with the kinetic treatment of quasi-stationary axisymmetric collisionless accretion disc plasmas. The conditions of validity of the kinetic description for non-relativistic magnetized and gravitationally-bound…

High Energy Astrophysical Phenomena · Physics 2023-06-29 Claudio Cremaschini , Massimo Tessarotto

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

In this paper, we study the quasineutral limit (in other words the limit when the Debye length tends to zero) of Vlasov-Poisson like equations describing the behaviour of ions in a plasma. We consider massless electrons, with a charge…

Analysis of PDEs · Mathematics 2010-11-30 Daniel Han-Kwan

We present a general formalism which allows us to derive the evolution equations describing one-dimensional (1D) and isotropic 2D interfacelike systems, that is based on symmetries, conservation laws, multiple scale arguments, and exploits…

Other Condensed Matter · Physics 2016-08-14 M. Castro , J. Muñoz-García , R. Cuerno , M. García Hernández , L. Vázquez

I review recent analytical and numerical advances in the study of non-equilibrium quark-gluon plasma physics. I concentrate on studies of the dynamics of plasmas which are locally anisotropic in momentum space. In contrast to locally…

High Energy Physics - Phenomenology · Physics 2008-11-26 Michael Strickland

We perform fully-kinetic particle-in-cell simulations of an hot plasma that expands radially in a cylindrical geometry. The aim of the paper is to study the consequent development of the electron temperature anisotropy in an expanding…

Plasma Physics · Physics 2010-02-12 Enrico Camporeale , David Burgess

By means of a scaling ansatz, we investigate an approximated solution of the Boltzmann-Vlasov equation for a classical gas. Within this framework, we derive the frequencies and the damping of the collective oscillations of a harmonically…

Condensed Matter · Physics 2009-11-10 P. Pedri , D. Guéry-Odelin , S. Stringari

Dynamics of collisionless plasma described by the Poisson-Vlasov equations is connected with the Hamiltonian motions of particles and their symmetries. The Poisson equation is obtained as a constraint arising from the gauge symmetries of…

Mathematical Physics · Physics 2010-04-02 Hasan Gümral

We study the local-in-time well-posedness for an interface that separates an anisotropic plasma from a vacuum. The plasma flow is governed by the ideal Chew-Goldberger-Low (CGL) equations, which are the simplest collisionless fluid model…

Analysis of PDEs · Mathematics 2023-07-05 Yuri Trakhinin

This work is devoted to the study of the influence of temperature anisotropy and parallel heat flux on the stability of supersonic shear flow in collisionless plasmas. Within a fluid-based framework, we employ the 16-moment transport…

Solar and Stellar Astrophysics · Physics 2026-05-14 Namig S. Dzhalilov

N-body simulations are essential for understanding the formation and evolution of structure in the Universe. However, the discrete nature of these simulations affects their accuracy when modelling collisionless systems. We introduce a new…

Cosmology and Nongalactic Astrophysics · Physics 2015-11-18 Oliver Hahn , Raul E. Angulo

Ab-initio numerical study of collisionless shocks in electron-ion unmagnetized plasmas is performed with fully relativistic particle in cell simulations. The main properties of the shock are shown, focusing on the implications for particle…

High Energy Astrophysical Phenomena · Physics 2011-02-11 S. F. Martins , R. A. Fonseca , L. O. Silva , W. B. Mori