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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…

等离子体物理 · 物理学 2009-11-13 Zhiwu Lin , Walter Strauss

A multispecies, collisionless plasma is modeled by the Vlasov-Poisson system. Assuming the plasma is neutral and the electric field decays with sufficient rapidity as $t \to\infty$, we show that solutions can be constructed with arbitrarily…

偏微分方程分析 · 数学 2025-02-06 Grace Mattingly , Stephen Pankavich , Jonathan Ben-Artzi

We derive axisymmetric equilibrium equations in the context of the hybrid Vlasov model with kinetic ions and massless fluid electrons, assuming isothermal electrons and deformed Maxwellian distribution functions for the kinetic ions. The…

等离子体物理 · 物理学 2024-06-06 D. A. Kaltsas , A. Kuiroukidis , P. J. Morrison , G. N. Throumoulopoulos

A recent paper [Phys. Plasmas 20, 032304 (2013)] considered the forced linear Vlasov equation as a model for the quasi-steady state of a single stable plasma wavenumber interacting with a bath of turbulent fluctuations. This approach gives…

等离子体物理 · 物理学 2015-01-08 G. G. Plunk , J. T. Parker

The motion of a collisionless plasma - a high-temperature, low-density, ionized gas - is described by the Vlasov-Maxwell system. In the presence of large velocities, relativistic corrections are meaningful, and when symmetry of the particle…

偏微分方程分析 · 数学 2009-12-31 Robert Glassey , Stephen Pankavich , Jack Schaeffer

Context. Magnetized plasmas characterized by shearing flows are present in many natural contexts, such as the Earth's magnetopause and the solar wind. The collisionless nature of involved plasmas requires a kinetic description. When the…

等离子体物理 · 物理学 2021-01-27 Giovanni Guzzi , Adriana Settino , Francesco Valentini , Francesco Malara

We calculate exact one-dimensional collisionless plasma equilibria for a continuum of flux tube models, for which the total magnetic field is made up of the `force-free' Gold-Hoyle magnetic flux tube embedded in a uniform and anti-parallel…

等离子体物理 · 物理学 2016-09-21 O. Allanson , F. Wilson , T. Neukirch

Two-dimensional Maxwell-Vlasov equilibria with finite electric fields, axial ("toroidal") plasma flow and isotropic pressure are constructed in plane geometry by using the quasineutrality condition to express the electrostatic potential in…

等离子体物理 · 物理学 2009-10-16 G. N. Throumoulopoulos , H. Tasso

We introduce a model of uncoupled pendula, which mimics the dynamical behavior of the Hamiltonian Mean Field (HMF) model. This model has become a paradigm for long-range interactions, like Coulomb or dipolar forces. As in the HMF model,…

统计力学 · 物理学 2010-12-14 Pierre de Buyl , David Mukamel , Stefano Ruffo

We investigate the connection between collisionless equilibria and the phase-space relation between density $\rho$ and velocity dispersion $\sigma$ found in simulations of dark matter halo formation, $F=\psd \propto r^{-\alpha}$.…

天体物理学 · 物理学 2009-11-13 Eric I. Barnes , Liliya L. R. Williams , Arif Babul , Julianne J. Dalcanton

Nonthermal velocity distributions with much greater tails than the Maxwellian have been observed for radical atoms in plasmas for a long time. Historically, such velocity distributions have been modeled by a two-temperature Maxwell…

等离子体物理 · 物理学 2024-05-09 Keisuke Fujii

A collisionless plasma is modeled by the Vlasov-Poisson system in one-dimension. A fixed background of positive charge, dependent only upon velocity, is assumed and the situation in which the mobile negative ions balance the positive charge…

偏微分方程分析 · 数学 2010-03-01 Stephen Pankavich

We derive the conductivity tensor for axisymmetric perturbations of a hot, collisionless, and charge-neutral plasma in the shearing sheet approximation. Our results generalize the well-known linear Vlasov theory for uniform plasmas to…

高能天体物理现象 · 物理学 2015-01-06 Tobias Heinemann , Eliot Quataert

We propose a novel reformulation of the Vlasov-Amp{\`e}re equations for plasmas. This reformulation exposes discrete symmetries to achieve simultaneous conservation of mass, momentum, and energy; preservation of Gauss's law involution;…

等离子体物理 · 物理学 2024-10-29 William T Taitano , Joshua W Burby , Alex Alekseenko

A classical long-range-interacting $N$-particle system relaxes to thermal equilibrium on time scales growing with $N$; in the limit $N\to \infty$ such a relaxation time diverges. However, a completely non-collisional relaxation process,…

统计力学 · 物理学 2022-02-09 Alessandro Santini , Guido Giachetti , Lapo Casetti

A general method is presented for constructing distribution functions for flat systems whose surface density and Toomre's Q number profile is given. The purpose of these functions is to provide plausible galactic models and assess their…

天体物理学 · 物理学 2007-05-23 C. Pichon , D. Lynden-Bell

Relativistic plasmas around compact objects can sometimes be approximated as being force-free. In this limit, the plasma inertia is negligible and the overall dynamics is governed by global electric currents. We present a novel numerical…

天体物理仪器与方法 · 物理学 2024-06-14 Yoonsoo Kim , Elias R. Most , William Throwe , Saul A. Teukolsky , Nils Deppe

The authors present a study of the non equilibrium statistical properties of a one dimensional hard-rod fluid dissipating energy via inelastic collisions and subject to the action of a Gaussian heat bath, simulating an external driving…

材料科学 · 物理学 2009-11-13 Umberto Marini-Bettolo-Marconi , Pedro Tarazona , Fabio Cecconi

Several general trends have been identified for equilibrated, self-gravitating collisionless systems, such as density or anisotropy profiles. These are integrated quantities which naturally depend on the underlying velocity distribution…

天体物理学 · 物理学 2009-11-11 Steen H. Hansen , Ben Moore , Marcel Zemp , Joachim Stadel

We present a new Vlasov code for collisionless plasmas in the nonrelativistic regime. A Darwin approximation is used for suppressing electromagnetic vacuum modes. The spatial integration is based on an extension of the flux-conservative…

计算物理 · 物理学 2007-05-23 H. Schmitz , R. Grauer