Comparison of linear modes in kinetic plasma models

Camporeale, Enrico; Burgess, David

doi:10.1017/s0022377817000277

Cited by 14 publications

(16 citation statements)

References 46 publications

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“…The recovered resonant peak is in agreement with the theoretical pulsation, evaluated through a fully-kinetic linear solver of the dispersion relation (Camporeale & Burgess 2017). Moreover, no Landau damping is observed, since it occurs at much smaller scales (Barnes 1966;Vàsconez et al 2014;Camporeale & Burgess 2017). This test represents the first attempt towards a general description of Alfvén waves, where electron physics is also taken into account.…”

Section: Propagation Of Alfvén Wavessupporting

confidence: 78%

“…Moreover, no Landau damping is observed, since it occurs at much smaller scales (Barnes 1966; Vàsconez et al. 2014; Camporeale & Burgess 2017). This test represents the first attempt towards a general description of Alfvén waves, where electron physics is also taken into account.…”

Section: Numerical Tests Of Vidamentioning

confidence: 99%

“…

Figure 6.Time evolution of . The red dashed line indicates the linear instability growth , calculated with a linear solver of the fully kinetic dispersion relation (Camporeale & Burgess 2017). …”

Section: Temperature Anisotropy Driven Instability: Electron Weibel Imentioning

confidence: 99%

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ViDA: a Vlasov–DArwin solver for plasma physics at electron scales

et al. 2019

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We present a Vlasov-DArwin numerical code (ViDA) specifically designed to address plasma physics problems, where small-scale high accuracy is requested even during the non linear regime to guarantee a clean description of the plasma dynamics at fine spatial scales. The algorithm provides a low-noise description of proton and electron kinetic dynamics, by splitting in time the multi-advection Vlasov equation in phase space. Maxwell equations for the electric and magnetic fields are reorganized according to Darwin approximation to remove light waves. Several numerical tests show that ViDA successfully reproduces the propagation of linear and nonlinear waves and captures the physics of magnetic reconnection. We also discuss preliminary tests of the parallelization algorithm efficiency, performed at CINECA on the Marconi-KNL cluster. ViDA will allow to run Eulerian simulations of a non-relativistic fully-kinetic collisionless plasma and it is expected to provide relevant insights on important problems of plasma astrophysics such as, for instance, the development of the turbulent cascade at electron scales and the structure and dynamics of electron-scale magnetic reconnection, such as the electron diffusion region.

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Section: Propagation Of Alfvén Wavessupporting

confidence: 78%

Section: Numerical Tests Of Vidamentioning

confidence: 99%

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ViDA: a Vlasov–DArwin solver for plasma physics at electron scales

et al. 2019

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“…2006; Kunz et al. 2015; Camporeale & Burgess 2017). The gyrokinetic dispersion relation does not require the sum over all as in (2.9).…”

Section: Discussionmentioning

confidence: 99%

ALPS: the Arbitrary Linear Plasma Solver

et al. 2018

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The Arbitrary Linear Plasma Solver (ALPS) is a parallelised numerical code that solves the dispersion relation in a hot (even relativistic) magnetised plasma with an arbitrary number of particle species with arbitrary gyrotropic equilibrium distribution functions for any direction of wave propagation with respect to the background field. ALPS reads the background momentum distributions as tables of values on a (p ⊥ , p ) grid, where p ⊥ and p are the momentum coordinates in the directions perpendicular and parallel to the background magnetic field, respectively. We present the mathematical and numerical approach used by ALPS and introduce our algorithms for the handling of poles and the analytic continuation for the Landau contour integral. We then show test calculations of dispersion relations for a selection of stable and unstable configurations in Maxwellian, bi-Maxwellian, κ-distributed, and Jüttner-distributed plasmas. These tests demonstrate that ALPS derives reliable plasma dispersion relations. ALPS will make it possible to determine the properties of waves and instabilities in the non-equilibrium plasmas that are frequently found in space, laboratory experiments, and numerical simulations. † Email address for correspondence: d.verscharen@ucl.ac.uk arXiv:1803.04697v1 [physics.space-ph]

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“…As anticipated above, [11] were the first to design an alternative fully kinetic model in the quasi-neutral limit. More specifically, they expanded Ohm's law (1) by using Ampeère's and Faraday's laws to obtain (4). Then, after assuming quasi-neutrality to write J = µ −1 0 ∇ × B, they neglected all terms of the order of m e /m i .…”

Section: The Cheng-johnson Modelmentioning

confidence: 99%

Electron inertia and quasi-neutrality in the Weibel instability

Camporeale

Tronci

2017

J. Plasma Phys.

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While electron kinetic effects are well known to be of fundamental importance in several situations, the electron mean-flow inertia is often neglected when lengthscales below the electron skin depth become irrelevant. This has led to the formulation of different reduced models, where electron inertia terms are discarded while retaining some or all kinetic effects. Upon considering general full-orbit particle trajectories, this paper compares the dispersion relations emerging from such models in the case of the Weibel instability. As a result, the question of how lengthscales below the electron skin depth can be neglected in a kinetic treatment emerges as an unsolved problem, since all current theories suffer from drawbacks of different nature. Alternatively, we discuss fully kinetic theories that remove all these drawbacks by restricting to frequencies well below the plasma frequency of both ions and electrons. By giving up on the lengthscale restrictions appearing in previous works, these models are obtained by assuming quasi-neutrality in the full Maxwell-Vlasov system.

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Comparison of linear modes in kinetic plasma models

Cited by 14 publications

References 46 publications

ViDA: a Vlasov–DArwin solver for plasma physics at electron scales

ViDA: a Vlasov–DArwin solver for plasma physics at electron scales

ALPS: the Arbitrary Linear Plasma Solver

Electron inertia and quasi-neutrality in the Weibel instability

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