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ALPS: the Arbitrary Linear Plasma Solver

Verscharen, D; Klein, KG; Chandran, BDG; Stevens, ML; Salem, CS; Bale, SD; (2018) ALPS: the Arbitrary Linear Plasma Solver. Journal of Plasma Physics , 84 (4) , Article 905840403. 10.1017/S0022377818000739. Green open access

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Abstract

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⊥, pk) grid, where p⊥ and pk 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.

Type: Article
Title: ALPS: the Arbitrary Linear Plasma Solver
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S0022377818000739
Publisher version: https://doi.org/10.1017/S0022377818000739
Language: English
Additional information: This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Keywords: plasma waves, plasma instabilities, space plasma physics
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Space and Climate Physics
URI: https://discovery.ucl.ac.uk/id/eprint/10050644
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