ALPS: The Arbitrary Linear Plasma Solver

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 $(p_{\perp },p_{\parallel })$ grid, where $p_{\perp }$ and $p_{\parallel }$ 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, $\kappa$-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.

arXiv comment26 pages, 13 figures, submitted

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Cited by in corpus (20)

• The multi-scale nature of the solar wind
• A Unified Numerically Solvable Framework for Complicated Kinetic Plasma Dispersion Relations
• Self-induced Scattering of Strahl Electrons in the Solar Wind
• Inferred Linear Stability of Parker Solar Probe Observations using One- and Two-Component Proton Distributions
• Electron energy partition across interplanetary shocks: III. Analysis
• Linear Stability in the Inner Heliosphere: Helios Reëvaluated
• Linear Dispersion Theory of Parallel Electromagnetic Modes for Regularized Kappa-Distributions
• Whistler Waves As a Signature of Converging Magnetic Holes in Space Plasmas
• Dependence of kinetic plasma waves on ion-to-electron mass ratio and light-to-Alfvén speed ratio
• The Stability of the Electron Strahl against the Oblique Fast-magnetosonic/Whistler Instability in the Inner Heliosphere
• Stochastic Ion Acceleration by the Ion-cyclotron Instability in a Growing Magnetic Field
• Electron Weibel instability and~quasi-magnetostatic structures in~an~expanding collisionless plasma
• Efficient Framework for Solving Plasma Waves with Arbitrary Distributions
• Temperature anisotropy instabilities of solar wind electrons with regularized Kappa-halos resolved with ALPS
• Evolution of an Alfvén Wave-Driven Proton Beam in the Expanding Solar Wind
• The Wave Energy Density and Growth Rate for the Resonant Instability in Relativistic Plasmas
• Quasi-parallel anti-sunward propagating whistler waves associated to the electron-deficit in the near-Sun solar wind: Particle-in-Cell simulation
• Heat-flux Instabilities of Regularized Kappa Distributed Strahl Electrons Resolved with ALPS
• Electrostatic waves in astrophysical Druyvesteyn plasmas: I. Langmuir waves
• Chorus: Optimizing Synchrotron Transfer Coefficients with Weighted Sums