BO-PBK: A comprehensive solver for dispersion relations of obliquely propagating waves in magnetized multi-species plasma with anisotropic loss-cone drift product-bi-kappa distribution

2025/12/07 by Bai, Wei, Xie, Huasheng
Physics and Astronomy · #Magnetic confinement fusion research #Ionosphere and magnetosphere dynamics #Laser-Plasma Interactions and Diagnostics

paper · doi:10.48550/arxiv.2512.06901

Abstract

We present BO-PBK (BO-Product-Bi-Kappa), a new solver for kinetic dispersion relations of obliquely propagating waves in magnetized plasmas with complex velocity distributions. It reformulates the linearized Vlasov-Maxwell system into a compact eigenvalue problem, enabling direct computation of multiple wave branches and unstable modes without iterative initial-value searches. Key innovations include a unified framework supporting product-bi-kappa, kappa-Maxwellian, bi-Maxwellian, and hybrid distributions with multi-component and loss-cone features; a concise rational-form eigenvalue formulation; and a 2--3 times reduction in matrix dimensions compared to the BO-KM solver, with improved efficiency at larger kappa indices. Benchmark tests confirm accurate reproduction of standard kinetic results and efficient resolution of waves and instabilities. BO-PBK thus provides a computationally efficient tool for wave and stability analysis in space and laboratory plasmas.

Citations

• The Dielectric Response of Plasmas with Arbitrary Gyrotropic Velocity Distributions
• Efficient Framework for Solving Plasma Waves with Arbitrary Distributions

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