What is it about?

In laboratory and space environments, the velocity distribution of superthermal plasmas is often non-Maxwellian, which can be well-fitted by the Kappa family of distributions. The primary objective of this work is to construct a new, comprehensive linear eigenvalue system based on the dielectric tensor of multi-species PBK plasmas (including KM and BM plasmas) combined with Maxwell's equations.

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Why is it important?

We propose a new method that transforms the traditional numerical iteration process for solving the finite roots of the dielectric tensor from initial values into an eigenvalue problem within a new, comprehensive linear system, thus enabling the simultaneous determination of all principal eigenvalues. The final eigenvalue system is crucial for developing a new, comprehensive solver for oblique propagation in multi-species anisotropic drift PBK plasmas.

Perspectives

This approach effectively transforms the problem of numerically finding the roots of the dielectric tensor into an eigenvalue problem, which shows promise for developing new algorithms for numerical calculations of oblique propagation dispersion relations and instabilities in multi-component PBK plasmas. Detailed implementation and program validation will be addressed in the future work.

Wei Bai

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This page is a summary of: A new generalized formulation of dielectric tensor for multi-species plasma with anisotropic drift product-bi-kappa distribution, Physics of Plasmas, December 2024, American Institute of Physics,
DOI: 10.1063/5.0238442.
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