The Gaussian Radial Basis Function Method for Plasma Kinetic Theory
Journal article, 2015

Description of a magnetized plasma involves the Vlasov equation supplemented with the non-linear Fokker–Planck collision operator. For non-Maxwellian distributions, the collision operator, however, is difficult to compute. In this Letter, we introduce Gaussian Radial Basis Functions (RBFs) to discretize the velocity space of the entire kinetic system, and give the corresponding analytical expressions for the Vlasov and collision operator. Outlining the general theory, we also highlight the connection to plasma fluid theories, and give 2D and 3D numerical solutions of the non-linear Fokker–Planck equation. Applications are anticipated in both astrophysical and laboratory plasmas.

Kinetic theory



Coulomb collisions


Eero Hirvijoki

Chalmers, Applied Physics, Nuclear Engineering

Jeff Candy

General Atomics

E Belli

General Atomics

Ola Embréus

Chalmers, Applied Physics, Nuclear Engineering

Physics Letters, Section A: General, Atomic and Solid State Physics

0375-9601 (ISSN)

Vol. 379 42 2735-2739

Driving Forces

Sustainable development


Basic sciences

Subject Categories

Fusion, Plasma and Space Physics



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