Fluid moments of the Landau collision operator

Abstract

One important problem in plasma physics is the lack of an accurate and complete description of Coulomb collisions in associated fluid models. To shed light on the problem, this Letter introduces an integral identity involving the multi-dimensional Hermite tensor polynomials and presents a method for computing exact expressions for the fluid moments of the nonlinear Landau collision operator. The proposed methodology provides a systematic and rigorous means of extending the validity of fluid models that have an underlying inverse-square force particle dynamics to weakly collisional and strong flow regimes.

arXiv comment10 pages

References in corpus (1)

• The Gaussian Radial Basis Function Method for Plasma Kinetic Theory

Cited by in corpus (7)

• Relativistic resistive magnetohydrodynamic reconnection and plasmoid formation in merging flux tubes
• A Drift-Kinetic Analytical Model for SOL Plasma Dynamics at Arbitrary Collisionality
• Solar wind collisional heating
• Exact collisional moments for plasma fluid theories
• Nonlinear Resistivity for Magnetohydrodynamical Models
• Generalized Collisional Fluid Theory for Multi-Component, Multi-Temperature Plasma Using The Linearized Boltzmann Collision Operator for Scrape-Off Layer/Edge Applications
• Fourier-Hermite decomposition of the collisional Vlasov-Maxwell system: implications for the velocity space cascade