Nonlinear Gyrokinetic Coulomb Collision Operator

Abstract

A gyrokinetic Coulomb collision operator is derived, which is particularly useful to describe the plasma dynamics at the periphery region of magnetic confinement fusion devices. The derived operator is able to describe collisions occurring in distribution functions arbitrarily far from equilibrium with variations on spatial scales at and below the particle Larmor radius. A multipole expansion of the Rosenbluth potentials is used in order to derive the dependence of the full Coulomb collision operator on the particle gyroangle. The full Coulomb collision operator is then expressed in gyrocentre phase-space coordinates, and a closed formula for its gyroaverage in terms of the moments of the gyrocenter distribution function in a form ready to be numerically implemented is provided. Furthermore, the collision operator is projected onto a Hermite-Laguerre velocity space polynomial basis and expansions in the small electron-to-ion mass ratio are provided.

30 pages

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• Development of Advanced Linearized Gyrokinetic Collision Operators Using a Moment Approach
• Fluid & Gyrokinetic turbulence in open field-line, helical plasmas
• Generalized Collisional Fluid Theory for Multi-Component, Multi-Temperature Plasma Using The Linearized Boltzmann Collision Operator for Scrape-Off Layer/Edge Applications
• Numerical Implementation of the Improved Sugama Collision Operator Using a Moment Approach
• Full-F Turbulent Simulation in a Linear Device using a Gyro-Moment Approach
• Moment-Fourier approach to ion parallel fluid closures and transport for a toroidally confined plasma
• Four-dimensional drift-kinetic model for scrape-off layer plasmas