Towards solving the ICRH wave and Fokker-Planck equations self-consistently

Fuente: arXiv
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Autori principali: Van Eester, Dirk, Maquet, Vincent, Louche, Fabrice, Reman, Bernard
Natura: Preprint
Pubblicazione: 2026
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author Van Eester, Dirk
Maquet, Vincent
Louche, Fabrice
Reman, Bernard
author_facet Van Eester, Dirk
Maquet, Vincent
Louche, Fabrice
Reman, Bernard
contents The present paper sketches a framework for solving the wave and Fokker-Planck equations in the ion cyclotron resonance frequency domain fully selfconsistently. It illustrates this can be done by first constructing "building blocks" that are commonly needed by the wave and Fokker-Planck equations, allowing e.g. to account for wave coupling in plasmas containing non-Maxwellian distributions. Up to details, the paper exploits known expressions and methods to solve the two intimately connected aspects of the description of the wave-particle interaction underlying ion cyclotron resonance heating. Two cases are presented: the case where the guiding centre motion is limited to just following magnetic field lines, and the extended case accounting for drifts away from magnetic surfaces but assuming axisymmetry. A limited set of analytical results is included. As combining wave and Fokker-Planck solving is the focus, the computation of the dielectric response for arbitrary distribution functions is illustrated as well.
format Preprint
id arxiv_https___arxiv_org_abs_2601_02130
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Towards solving the ICRH wave and Fokker-Planck equations self-consistently
Van Eester, Dirk
Maquet, Vincent
Louche, Fabrice
Reman, Bernard
Plasma Physics
82D10, 82C31, 35L05, 35Q60
I.6.5
The present paper sketches a framework for solving the wave and Fokker-Planck equations in the ion cyclotron resonance frequency domain fully selfconsistently. It illustrates this can be done by first constructing "building blocks" that are commonly needed by the wave and Fokker-Planck equations, allowing e.g. to account for wave coupling in plasmas containing non-Maxwellian distributions. Up to details, the paper exploits known expressions and methods to solve the two intimately connected aspects of the description of the wave-particle interaction underlying ion cyclotron resonance heating. Two cases are presented: the case where the guiding centre motion is limited to just following magnetic field lines, and the extended case accounting for drifts away from magnetic surfaces but assuming axisymmetry. A limited set of analytical results is included. As combining wave and Fokker-Planck solving is the focus, the computation of the dielectric response for arbitrary distribution functions is illustrated as well.
title Towards solving the ICRH wave and Fokker-Planck equations self-consistently
topic Plasma Physics
82D10, 82C31, 35L05, 35Q60
I.6.5
url https://arxiv.org/abs/2601.02130