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arXiv · 2203.08464

Metriplectic foundations of gyrokinetic Vlasov-Maxwell-Landau theory

Eero Hirvijoki·Joshua W. Burby·Alain J. Brizard
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Abstract

This letter reports on a metriplectic formulation of collisional, nonlinear full-$f$ electromagnetic gyrokinetic theory compliant with energy conservation and monotonic entropy production. In an axisymmetric background magnetic field, the toroidal angular momentum is also conserved. Notably, a new collisional current, contributing to the gyrokinetic Maxwell-Amp\`ere equation and the gyrokinetic charge conservation law, is discovered.

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Eero Hirvijoki, Joshua W. Burby, Alain J. Brizard. 2022-03-16. Metriplectic foundations of gyrokinetic Vlasov-Maxwell-Landau theory. https://doi.org/10.1063/5.0091727

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