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Metriplectic foundations of gyrokinetic Vlasov-Maxwell-Landau theory (2203.08464v1)
Published 16 Mar 2022 in physics.plasm-ph and physics.class-ph
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.