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The derivation of electromagnetic gyrofluid equations is made systematic byusing the Hermite polynomial form of the underlying delta-f gyrokineticdistribution function. The gyrokinetic free-energy functional is explicitlyused to set up the model. The gyrofluid free energy follows directly. Theinteraction term in the gyrokinetic Lagrangian is used to obtain the gyrofluidcounterpart, from which the polarisation equation follows. One closure rule isdecided for taking moments over the kinetic gyroaveraging operator. These stepsfix the rest of the derivation of the conservative part of the gyrofluidequations. Dissipation is then added in a form to obtain positive definitedissipation and to obtain the collisional fluid equations in their appropriatelimit. Existing results are recovered, with the addition of a completelyconsistent model for finite gyroradius effects in the nonlinearitiesresponsible for magnetic reconnection.

Derivation via free energy conservation constraints of gyrofluid equations with finite-gyroradius electromagnetic nonlinearities