  Recently, a generalized Hasegawa-Mima (gHM) equation describing drift wave
turbulence in curved magnetic fields has been derived in [N. Sato and M.
Yamada, J. Plasma Phys. (2022), vol. 88, 905880319] for an ion-electron plasma
modeled as a two-fluid system. In this work, we show that a mathematically
equivalent GHM equation can be obtained within the kinetic framework of guiding
center motion, and that the relevant drift wave turbulence ordering can be
further relaxed, effectively generalizing the applicability of the equation to
any magnetic field geometry and electron spatial density, in the sense that no
ordering requirements involve spatial derivatives of the magnetic field or the
electron spatial density.
