In this comment, we show that by using the discrete particle distribution function the changes of the phase-space volume of gyrocenter coordinates due to the fluctuating E×B velocity do not explicitly appear in the Poisson equation and the [Sosenko et al., Phys. Scr. 64, 264 (2001)] result is recovered. It is demonstrated that there is no contradiction between the work presented by Sosenko et al. and the work presented by [Wang et al., Phys. Plasmas 17, 082304 (2010)].
Leerink, S., Parra, F. I., & Heikkinen, J. A. (2010). Comment on "Nonlinear gyrokinetic theory with polarization drift" [Phys. Plasmas 17, 082304 (2010)]. Physics of Plasmas, 17(12), . https://doi.org/10.1063/1.3521605