On push-forward representations in the standard gyrokinetic model

Miyato, Naoaki; Yagi, Masatoshi; Scott, B. D.*

Two representations of fluid moments, which are called push-forward representations, are compared in the standard electrostatic gyrokinetic model. In the conventional representation the gyro-center part appears as the pull-back transformation of the gyro-center distribution function which contains scalar functions generating the gyro-center transformation. Usually only the lowest order solution of the generating function at first order is considered. This is true in explicitly deriving representations of scalar fluid moments with polarization terms. However, higher-order solutions are needed to derive finite Larmor radius terms of particle flux including the polarization flux from the conventional representation. On the other hand, the lowest order solution is sufficient for the other representation in which the gyro-center part is combined with the guiding-center one and the pull-back transformation of the distribution function does not appear.