These notes were initially written when I visited University of Colorado at Boulder (Sept.-Nov. 2016), where I worked with Dr. Yang Chen, who said that most gyrokinetic simulations essentially employ Frieman-Chen’s nonlinear gyrokinetic equation. Therefore a careful re-derivation of the equation to get familiar to the gyrokinetic orderings and physics included in the model is highly desirable, which motivates me to write this note.
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