Abstract
Mathematical formalism to solve a system of general moment equations [J.-Y. Ji and E. D. Held, Phys. Plasmas 13, 102103 (2006); 16, 102108 (2009)] for magnetized plasmas is presented. A series of ordered moment equations are written using a perturbative expansion based on large cyclotron frequency. For the most general solution, formulas for homogeneous and particular solutions are obtained. These formulas generalize the CGL [G. F. Chew et al., Proc. R. Soc. London, Ser. A 236, 112 (1956)] and non-CGL [C. T. Hsu et al., Phys. Fluids 29, 1480 (1986)] tensors, respectively, from rank-2 to arbitrary rank. The parallel moment equations to determine parallel moments in the homogeneous solution are derived. The formalism can be applied to plasmas of general collisionality and magnetic geometry with accurate collision operators provided.
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