Guiding-center recursive Vlasov and Lie-transform methods in plasma physics
arXiv:0903.4244 · doi:10.1017/S0022377809007946
Abstract
The gyrocenter phase-space transformation used to describe nonlinear gyrokinetic theory is rediscovered by a recursive solution of the Hamiltonian dynamics associated with the perturbed guiding-center Vlasov operator. The present work clarifies the relation between the derivation of the gyrocenter phase-space coordinates by the guiding-center recursive Vlasov method and the method of Lie-transform phase-space transformations.
18 pages