Nonlinear finite-Larmor-radius effects in reduced fluid models

Brizard, A. J.; Denton, R. E.; Rogers, B.; Lotko, W.
August 2008
Physics of Plasmas;Aug2008, Vol. 15 Issue 8, p082302
Academic Journal
The polarization magnetization effects associated with the dynamical reduction leading to the nonlinear gyrokinetic Vlasov–Maxwell equations are shown to introduce nonlinear finite-Larmor-radius (FLR) effects into a set of nonlinear reduced-fluid equations previously derived by the Lagrangian variational method [A. J. Brizard, Phys. Plasmas 12, 092302 (2005)]. These intrinsically nonlinear FLR effects, which are associated with the transformation from guiding-center phase-space dynamics to gyrocenter phase-space dynamics, are different from the standard FLR corrections associated with the transformation from particle to guiding-center phase-space dynamics. We also present the linear dispersion relation results from a nonlinear simulation code using these reduced-fluid equations. The simulation results (in both straight dipole geometries) demonstrate that the equations describe the coupled dynamics of Alfvén sound waves and that the total simulation energy is conserved.


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