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Author: Alain Brizard
Requested Type: Pre-Selected Invited
Submitted: 2018-02-27 10:02:58


Contact Info:
Saint Michael's College
Saint Michael's College
Colchester, VT   05439

Abstract Text:
Nonlinear gyrokinetic Vlasov-Maxwell theory represents an important paradigm used to understand the complex reduced plasma dynamics of turbulent magnetized plasmas. Based on the Lagrangian and Eulerian variational formulations of nonlinear gyrokinetic theory, we can derive exact energy-momentum conservation laws that play a crucial role in the development of accurate gyrokinetic simulation algorithms.

In the present work, we show how various linearized reduced plasma models can be derived from a single quadratic variational principle, from which exact energy-momentum as well as wave-action conservation laws can be derived. Examples presented here include the linear drift-wave equation and the linear gyrokinetic-MHD equations.

Using a perturbative variational formulation for the Vlasov-Maxwell equations, we also derive a cubic variational principle, from which exact Manley-Rowe relations can be derived. Applications to the nonlinear reduced plasma models associated with the Hasegawa-Mima equation and the kinetic-MHD equations will be presented.

This work is funded by a U.S. DoE grant.