Perturbative variational formulation of the Vlasov-Maxwell equations

Brizard, Alain J.

doi:10.1063/1.5049570

Perturbative variational formulation of the Vlasov-Maxwell equations

Journal Article · Mon Nov 26 00:00:00 EST 2018 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5049570· OSTI ID:1612062

^[1]

Saint Michael's College, Colchester, VT (United States); DOE/OSTI

The perturbative variational formulation of the Vlasov-Maxwell equations is presented up to the third order in the perturbation analysis. From the second and third-order Lagrangian densities, the first-order and second-order Vlasov-Maxwell equations are expressed in gauge-invariant and gauge-independent forms, respectively. Upon deriving the reduced second-order Vlasov-Maxwell Lagrangian for the linear nonadiabatic gyrokinetic Vlasov-Maxwell equations, the reduced Lagrangian densities for the linear drift-wave equation and the linear hybrid kinetic-magnetohydrodynamic (MHD) equations are derived, with their associated wave-action conservation laws obtained by the Noether method. The exact wave-action conservation law for the linear hybrid kinetic-MHD equations is written explicitly. To conclude, a new form of the third-order Vlasov-Maxwell Lagrangian is derived in which ponderomotive effects play a crucial role.

View Accepted Manuscript (DOE)

Research Organization:: Saint Michael's College, Colchester, VT (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC)

Grant/Contract Number:: SC0014032

OSTI ID:: 1612062

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 11 Vol. 25; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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