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The polarization and magnetization effects associated with the dynamical reduction leading to the nonlinear gyrokinetic Vlasov-Maxwell equations are shown to introduce nonlinear finite-Larmor-radius effects into a set of nonlinear reduced-fluid equations previously derived by Lagrangian variational method [A.J.
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The variational treatment of the perturbed magnetic field used in Ref. [ 14 ] was based on the Euler-Lagrange representation ∇ ⋅ [ ∂ ℒ / ∂ ( ∇ ⊥ A ∥ ) ] \nabla\,\mbox{\boldmath$\cdot$}\,[\partial{\cal L}/\partial(\nabla_{\bot}A_{\|})] , while the variational treatment used in the present work is based on the Euler-Poincaré representation ∇ × ∂ ℒ / ∂ 𝐁 ⊥ \nabla\,\mbox{\boldmath$\times$}\,\partial{\cal L}/\partial{\bf B}_{\bot} [see Eq. ( 52
Cited in the paper.
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A. J. Brizard, Comm. Nonlinear Science Num. Simulation, 13
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R. E. Denton, B. Rogers, W. Lotko, and A. V. Streltsov, Phys. Plasmas 15
2008
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