14 citations · 32 across the 4 of their papers we have counts for
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Lifting of the Vlasov-Maxwell Bracket by Lie-transform Method
A. J. Brizard, P. J. Morrison, J. W. Burby +2
The Vlasov-Maxwell equations possess a Hamiltonian structure expressed in terms of a Hamiltonian functional and a functional bracket. In the present paper, the transformation ("lif…
On an intrinsic approach of the guiding-center anholonomy and gyro-gauge-arbitrariness
Loïc De Guillebon, Michel Vittot
In guiding center theory, the standard gyro-angle coordinate is associated with gyro-gauge dependence, the global existence problem for unit vectors perpendicular to the magnetic f…
A gyro-gauge independent minimal guiding-center reduction by Lie-transforming the velocity vector field
Loïc De Guillebon, Vittot Michel
We introduce a gyro-gauge independent formulation of a simplified guiding-center reduction, which removes the fast time-scale from particle dynamics by Lie-transforming the velocit…
Hamiltonian structure of reduced fluid models for plasmas obtained from a kinetic description
Loïc De Guillebon, Cristel Chandre
We consider the Hamiltonian structure of reduced fluid models obtained from a kinetic description of collisionless plasmas by Vlasov-Maxwell equations. We investigate the possibili…