Hamiltonian structure of reduced fluid models for plasmas obtained from a kinetic description

Abstract

We consider the Hamiltonian structure of reduced fluid models obtained from a kinetic description of collisionless plasmas by Vlasov-Maxwell equations. We investigate the possibility of finding Poisson subalgebras associated with fluid models starting from the Vlasov-Maxwell Poisson algebra. In this way, we show that the only possible Poisson subalgebra involves the moments of zeroth and first order of the Vlasov distribution, meaning the fluid density and the fluid velocity. We find that the bracket derived in [Phys. Rev. Lett. 93, 175002 (2004)] which involves moments of order 2 is not a Poisson bracket since it does not satisfy the Jacobi identity.

References in corpus (3)

• A Landau fluid model for warm collisionless plasmas
• On the Hamiltonian formulation of incompressible ideal fluids and magnetohydrodynamics via Dirac's theory of constraints
• Derivation of reduced two-dimensional fluid models via Dirac's theory of constrained Hamiltonian systems

Cited by in corpus (5)

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• Generalized fluid theory including non-Maxwellian kinetic effects
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• Four-field Hamiltonian fluid closures of the one-dimensional Vlasov-Poisson equation