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

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

2012-04-19

arxiv.org/abs/1204.4327v1

Physics

Plasma Physics

Scientific paper

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.

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