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Article Dans Une Revue Annals of Physics Année : 2015

Hamiltonian fluid reductions of electromagnetic drift-kinetic equations for an arbitrary number of moments

Résumé

We present an infinite family of Hamiltonian electromagnetic fluid models for plasmas, derived from drift-kinetic equations. An infinite hierarchy of fluid equations is obtained from a Hamiltonian drift-kinetic systems by taking moments of a generalized distribution function and using Hermite polynomials as weight functions of the velocity coordinate along the magnetic guide field. Each fluid model is then obtained by truncating the hierarchy to a finite number N + 1 of equations by means of a closure relation. We show that, for any positive N , a linear closure relation between the moment of order N + 1 and the moment of order N guarantees that the resulting fluid model possesses a Hamiltonian structure, thus respecting the Hamiltonian character of the parent drift-kinetic model. An orthogonal transformation is identified which maps the fluid moments to a new set of dynamical variables in terms of which the Poisson brackets of the fluid models become a direct sum and which unveils remarkable dynamical properties of the models in the two
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Dates et versions

hal-01188469 , version 1 (30-08-2015)

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E Tassi. Hamiltonian fluid reductions of electromagnetic drift-kinetic equations for an arbitrary number of moments. Annals of Physics, 2015, 362, pp.239. ⟨10.1016/j.aop.2015.08.001⟩. ⟨hal-01188469⟩
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