Hamiltonian fluid reductions of drift-kinetic equations and the link with water-bags. (20th June 2016)

• Record Type: Journal Article
• Authors: Perin, M; Chandre, C; Tassi, E
• Is Part Of: Journal of physics. Volume 49:Number 30(2016)
• Publication Date: 2016-06-20
• Subjects: Hamiltonian system -- drift-kinetic equation -- fluid reduction -- water-bag; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/49/30/305501
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: Hamiltonian models for the first three moments of the drift-kinetic distribution function, namely the density, the fluid velocity and the parallel pressure, are derived from the Hamiltonian structure of the drift-kinetic equations. The link with the water-bag closure is established, showing that, unlike the one-dimensional Vlasov equations, these solutions are the only Hamiltonian fluid reductions for the drift-kinetic equation. These models are discussed through their equations of motion and their Casimir invariants.