Hamiltonian closures for fluid models with four moments by dimensional analysis. (17th June 2015)

• Record Type: Journal Article
• Authors: Perin, M; Chandre, C; Morrison, P J; Tassi, E
• Is Part Of: Journal of physics. Volume 48:Number 27(2015)
• Publication Date: 2015-06-17
• Subjects: Vlasov equation -- Hamiltonian reduction -- Jacobi identity; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8113/48/27/275501
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: Fluid reductions of the Vlasov–Ampère equations that preserve the Hamiltonian structure of the parent kinetic model are investigated. Hamiltonian closures using the first four moments of the Vlasov distribution are obtained, and all closures provided by a dimensional analysis procedure for satisfying the Jacobi identity are found. Two Hamiltonian models emerge, for which the explicit closures are given, along with their Poisson brackets and Casimir invariants.