2014/03/12 by M. Perin, Maxime Perin, C. Chandre +5
Engineering · Mathematics · Physics and Astronomy · #Casimir effect #Covariant Hamiltonian field theory #First class constraint #Gas Dynamics and Kinetic Theory #Hamiltonian (control theory) #Hamiltonian mechanics #Poisson bracket #Poisson distribution #Poisson's equation #Statistical Mechanics and Entropy #Thermoelastic and Magnetoelastic Phenomena #Vlasov equation #nlin.CD #physics.class-ph #physics.plasm-ph
paper · pdf · doi:10.1016/j.aop.2014.05.011
arxiv created 2014/03/12 · openalex publication_date 2014/05/22 · arxiv updated 2014/06/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
From the Hamiltonian structure of the Vlasov equation, we build a Hamiltonian model for the first three moments of the Vlasov distribution function, namely, the density, the momentum density and the specific internal energy. We derive the Poisson bracket of this model from the Poisson bracket of the Vlasov equation, and we discuss the associated Casimir invariants.