New Variational Principle for the Vlasov-Maxwell Equations

Journal Article · Mon Jun 19 00:00:00 EDT 2000 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.84.5768· OSTI ID:20216893

Brizard, Alain J

A new Eulerian variational principle is presented for the Vlasov-Maxwell equations. This principle uses constrained variations for the Vlasov distribution in eight-dimensional extended phase space. The standard energy-momentum conservation law is then derived explicitly by the Noether method. This new variational principle can be applied to various reduced Vlasov-Maxwell equations in which fast time scales have been asymptotically eliminated (e.g., low-frequency gyrokinetic theory). (c) 2000 The American Physical Society.

• OSTI ID: 20216893
• Journal Information: Physical Review Letters, Vol. 84, Issue 25; Other Information: PBD: 19 Jun 2000; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BOLTZMANN-VLASOV EQUATION
MAXWELL EQUATIONS
VARIATIONAL METHODS
KINETIC EQUATIONS
CONSERVATION LAWS
THEORETICAL DATA