Stability criterion of spatially inhomogeneous solutions to the Vlasov equation. (16th October 2017)

• Record Type: Journal Article
• Authors: Ogawa, Shun
• Is Part Of: Journal of physics. Volume 50:Number 45(2017)
• Publication Date: 2017-10-16
• Subjects: Vlasov equation -- linearized Vlasov equation -- long-range interaction -- quasistationary states -- formal stability; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aa8dbb
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: Stability of spatially inhomogeneous stationary solutions to the Vlasov equation for multi-dimensional systems is investigated. The formal stability criterion taking into account all of the Casimir invariants is derived in an explicit form without use of the angle-action variables of a single particle's Hamiltonian associated with a stationary solutions to the Vlasov equation, when biorthogonal basis can be defined.