The properties of the first equation of the Vlasov chain of equations. (18th May 2015)

• Record Type: Journal Article
• Authors: Perepelkin, E E; Sadovnikov, B I; Inozemtseva, N G
• Is Part Of: Journal of statistical mechanics. (2015:May)
• Publication Date: 2015-05-18
• Subjects: 1; 1/110; Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2015/05/P05019
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: A derivation of the first Vlasov equation as a well-known Schrödinger equation for the probabilistic description of a system and families of the classic diffusion equations and heat conduction for the deterministic description of physical systems was inferred. A physical meaning of the phase of the wave function which is a scalar potential of the probabilistic flow velocity is demonstrated. Occurrence of the velocity potential vortex component leads to the Pauli equation for one of the spinar components. A scheme for the construction of the Schrödinger equation solution from the Vlasov equation solution and vice-versa is shown. A process of introduction of the potential to the Schrödinger equation and its interpretation are given. The analysis of the potential properties gives us the Maxwell equation, the equation of the kinematic point movement, and the equation for movement of the medium within electromagnetic fields.