PSI-Vlasov equation
E.E. Perepelkin, B.I. Sadovnikov, N.G. Inozemtseva, I.I. Aleksandrov
TL;DR
This paper introduces a new PSI-Vlasov equation derived from the third Vlasov equation, enabling natural description of dissipative systems with applications in plasma physics, accelerator physics, and astrophysics.
Contribution
It presents a novel PSI-Vlasov equation based on the third Vlasov equation, allowing for direct modeling of dissipation without phenomenological modifications.
Findings
Enables natural description of dissipative systems
Facilitates construction of conservative numerical schemes
Applicable to plasma, accelerator, and astrophysics systems
Abstract
A new equation for describing physical systems with radiation is obtained in this paper. Examples of such systems can be found in plasma physics, accelerator physics (synchrotron radiation) and astrophysics (gravitational waves). The new equation is written on the basis of the third Vlasov equation for the probability density distribution function of kinematic quantities: coordinates, velocities and accelerations. The constructed new Vlasov PSI - equation makes it possible to describe naturally dissipation systems instead of phenomenological modifications of the second Vlasov equation, and to construct conservative difference schemes in numerical simulation.
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Taxonomy
TopicsGas Dynamics and Kinetic Theory · Nonlinear Waves and Solitons · Space Satellite Systems and Control