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Diffusion and Turbulence in Phase-space and Formation of Phase-space Vortices by Lobo, Allen; Sayal, Vinod Kumar is a scholarly article available to read on EtoBox.

What is Diffusion and Turbulence in Phase-space and Formation of Phase-space Vortices about?

In this work, the recently introduced fluid-like treatment of the phase-space has been further extended and some interesting outcomes have been presented. A modified form of the Vlasov equation has been presented which describes the diffusion of the phase-space density. This anisotropic diffusion is analysed and the flow of the phase-space probability field is shown. Growth of phase-space vortices is then shown due to increased turbulent-like flow, which is marked by the dominating inertial flow above the diffusive flow. The nature of this flow is judged by using a parameter for the phase-space. It is then shown that the formation of phase-space vortices is due to growth of turbulent-like flow in the phase-space. On the bases of the diffusion parameters, the vorticity field transport of the hydrodynamic phase-space is studied and a Schamel-KdV form of the vorticity transport equation is derived, suggesting solitary modes of the phase-space vorticity waves.

Author

Lobo, Allen; Sayal, Vinod Kumar

Published

2024

Language

EN