相空间中的扩散与湍流及相空间旋流的形成
摘要
本文进一步扩展了最近提出的相空间流动类处理方法，并呈现了一些有趣的结果。 presented a modified form of the Vlasov equation 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.
关键词
引用
@article{arxiv.2410.22840,
title = {Diffusion and turbulence in phase-space and formation of phase-space vortices},
author = {Allen Lobo and Vinod Kumar Sayal},
journal= {arXiv preprint arXiv:2410.22840},
year = {2024}
}