English

General relaxation model for a homogeneous plasma with spherically symmetric velocity space

Plasma Physics 2025-01-22 v3 Mathematical Physics math.MP

Abstract

A kinetic moment-closed model (KMCM), derived from the Vlasov-Fokker-Planck (VFP) equation with spherically symmetric velocity space, is introduced as a general relaxation model for homogeneous plasmas. The closed form of this model is presented by introducing a set new functions called RR function and RR integration. This nonlinear model, based on the finitely distinguishable independent features (FDIF) hypothesis, enables the capture of the nature of the equilibrium state. From this relaxation model, a general temperature relaxation model is derived when velocity space exhibits spherical symmetry, and the general characteristic frequency of temperature relaxation is presented.

Keywords

Cite

@article{arxiv.2409.10060,
  title  = {General relaxation model for a homogeneous plasma with spherically symmetric velocity space},
  author = {Yanpeng Wang and Shichao Wu and Peifeng Fan},
  journal= {arXiv preprint arXiv:2409.10060},
  year   = {2025}
}

Comments

17 pages, 1 figures. arXiv admin note: text overlap with arXiv:2408.01613