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

doi:10.1088/1674-1056/adc2de

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 of new functions called $R$ function and $R$ integration. This nonlinear model, based on the finitely distinguishable independent features (FDIF) hypothesis, enables the capture of the nature of the equilibrium state and non-equilibrium state. From this relaxation model, a general temperature relaxation model is derived when the velocity space exhibits spherical symmetry, and the general characteristic frequency of temperature relaxation is presented.

Keywords: finitely distinguishable independent features hypothesis kinetic moment-closed model King mixture model spherical symmetry nonlinearity

Received: 20 January 2025
Revised: 11 March 2025
Accepted manuscript online: 20 March 2025

PACS:	52.65.Ff	(Fokker-Planck and Vlasov equation)
	52.25.Fi	(Transport properties)
	52.25.Dg	(Plasma kinetic equations)
	52.35.Sb	(Solitons; BGK modes)

Fund: This work is supported by the Shuangchuang Ph.D Award (from World Prestigious Universities) (Grant No. JSSCBS20211303), Lianyungang Postdoctoral Science Foundation (Grant No. LYG20220014), and the National Natural Science Foundation of China (Grant No.120051410).

Corresponding Authors: Yanpeng Wang, Shichao Wu
E-mail: tangwang@mail.ustc.edu.cn;wusc@jou.edu.cn

Cite this article:

Yanpeng Wang(王彦鹏), Shichao Wu(吴士超), and Peifeng Fan(范培峰) General relaxation model for a homogeneous plasma with spherically symmetric velocity space 2025 Chin. Phys. B 34 065201

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

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