Relaxation model for a homogeneous plasmas with spherically symmetric velocity space

doi:10.1088/1674-1056/ad9455

Abstract We derive the transport equations from the Vlasov-Fokker-Planck equation when the velocity space is spherically symmetric. The Shkarofsky's form of Fokker-Planck-Rosenbluth collision operator is employed in the Vlasov-Fokker-Planck equation. A closed-form relaxation model for homogeneous plasmas could be presented in terms of Gauss hypergeometric ${}_2$F$_1$ functions. This has been accomplished based on the Maxwellian mixture model. Furthermore, we demonstrate that classic models such as two-temperature thermal equilibrium model and thermodynamic equilibrium model are special cases of our relaxation model and the zeroth-order Braginskii heat transfer model can also be derived. The present relaxation model is a nonequilibrium model based on the hypothesis that the plasmas system possesses finitely distinguishable independent features, without relying on the conventional near-equilibrium assumption.

Keywords: finitely distinguishable independent features hypothesis Maxwellian mixture model Fokker-Planck-Rosenbluth collision operator spherical symmetry

Received: 03 July 2024
Revised: 02 November 2024
Accepted manuscript online: 19 November 2024

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: Project supported by the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant Nos. XDB0500302 and LSKJ202300305).

Corresponding Authors: Jianyuan Xiao, Xianhao Rao
E-mail: xiaojy@ustc.edu.cn;rrxxhh@mail.ustc.edu.cn

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Yanpeng Wang(王彦鹏), Jianyuan Xiao(肖建元), Xianhao Rao(饶贤昊), Pengfei Zhang(张鹏飞), Yolbarsop Adil(阿迪里), and Ge Zhuang(庄革) Relaxation model for a homogeneous plasmas with spherically symmetric velocity space 2025 Chin. Phys. B 34 015202

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Relaxation model for a homogeneous plasmas with spherically symmetric velocity space

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