中国物理B ›› 2025, Vol. 34 ›› Issue (6): 65201-065201.doi: 10.1088/1674-1056/adc2de

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

Yanpeng Wang(王彦鹏)1,†‡, Shichao Wu(吴士超)2,3,†§, and Peifeng Fan(范培峰)4   

  1. 1 School of Nuclear Sciences and Technology, University of Science and Technology of China, Hefei 230026, China;
    2 School of Science, Jiangsu Ocean University, Lianyungang 222005, China;
    3 Jiangsu Institute of Marine Resources Development, Lianyungang 222005, China;
    4 School of Physics and Optoelectronic Engineering, Anhui University, Hefei 230601, China
  • 收稿日期:2025-01-20 修回日期:2025-03-11 接受日期:2025-03-20 出版日期:2025-05-16 发布日期:2025-06-12
  • 通讯作者: Yanpeng Wang, Shichao Wu E-mail:tangwang@mail.ustc.edu.cn;wusc@jou.edu.cn
  • 基金资助:
    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).

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

Yanpeng Wang(王彦鹏)1,†‡, Shichao Wu(吴士超)2,3,†§, and Peifeng Fan(范培峰)4   

  1. 1 School of Nuclear Sciences and Technology, University of Science and Technology of China, Hefei 230026, China;
    2 School of Science, Jiangsu Ocean University, Lianyungang 222005, China;
    3 Jiangsu Institute of Marine Resources Development, Lianyungang 222005, China;
    4 School of Physics and Optoelectronic Engineering, Anhui University, Hefei 230601, China
  • Received:2025-01-20 Revised:2025-03-11 Accepted:2025-03-20 Online:2025-05-16 Published:2025-06-12
  • Contact: Yanpeng Wang, Shichao Wu E-mail:tangwang@mail.ustc.edu.cn;wusc@jou.edu.cn
  • Supported by:
    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).

摘要: 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.

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

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.

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

中图分类号:  (Fokker-Planck and Vlasov equation)

  • 52.65.Ff
52.25.Fi (Transport properties) 52.25.Dg (Plasma kinetic equations) 52.35.Sb (Solitons; BGK modes)