Relaxation model for a homogeneous plasmas with spherically symmetric velocity space

分类： 物理学 >> 气体、等离子体、放电物理 分类： 物理学 >> 普通物理:统计和量子力学,量子信息等 提交时间： 2025-01-01

Yangpeng Wang Jianyuan Xiao Xianhao Rao Pengfei Zhang Yolbarsop Adil Ge Zhuang

摘要： 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 hypergeometric2F1 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.

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