2024/09/16 by Yanpeng Wang, Shichao Wu, Wang, Yanpeng +3
Mathematics · Physics and Astronomy · #52.25.Dg #52.25.Fi #52.35.Sb #52.65.Ff #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Plasma Physics (physics.plasm-ph)
paper · pdf · doi:10.48550/arxiv.2409.10060
openalex publication_date 2024/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 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. 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.