Vlasov-Fokker-Planck description of plasma stability
✍ Scribed by Spiga, G.; Willis, B. L.; Zweifel, P. F.
- Book ID
- 111645632
- Publisher
- Taylor and Francis Group
- Year
- 1981
- Tongue
- English
- Weight
- 303 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0041-1450
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## Abstract In this paper we investigate the non‐linear Vlasov–Fokker–Planck (VFP) equation, a both physically and mathematically interesting modification of Vlasov's equation, which describes a plasma in a thermal bath. We prove existence, uniqueness and representation results for steady states of
The form of steady state solutions to the Vlasov᎐Poisson᎐Fokker᎐Planck system is known from the works of Dressler and others. In these papers an external < < potential is present which tends to infinity as x ª ϱ. It is shown here that this assumption is needed to obtain nontrivial steady states. Thi