On Vlasov approach to tokamaks near magnetic axis
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A previous proof of non existence of tokamak equilibria with purely poloidal flow within macroscopic theory [Throumoulopoulos, Weitzner, Tasso, Physics of Plasmas Vol. 13, 122501 (2006)] motivated this microscopic analysis near magnetic axis for toroidal and "straight" tokamak plasmas. Despite the new exact solutions of Vlasov's equation found here, the structure of macroscopic flows remains elusive.
The last term sign of Eq. (3) in the previous version of the report is corrected here along with consequent sign corrections in subsequent equations up to (10). However, those modifications have no impact on the Conclusions
The last term sign of Eq. (3) in the previous version of the report is corrected here along with consequent sign corrections in subsequent equations up to (10). However, those modifications have no impact on the Conclusions