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Open AccessArticle

Influence of Toroidal Flow on Stationary Density of Collisionless Plasmas

1
CEA, IRFM, F-13108 St. Paul-lez-Durance CEDEX, France
2
Laboratory for Neural Computation and Adaptation, RIKEN Center for Brain Science, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
3
Space Research Institute, Profsoyuznaya 84/32, 117997 Moscow, Russia
4
Aix Marseille Univ., Université de Toulon, CNRS, CPT, Marseille, France
*
Author to whom correspondence should be addressed.
Fluids 2019, 4(3), 172; https://doi.org/10.3390/fluids4030172
Received: 27 June 2019 / Revised: 30 August 2019 / Accepted: 5 September 2019 / Published: 16 September 2019
(This article belongs to the Special Issue Modelling of Plasma Flow)
Starting from the given passive particle equilibrium particle cylindrical profiles, we built self-consistent stationary conditions of the Maxwell-Vlasov equation at thermodynamic equilibrium with non-flat density profiles. The solutions to the obtained equations are then discussed. It appears that the presence of an azimuthal (poloidal) flow in the plasma can ensure radial confinement, while the presence of a longitudinal (toroidal) flow can enhance greatly the confinement. Moreover in the global physically reasonable situation, we find that no unstable point can emerge in the effective integrable Hamiltonian of the individual particles, hinting at some stability of the confinement when considering a toroidal geometry in the large aspect ratio limit. View Full-Text
Keywords: Vlasov equation; hot plasma; Hamiltonian dynamics; magnetized fusion Vlasov equation; hot plasma; Hamiltonian dynamics; magnetized fusion
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MDPI and ACS Style

Laribi, E.; Ogawa, S.; Dif-Pradalier, G.; Vasiliev, A.; Garbet, X.; Leoncini, X. Influence of Toroidal Flow on Stationary Density of Collisionless Plasmas. Fluids 2019, 4, 172.

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