Influence of Toroidal Flow on Stationary Density of Collisionless Plasmas
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 t...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-09-01
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| Series: | Fluids |
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| Online Access: | https://www.mdpi.com/2311-5521/4/3/172 |
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| author | Elias Laribi Shun Ogawa Guilhem Dif-Pradalier Alexei Vasiliev Xavier Garbet Xavier Leoncini |
| author_facet | Elias Laribi Shun Ogawa Guilhem Dif-Pradalier Alexei Vasiliev Xavier Garbet Xavier Leoncini |
| author_sort | Elias Laribi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T18:54:22Z |
| format | Article |
| id | doaj.art-61c308f3f57b44eaaf71b4ef938acc91 |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-12-10T18:54:22Z |
| publishDate | 2019-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-61c308f3f57b44eaaf71b4ef938acc912022-12-22T01:37:13ZengMDPI AGFluids2311-55212019-09-014317210.3390/fluids4030172fluids4030172Influence of Toroidal Flow on Stationary Density of Collisionless PlasmasElias Laribi0Shun Ogawa1Guilhem Dif-Pradalier2Alexei Vasiliev3Xavier Garbet4Xavier Leoncini5CEA, IRFM, F-13108 St. Paul-lez-Durance CEDEX, FranceLaboratory for Neural Computation and Adaptation, RIKEN Center for Brain Science, 2-1 Hirosawa, Wako, Saitama 351-0198, JapanCEA, IRFM, F-13108 St. Paul-lez-Durance CEDEX, FranceSpace Research Institute, Profsoyuznaya 84/32, 117997 Moscow, RussiaCEA, IRFM, F-13108 St. Paul-lez-Durance CEDEX, FranceAix Marseille Univ., Université de Toulon, CNRS, CPT, Marseille, FranceStarting 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.https://www.mdpi.com/2311-5521/4/3/172Vlasov equationhot plasmaHamiltonian dynamicsmagnetized fusion |
| spellingShingle | Elias Laribi Shun Ogawa Guilhem Dif-Pradalier Alexei Vasiliev Xavier Garbet Xavier Leoncini Influence of Toroidal Flow on Stationary Density of Collisionless Plasmas Fluids Vlasov equation hot plasma Hamiltonian dynamics magnetized fusion |
| title | Influence of Toroidal Flow on Stationary Density of Collisionless Plasmas |
| title_full | Influence of Toroidal Flow on Stationary Density of Collisionless Plasmas |
| title_fullStr | Influence of Toroidal Flow on Stationary Density of Collisionless Plasmas |
| title_full_unstemmed | Influence of Toroidal Flow on Stationary Density of Collisionless Plasmas |
| title_short | Influence of Toroidal Flow on Stationary Density of Collisionless Plasmas |
| title_sort | influence of toroidal flow on stationary density of collisionless plasmas |
| topic | Vlasov equation hot plasma Hamiltonian dynamics magnetized fusion |
| url | https://www.mdpi.com/2311-5521/4/3/172 |
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