Hamiltonian Theory of Resonant Transport Regimes in Tokamaks with Perturbed Axisymmetry
Seiten
2020
Verlag d. Technischen Universität Graz
9783851257465 (ISBN)
Verlag d. Technischen Universität Graz
9783851257465 (ISBN)
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Non-axisymmetric perturbations can have a strong influence on the toroidal rotation of tokamak plasmas. This work provides theoretical background and a consistent Hamiltonian description of this phenomenon for plasma species in reactor-relevant low-collisional resonant transport regimes.
Resonant transport regimes in tokamaks with nonaxisymmetric perturbations are treated by the application of Hamiltonian perturbation theory in action-angle variables. The main advantages of this method are the independence from assumptions on geometry such as the large-aspect-ratio limit and its extensibility to non-linear regimes. In the context of this problem, weakly non-linear theory is applied to go beyond the quasilinear limit and allow for a physically consistent transition between limiting cases. The initial part introduces methods for studying resonant effects in a perturbed Hamiltonian system subject to collisional effects. The approach is then applied to the specific problem of resonant transport regimes in a non-axisymmetrically perturbed tokamak plasma. Results from computations confirm the significance of contributions from those regimes to neoclassical toroidal viscous torque in medium-sized tokamaks with magnetic perturbations from coils installed for the control of edge-localized modes. The major practical features of this work relevant for quantitative evaluation of toroidal torque are complete geometry, consideration of magnetic drift, magnetic shear and the transition region between quasilinear and non-linear regimes.
Resonant transport regimes in tokamaks with nonaxisymmetric perturbations are treated by the application of Hamiltonian perturbation theory in action-angle variables. The main advantages of this method are the independence from assumptions on geometry such as the large-aspect-ratio limit and its extensibility to non-linear regimes. In the context of this problem, weakly non-linear theory is applied to go beyond the quasilinear limit and allow for a physically consistent transition between limiting cases. The initial part introduces methods for studying resonant effects in a perturbed Hamiltonian system subject to collisional effects. The approach is then applied to the specific problem of resonant transport regimes in a non-axisymmetrically perturbed tokamak plasma. Results from computations confirm the significance of contributions from those regimes to neoclassical toroidal viscous torque in medium-sized tokamaks with magnetic perturbations from coils installed for the control of edge-localized modes. The major practical features of this work relevant for quantitative evaluation of toroidal torque are complete geometry, consideration of magnetic drift, magnetic shear and the transition region between quasilinear and non-linear regimes.
| Erscheinungsdatum | 04.08.2021 |
|---|---|
| Reihe/Serie | Computation in Engineering and Science ; 38 | Monographic Series TU Graz |
| Verlagsort | Graz |
| Sprache | englisch |
| Maße | 155 x 225 mm |
| Einbandart | kartoniert |
| Themenwelt | Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik |
| Schlagworte | hamiltonian mechanics • magnetic confinement fusion • Plasma physics • theoretical physics |
| ISBN-13 | 9783851257465 / 9783851257465 |
| Zustand | Neuware |
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Buch | Softcover (2022)
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