A Unified theory of tokamaks and stellarators

Abstract

Computational methods are described to study the equilibrium, stability, and transport of a fusion plasma confined by a magnetic field with toroidal geometry. Misconceptions in conventional theories of transport are analyzed and new results more consistent with experimental observations are presented. Specifications are given for an advanced stellarator designed to compete with tokamaks as a fusion reactor.

Investigation of Stabilities and Instabilities at Tokamak Plasma Behavior and Machine Learning with Big Data

“…Any magnetic field that breaks the exact axisymmetric of the equilibrium tokamak field is a non-integrable perturbation [7]. The KAM (Kolmogorov-Arnold-Moser) theory predicts that, for those irrational surfaces with safety factors sufficiently far from rational m/n, the topology is preserved and the surfaces are only slightly deformed from the unperturbed tori (KAM surfaces).…”

Optimal control of tokamak and stellarator plasma behaviour

“…When sufficient information is availabletopological and metrical characterization of a dynamical property-we enter the third phase, (c). In this phase, we apply the actuators according to the control algorithm to stabilize the plasma in a dynamical state, which can be tracked subsequently to optimise the overall performance [14][15][16][17][18].…”

Magnetic confinement for the 2D axisymmetric relativistic Vlasov-Maxwell system in an annulus

“…Regarding the situation where one applies a large external magnetic field to the system, the general theory of confining devices such as tokamaks and stellarators were studied in [18,50]. Regarding the magnetic confinement for the Vlasov-Poisson system, we mention the work of [3][4][5][6]34] and the numerical results of [10,14,15,17].…”