Abstract
In this paper we have studied an Ergodic Magnetic Limiter (EML) based chaotic magnetic field for transport control in the edge plasma of IR-T1 tokamak. The resonance created by the EML causes perturbation of the equilibrium field line in tokamak and as a result, the field lines are chaotic in the vicinity of the dimerized island chains. Transport barriers are formed in the chaotic field line and actually observe in tokamak with reverse magnetic shear. We used area-preserving non-twist (and twist) Poincaré maps to describe the formation of transport barriers, which are actually features of Hamiltonian systems. This transport barrier is useful in reducing radial diffusion of the field line and thus improving the plasma confinement.
Highlights
In order to better confinement in the tokamak plasma, the magnetic field can be modified at the edge of it
We used an Ergodic magnetic limiter to create a chaotic layer inside the plasma column
We use Non-twist maps to investigation the Ergodic Magnetic Limiter (EML) on the structure of the magnetic field line caused by the plasma current profile that represents the reversed magnetic shear
Summary
Hamiltonian or simplistic map systems can be classified as twist maps in which the rotation number increase monotonically otherwise they are non-twist. The best description for negative shear configurations is done by the non-twist area-preserving map.[15,16] If the safety factor is a monotonic function, we have a twist map, for which some theoretical results, such as Kolmogorov-Arnold-Moser (KAM), Poincar e-Birkhoff, and Aubry–Mather theorems, are true.
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