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Symplectic Maps for Diverted Plasmas

Authors :
Caldas, I. L.
Bartoloni, B. F.
Ciro, D.
Roberson, G.
Schelin, A. B.
Kroetz, Tiago
Roberto, Marisa
Viana, Ricardo L.
Iarosz, Kelly C.
Batista, Antonio M.
Morrison, Philip J.
Publication Year :
2017

Abstract

Nowadays, divertors are used in the main tokamaks to control the magnetic field and to improve the plasma confinement. In this article, we present analytical symplectic maps describing Poincar\'e maps of the magnetic field lines in confined plasmas with a single null poloidal divertor. Initially, we present a divertor map and the tokamap for a diverted configuration. We also introduce the Ullmann map for a diverted plasma, whose control parameters are determined from tokamak experiments. Finally, an explicit, area-preserving and integrable magnetic field line map for a single-null divertor tokamak is obtained using a trajectory integration method to represent toroidal equilibrium magnetic surfaces. In this method, we also give examples of onset of chaotic field lines at the plasma edge due to resonant perturbations.

Subjects

Subjects :
Physics - Plasma Physics

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1710.10127
Document Type :
Working Paper
Full Text :
https://doi.org/10.1109/TPS.2018.2797120