Symplectic Maps for Diverted Plasmas
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.
Keywords
Cite
@article{arxiv.1710.10127,
title = {Symplectic Maps for Diverted Plasmas},
author = {I. L. Caldas and B. F. Bartoloni and D. Ciro and G. Roberson and A. B. Schelin and Tiago Kroetz and Marisa Roberto and Ricardo L. Viana and Kelly C. Iarosz and Antonio M. Batista and Philip J. Morrison},
journal= {arXiv preprint arXiv:1710.10127},
year = {2018}
}