Symplectic Maps for Diverted Plasmas

Author(s):Show less -

Caldas, Ibere Luiz ; Bartoloni, Bruno F. ; Ciro, David ; Roberson, Geraldo ; Schelin, Adriane B. ; Kroetz, Tiago ; Roberto, Marisa ; Viana, Ricardo Luiz ; Iarosz, Kelly Cristiane ; Batista, Antonio Marcos ; Morrison, Philip J.

• Document type: Journal article
• Source: IEEE TRANSACTIONS ON PLASMA SCIENCE; v. 46, n. 7, p. 8-pg., 2018-07-01.

Abstract

Nowadays, divertors are used in the main tokamaks to control the magnetic field and to improve the plasma confinement. In this paper, we present analytical symplectic maps describing Poincare 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. (AU)

• FAPESP's process: 12/18073-1 - Symplectic transport in fusion diverted plasmas
• Grantee: David Ciro Taborda
• Support Opportunities: Scholarships in Brazil - Doctorate
• FAPESP's process: 11/19296-1 - Nonlinear dynamics
• Grantee: Iberê Luiz Caldas
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 15/07311-7 - Dynamic behaviour of neural networks
• Grantee: Kelly Cristiane Iarosz
• Support Opportunities: Scholarships in Brazil - Post-Doctoral