Artículos de revistas
Integrable maps with non-trivial topology: application to divertor configurations
Fecha
2010Registro en:
NUCLEAR FUSION, v.50, n.3, Special Issue, 2010
0029-5515
10.1088/0029-5515/50/3/034003
Autor
Kroetz, Tiago
Roberto, Marisa
Caldas, Ibere Luiz
Viana, Ricardo Luiz
Morrison, P J
Abbamonte, P
Institución
Resumen
We explore a method for constructing two-dimensional area-preserving, integrable maps associated with Hamiltonian systems, with a given set of fixed points and given invariant curves. The method is used to find an integrable Poincare map for the field lines in a large aspect ratio tokamak with a poloidal single-null divertor. The divertor field is a superposition of a magnetohydrodynamic equilibrium with an arbitrarily chosen safety factor profile, with a wire carrying an electric current to create an X-point. This integrable map is perturbed by an impulsive perturbation that describes non-axisymmetric magnetic resonances at the plasma edge. The non-integrable perturbed map is applied to study the structure of the open field lines in the scrape-off layer, reproducing the main transport features obtained by integrating numerically the magnetic field line equations, such as the connection lengths and magnetic footprints on the divertor plate.