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We analyze a Hamiltonian model with five wire loops that delineates themagnetic surfaces of the tokamak ITER, including a similar safety factorprofile and the X-point related to the presence of a poloidal divertor.Non-axisymmetric magnetic perturbations are added by external coils, similar tothe correction coils installed at the tokamak DIII-D and those that will beinstalled at ITER. To show the influence of magnetic perturbations on the fieldline escape, we integrate numerically the field line differential equations andobtain the footprints and deposition patterns on the divertor plate. Moreover,we show that the homoclinic tangle describes the deposition patterns in thedivertor plate, agreeing with results observed in sophisticated simulationcodes. Additionally, we show that while chaotic lines escape to the divertorplates, some of them are trapped, for many toroidal turns, in complexstructures around magnetic islands, embedded in the chaotic region, giving riseto the so called stickiness effect characteristic of chaotic Hamiltoniansystems. Finally, we introduce a random collisional term to the field linemapping to investigate stickiness alterations due to particle collisions.Within this model, we conclude that, even reduced by collisions, stickinessstill influences the field line transport.

Delineating the magnetic field line escape pattern and stickiness in a poloidally diverted tokamak