Full hamiltonian description of the interaction of particles with magnetic islands in Tokamak

In this letter, the effect of full Hamiltonian approach to plasma particle dynamics, in the presence of magnetic islands in a tokamak, is discussed. Usually, for the estimation of the diffusion of particles, the stochasticity regime of magnetic field lines is considered as sufficient. We have found that for ions in Hamiltonian description, the diffusive character of their trajectories considerably differs from the diffusive character of magnetic field lines. This then could have, among others, an influence on the performance of the ergodic divertor.