Creation of a Transport Barrier for the E x B drift in magnetized plasmas

Overview & Synopsis

We modelize the chaotic dynamics of charged test-particles in a turbulent electric field, across the confining magnetic field in controlled thermonuclear fusion devices by a 1.5 degrees of freedom Hamiltonian dynamical system. The external electric field E is given by a some potential V and the magnetic field B is considered uniform. We prove that, by introducing a small additive control term to the external electric field, it is possible to create a transport barrier. The robustness of this control method is also numerically investigated.