Hamiltonian guiding center equations in a toroidal system

摘要: A Hamiltonian method to study the guiding center motion of charged particles in a toroidal magnetic system has been developed. It uses cylindrical coordinate instead on which many conventional standard methods are based. The six-dimensional (6D) equations for derived by canonical transformation fast-oscillating variables slowly varying ones coordinates. is shown that one these variables, i.e., action variable conjugated gyrophase an adiabatic invariant tokamak equilibrium field perturbed external time-dependent field. This allows reduce 6D 4D one. valid and electric fields, especially, ergodic where spatial temporal scales variation much larger than gyroradius gyroperiod.