Direct perturbative gyrokinetic approach for non Hamiltonian systems

A fundamental aspect of gyrokinetic theory and particle simulation approaches is the formulation of particle gyrokinetic theory for non-Hamiltonian systems. The most notable example is given by the equations of the characteristics for stochastical partial derivative equations, which describe a collisional magnetoplasma in the presence of perturbations. In this work, a new perturbative approach is developed in order to generalize a non-linear gyrokinetic to non-Hamiltonian systems. (orig.)