• Citer

Mean sojourn time fraction in frozen, homogenous, isotropic and self similar electrostatic turbulence

par Steinbrecher, György;Garbet, Xavier;Weyssow, Boris
Référence Annals of the University of Craiova, Physics, 22, page (1-14)
Publication Publié, 2012

Article révisé par les pairs

• Détails
• Contenu

Résumé :

In the framework of the general theory of random Hamiltonian dynamical systems the relation between the mean sojourn time fraction in an arbitrary domain and the projector to the subspace of the invariant function is established. In the particular case of the random formal Hamiltonian system related to the electrostatic drift motion in homogenous magnetic field, the limiting case, when the electrostatic potential is not differentiable is studied. By this result the general form of the projector to invariant states is established in the case of homogenous, isotropic and self similar electrostatic turbulence. We prove that with probability one all of the trajectories are either unbounded (that coresponds to sub, normal or super diffusion) either are degenerated to a single point, that means that in the physical case when the self similarity is approximate only the trajectories are closed curves with small area. Implications on the electron anomalous transport in tokamak are discussed.