title: Channeling and percolation in two-dimensional chaotic dynamics.
abstract: The Hamiltonian dynamics of a particle moving in a nearly periodic two-dimensional (2-D) potential of square symmetry is analyzed. The particle undergoes two types of unbounded stochastic or random walks in such a system: a quasi-1-D motion (a "stochastic channeling") and a 2-D motion which results from a sort of stochastic percolation. A scenario for the onset of this stochastic percolation is analyzed. The threshold energy for percolation is found as a function of the perturbation parameter. Each type of random walk has the property of intermittency. The particle transport is anomalous in certain energy intervals.
authors.affiliation: Institute of Space Research, Academy of Sciences of the USSR, Profsoyuznaya 84/32, Moscow 117810, USSR.
authors.forename: D. K.
authors.initials: DK
authors.lastname: Chaikovsky
authors.forename: G. M.
authors.initials: GM
authors.lastname: Zaslavsky