Channeling and percolation in two-dimensional chaotic dynamics.
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.
Chaikovsky
D. K.
DK
Institute of Space Research, Academy of Sciences of the USSR, Profsoyuznaya 84/32, Moscow 117810, USSR.
Zaslavsky
G. M.
GM