LEVY STATISTICS IN A HAMILTONIAN SYSTEM

Enhanced diffusion in a Hamiltonian system is studied in terms of the continuous-time random walk formulation for Levy walks. The previous Levy-walk scheme is extended (i) to include interruptions by periods of temporal localization and (ii) to describe motion in two dimensions. We analyze a case of conservative motion in a two-dimensional periodic potential. Numerical calculations of the mean-squared displacements and the propagators for intermediate energies are consistent with the Levy-walk description.