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947 Anomalous behaviors of the diffusion and mixing of chaotic orbits due to the intermittent sticking to the islands of normal tori and accelerator-mode tori in a widespread chaotic sea are studied numerically and theoretically for Hamiltonian systems with two degrees of freedom. The probability distribution functions for the coarse-grained velocity (characterizing the diffusion) and the coarse-grained expansion rate (characterizing the mixing) turn out to obey an anomalous scaling law whichdoi:10.1143/ptp.89.947 fatcat:m56ps6ddmvaovjp56eld3nu2fy