Global Superdiffusion of Weak Chaos

Abstract

A class of kicked rotors is introduced, exhibiting accelerator-mode islands (AIs) and {\em global} superdiffusion for {\em arbitrarily weak} chaos. The corresponding standard maps are shown to be exactly related to generalized web maps taken modulo an ``oblique cylinder''. Then, in a case that the web-map orbit structure is periodic in the phase plane, the AIs are essentially {\em normal} web islands folded back into the cylinder. As a consequence, chaotic orbits sticking around the AI boundary are accelerated {\em only} when they traverse tiny {\em ``acceleration spots''}. This leads to chaotic flights having a quasiregular {\em steplike} structure. The global weak-chaos superdiffusion is thus basically different in nature from the strong-chaos one in the usual standard and web maps.

REVTEX, 4 Figures: fig1.jpg, fig2.ps, fig3.ps, fig4.ps

References in corpus (4)

• Efficient Quantum Computing of Complex Dynamics
• Entanglement versus relaxation and decoherence in a quantum algorithm for quantum chaos
• Anomalous transport and quantum-classical correspondence
• Statistical properties of eigenvalues for an operating quantum computer with static imperfections

Cited by in corpus (5)

• Weak-Chaos Ratchet Accelerator
• Classical and Quantum Transport in One-Dimensional Periodically Kicked Systems
• Stability, Isolated Chaos, and Superdiffusion in Nonequilibrium Many-Body Interacting Systems
• Rotating Accelerator-Mode Islands
• Quantum Properties of Double Kicked Systems with Classical Translational Invariance in Momentum