Phys. Rev. Lett. 59, 2503–2506 (1987)Generic 1/f Noise in Chaotic Hamiltonian DynamicsReceived 10 August 1987; published in the issue dated 30 November 1987 We describe a mechanism for generic 1/f noise in nonintegrable Hamiltonian systems. The phenomenon is observed in the velocity fluctuations of a particle in a 2D periodic potential and is associated with anomalously enhanced deterministic diffusion. It is explained in terms of a renewal process and trapping in a hierarchy of nested cantori. © 1987 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.59.2503
DOI:
10.1103/PhysRevLett.59.2503
PACS:
05.45.+b, 05.40.+j, 66.30.-h
See AlsoComment: B. V. Chirikov and D. L. Shepelyansky, Renormalization Chaos and Motion Statistical Properties, Phys. Rev. Lett. 61, 1039 (1988). Comment: T. Geisel, A. Zacherl, and G. Radons, Geisel, Zacherl, and Radons Reply, Phys. Rev. Lett. 61, 1040 (1988). |
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