Nonuniversality of transport for the standard map
Chaotic transport is investigated for the standard map for different values of stochasticity parameter K. It is found that the form of the transport coefficient is a strong function of K, and that this variation is associated with the formation and disappearance of complex multi-island structures. For some values of the parameter K superdiffusion is associated with the existence of exact chains of self-similar islands attached to accelerator islands, giving rise to long time stickiness of orbits. Close to threshold other types of multi-island structures cause stickiness. In both cases the phase space of these traps, and the exponents of the characteristic long time tails associated with them are determined. Computational procedures for the anomalous exponents and intermediate asymptotics are discussed in many details.
PACS numbers05.45.+b 47.52.+j 05.60.+w 47.53.+n
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- Afraimovich V. and Zaslavsky G. M. to appear.Google Scholar
- Afraimovich V. and Zaslavsky G. M. (1997): Phys. Rev. E 5418.Google Scholar
- Beloshapkin V. V., Zaslavsky G. M. (1983): Phys. Rev. A 97, 121.Google Scholar
- Benettin G., Galgani L. and Strelcyn J. M. (1976): Phys. Lett. A 14 2338.Google Scholar
- Kac M. (1958): Probability and Related Topics in Physical Sciences (Wiley, New York).Google Scholar
- Klafter J., Zumofen G. and Shlesinger M. F. (1995) Lévy flights and Related Topics in Physics (Springer) 196.Google Scholar
- Montroll E. W. and Shlesinger M. (1984): Studies in Statistical Mechanics II (North-Holland, Amsterdam) 1.Google Scholar