Angular transport in a nonperiodic Chirikov-Taylor map - art. no. 056205

Citation
D. Lesnik et Kh. Spatschek, Angular transport in a nonperiodic Chirikov-Taylor map - art. no. 056205, PHYS REV E, 6405(5), 2001, pp. 6205
Citations number
19
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
6405
Issue
5
Year of publication
2001
Part
2
Database
ISI
SICI code
1063-651X(200111)6405:5<6205:ATIANC>2.0.ZU;2-0
Abstract
Transport in angular direction is considered for a nonperiodic Chirikov-Tay lor (standard) map. In the limit of large stochasticity parameter, dependin g on the boundary conditions of the action variable, either superdiffusive of diffusive behavior is found. In both cases characteristic oscillations i n the transport coefficients occur. Theoretical predictions based on the Pe rron-Frobenius evolution operator formalism for the distribution function a re compared with numerical simulations. Information on the anomalous behavi ors in the near threshold as well as in the subthreshold regions are also p resented.