Transport in Hamiltonian systems
Journal Article
·
· IFS Newsl.; (United States)
OSTI ID:5471288
A new theory of transport which can be applied to the calculation of diffusion near the stochastic threshold has been developed. In this theory, attention is focused on the remnants of invariant surfaces which remain after destruction of the invariants by a perturbation. These remnants, called cantori, provide effective barriers for particle motion well above the breakdown level of perturbation. The theory is formulated in terms of the flux of trajectories through a cantorus. Near the breakdown the flux grows as the 3.01 power of the perturbation amplitude independent of the specific dynamics. Preliminary calculations on simple maps have verified the importance of the cantori as effective barriers in transport and the scaling of the transport times with the inverse of the theoretical flux.
- OSTI ID:
- 5471288
- Journal Information:
- IFS Newsl.; (United States), Journal Name: IFS Newsl.; (United States) Vol. 3:1; ISSN IFSNE
- Country of Publication:
- United States
- Language:
- English
Similar Records
Transport near the onset of stochasticity
Transport in Hamiltonian systems
Some remarks about pseudo-Hamiltonian
Technical Report
·
Wed May 01 00:00:00 EDT 1985
·
OSTI ID:5466921
Transport in Hamiltonian systems
Technical Report
·
Thu Sep 01 00:00:00 EDT 1983
·
OSTI ID:5734618
Some remarks about pseudo-Hamiltonian
Technical Report
·
Sun Oct 31 23:00:00 EST 1993
·
OSTI ID:10194905