Exit times and chaotic transport in Hamiltonian systems
- 2 May 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 72 (18) , 2859-2862
- https://doi.org/10.1103/physrevlett.72.2859
Abstract
A new statistical diagnostic tool for chaotic transport in Hamiltonian systems is proposed. The method, based on the concept of exit times, has an advantage over the calculation of diffusion coefficients in that it remains valid for nondiffusive transport processes. This method is tested on the Chirikov-Taylor standard map: One finds that it is more robust than the usual diffusion coefficient D and conveys the same information as D when the latter is meaningful, for all values of the nonlinearity parameter K.This publication has 10 references indexed in Scilit:
- Strange kineticsNature, 1993
- Exit times and transport for symplectic twist mapsChaos: An Interdisciplinary Journal of Nonlinear Science, 1993
- Percolation, statistical topography, and transport in random mediaReviews of Modern Physics, 1992
- Transport processes in magnetically confined plasmasPhysics of Fluids B: Plasma Physics, 1992
- Rigorous diffusion properties for the sawtooth mapCommunications in Mathematical Physics, 1992
- Weak Chaos and Quasi-Regular PatternsPublished by Cambridge University Press (CUP) ,1991
- Diffusion of magnetic field lines in a toroidal geometryPhysics of Fluids B: Plasma Physics, 1991
- Fat Fractals on the Energy SurfacePhysical Review Letters, 1985
- Calculation of Turbulent Diffusion for the Chirikov-Taylor ModelPhysical Review Letters, 1980
- A universal instability of many-dimensional oscillator systemsPhysics Reports, 1979