Long-time correlations in the stochastic regime
The phase space for Hamiltonians of two degrees of freedom is usually divided into stochastic and integrable components. Even when well into the stochastic regime, integrable orbits may surround small stable regions or islands. The effect of these islands on the correlation function for the stochastic trajectories is examined. Depending on the value of the parameter describing the rotation number for the elliptic fixed point at the center of the island, the long-time correlation function may decay as t/sup -5/ or exponentially, but more commonly it decays much more slowly (roughly as t/sup -1/). As a consequence these small islands may have a profound effect on the properties such as the diffusion coefficient, of the stochastic orbits.
- Research Organization:
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- DOE Contract Number:
- AC02-76CH03073
- OSTI ID:
- 6694187
- Report Number(s):
- PPPL-1938; ON: DE83002944
- Country of Publication:
- United States
- Language:
- English
Similar Records
Stochastic electron beams in the ion-focused regime
Stochastic electron dynamics due to drift waves in a sheared magnetic field and other drift motion problems