Long-Time Correlations in the Stochastic Regime

Simple item page
dc.creatorKarney, Charles F. F.
dc.date2005-01-11
dc.date.accessioned2026-07-07T05:36:13Z
dc.date.available2026-07-07T05:36:13Z
dc.descriptionThe 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^-5 or exponentially, but more commonly it decays much more slowly (roughly as t^-1). As a consequence these small islands may have a profound effect on the properties of the stochastic orbits. In particular, there is evidence that the evolution of a distribution of particles is no longer governed by a diffusion equation.
dc.descriptionPlain TeX, 30 pages, 8 figures. Reprinted in "Hamiltonian Dynamical Systems", edited by R. S. MacKay and J. D. Meiss (Adam-Hilger, Bristol, 1987), pp. 585-605
dc.identifierhttps://arxiv.org/abs/nlin/0501023
dc.identifierhttp://arxiv.org/abs/nlin/0501023
dc.identifierPhysica 8D(3), 360-380 (Sept.1983)
dc.identifierdoi:10.1016/0167-2789(83)90232-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80917
dc.subjectChaotic Dynamics
dc.subjectAccelerator Physics
dc.subjectPlasma Physics
dc.titleLong-Time Correlations in the Stochastic Regime
dc.typetext

Files

Collections

arXiv