| Noise-induced phase space transport in two-dimensional Hamiltonian systems. | |
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MedLine Citation:
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PMID: 11969919 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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First passage time experiments were used to explore the effects of low amplitude noise as a source of accelerated phase space diffusion in two-dimensional Hamiltonian systems, and these effects were then compared with the effects of periodic driving. The objective was to quantify and understand the manner in which "sticky" chaotic orbits that, in the absence of perturbations, are confined near regular islands for very long times, can become "unstuck" much more quickly when subjected to even very weak perturbations. For both noise and periodic driving, the typical escape time scales logarithmically with the amplitude of the perturbation. For white noise, the details seem unimportant: Additive and multiplicative noise typically have very similar effects, and the presence or absence of a friction related to the noise by a fluctuation-dissipation theorem is also largely irrelevant. Allowing for colored noise can significantly decrease the efficacy of the perturbation, but only when the autocorrelation time, which vanishes for white noise, becomes so large that there is little power at frequencies comparable to the natural frequencies of the unperturbed orbit. Similarly, periodic driving is relatively inefficient when the driving frequency is not comparable to these natural frequencies. This suggests that noise-induced extrinsic diffusion, like modulational diffusion associated with periodic driving, is a resonance phenomenon. The logarithmic dependence of the escape time on amplitude reflects the fact that the time required for perturbed and unperturbed orbits to diverge a given distance scales logarithmically in the amplitude of the perturbation. |
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Authors:
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I V Pogorelov; H E Kandrup |
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Publication Detail:
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Type: Journal Article |
Journal Detail:
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Title: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Volume: 60 ISSN: 1063-651X ISO Abbreviation: Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics Publication Date: 1999 Aug |
Date Detail:
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Created Date: 2002-04-23 Completed Date: 2002-07-12 Revised Date: 2003-11-03 |
Medline Journal Info:
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Nlm Unique ID: 9887340 Medline TA: Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics Country: United States |
Other Details:
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Languages: eng Pagination: 1567-78 Citation Subset: - |
Affiliation:
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Department of Physics, University of Florida, Gainesville, Florida 32611, USA. ilya@phys.ufl.edu |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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