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Titel |
Nonlinear dynamics of turbulent waves in fluids and plasmas |
VerfasserIn |
K. He, A. C.-L. Chian |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
1023-5809
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Digitales Dokument |
URL |
Erschienen |
In: Nonlinear Processes in Geophysics ; 12, no. 1 ; Nr. 12, no. 1 (2005-01-04), S.13-24 |
Datensatznummer |
250010375
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Publikation (Nr.) |
copernicus.org/npg-12-13-2005.pdf |
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Zusammenfassung |
In a model drift wave system that is interesting both in fluids
and plasmas, we find that an embedded moving saddle point plays an
important role at the onset of turbulence. Here the saddle point
is actually a saddle steady wave, in its moving frame the wave
system can be transformed into a set of coupled oscillators whose
motion is affected by the saddle steady wave as if it is a
potential. It is found that a collision with the saddle point
triggers a crisis, following the collision another dynamic event
occurs which involves a transition in the phase state of the
master oscillator. Only after the latter event the spatial
regularity is destroyed. The phase dynamics before and after the
transition is further investigated. It is found that in a
spatially coherent state before the transition the oscillators
reach a functional phase synchronization collectively with or
without phase slips, after the transition in the turbulent state
an on-off imperfect synchronization is established among the
oscillators with long wavelengths. When the synchronization is on,
their amplitudes grow up simultaneously, giving rise to a burst in
the total wave energy. A power law behavior is observed in the
correlation function between phases of the oscillators. Potential
application of our results in prediction of energy bursts in
turbulence is discussed. |
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