Critical phenomenon,crisis and transition to spatiotemporal chaos in plasmas |
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Authors: | He Kaifen |
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Institution: | (1) Institute of Low Energy Nuclear Physics, Beijing Normal University, Beijing, 100875, China;(2) World Institute for Space Environment Research-WISER, NITP, University of Adelaide, SA, Australia |
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Abstract: | In a driven/damped drift-wave system a steady wave induces nonlinear variation of the dispersion of a perturbation wave (PW).
Competition between the nonlinear dispersion with self-nonlinearity of the PW results in rich wave dynamic behaviors. In particular,
a steady wave at the negative tangency slope of a hysteresis becomes unstable due to a saddle instability. It is found that
such saddle steady wave (SSW) plays an important role in the discontinuous transition from a spatially coherent state to spatiotemporal
chaos (STC). The transition is caused by a crisis due to a collision of the PW attactor to an unstable orbit of the SSW. In
the time evolution, it is a ‘pattern resonance’ of the realized wave with the virtual SSW that triggers the crisis. The transition
also displays as a critical phenomenon in parameter space, which is related to the change in the symmetry property of the
motion of master mode (k = 1) of the PW with respect to that of SSW. In the spatially coherent state the former is trapped by the SSW partial wave,
while in the STC it can become free from the latter, its trajectory crosses two unstable orbits of the SSW frequently, causing
very turbulent behavior.
This revised version was published online in August 2006 with corrections to the Cover Date. |
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Keywords: | crisis critical phenomenon pattern resonance saddle steady wave spatiotemporal chaos |
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