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Time evolution of the amplitudes of the eigenmodes for C = 1 case with k = (0, 1.125) and p = (−0.5, −1.0). We have a "saturated" state with oscillating amplitudes. It seems that as k and p (the two unstable modes and the two larger legs of the triads) exchange energy, q plays the role of the mediator.

Time evolution of the amplitudes of the eigenmodes for C = 1 case with k = (0, 1.125) and p = (−0.5, −1.0). We have a "saturated" state with oscillating amplitudes. It seems that as k and p (the two unstable modes and the two larger legs of the triads) exchange energy, q plays the role of the mediator.

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Hasegawa-Wakatani system, commonly used as a toy model of dissipative drift waves in fusion devices is revisited with considerations of phase and amplitude dynamics of its triadic interactions. It is observed that a single resonant triad can saturate via three way phase locking where the phase differences between dominant modes converge to constant...

Contexts in source publication

Context 1
... numerical observations suggest that there is no obvious route to global synchronization in the three body network of interacting triads consisting of a zonal mode and drift waves of different k y either. The weighted order parameter shows a brief increase during the nonlinear saturation phase as the energy is transferred to the zonal flow, but otherwise remain close to zero, while the Kuramoto order parameter simply remains close to zero the whole time as can be seen in figure 14. Since we observed no qualitative difference between the runs with or without zonal flow damping for this case, we only show those with ν ZF = D ZF = 10 −3 . ...
Context 2
... numerical observations suggest that there is no obvious route to global synchronization in the three body network of interacting triads consisting of a zonal mode and drift waves of different k y either. The weighted order parameter shows a brief increase during the nonlinear saturation phase as the energy is transferred to the zonal flow, but otherwise remain close to zero, while the Kuramoto order parameter simply remains close to zero the whole time as can be seen in figure 14. Since we observed no qualitative difference between the runs with or without zonal flow damping for this case, we only show those with ν ZF = D ZF = 10 −3 . ...