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Comparison between exact or near resonances, with real parts of each eigenmode shown for each wave number as labeled on the left side of the figure. The solid line is the exact (i.e. ∆ω ≈ 2 × 10 −15 ) resonance of k = (0, 1.125) with p = (−0.5, −1.0632325265492) whereas the dashed line is the near resonance with p = (−0.5, −1.0) and ∆ω ≈ 0.01. While some details change, the overall behavior, and saturation levels are actually very similar.

Comparison between exact or near resonances, with real parts of each eigenmode shown for each wave number as labeled on the left side of the figure. The solid line is the exact (i.e. ∆ω ≈ 2 × 10 −15 ) resonance of k = (0, 1.125) with p = (−0.5, −1.0632325265492) whereas the dashed line is the near resonance with p = (−0.5, −1.0) and ∆ω ≈ 0.01. While some details change, the overall behavior, and saturation levels are actually very similar.

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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
... we consider a network of triad pairs with a single q, and a grid of values of k y going from 0.125 to 4.0 in steps of 0.125. A reduced version of such a network is shown in figure 13. Physically this network corresponds to the opposite case where we consider a single q with the whole y dynamics if we compute the inverse Fourier transform in y. ...
Context 2
... we consider a network of triad pairs with a single q, and a grid of values of k y going from 0.125 to 4.0 in steps of 0.125. A reduced version of such a network is shown in figure 13. Physically this network corresponds to the opposite case where we consider a single q with the whole y dynamics if we compute the inverse Fourier transform in y. ...