Rogue waves in dust acoustic wave turbulence

Po-Cheng Lin^1*, Lin I¹

¹Department of Physics, National Central University, Taoyuan City, Taiwan

* Presenter:Po-Cheng Lin, email:lkk12342001@gmail.com

Rogue waves are large-amplitude extreme events that suddenly emerge spatiotemporally. It has been intensively studied in single-scale weakly disordered state based on modulation instability of wave-amplitude but seldom be addressed in the wave turbulence exhibiting multiscale excitations with continuous power spectrum. How rogue waves are generated under the interplay of multiscale waves, and their correlation with multiscale low-amplitude events are unexplored fundamental issues. In this work, using three-dimensional (3D) dust acoustic wave turbulence as a platform, we experimentally demonstrate that, through multi-dimensional empirical mode decomposition, the phase synchronization of multiscale wave crests and their modulation envelopes are the keys for rogue wave formation. From the surrounding wave field in the 2+1D spatiotemporal space, we find that the generation of rogue wave is proceeded with higher probability of finding multiscale low-amplitude events, associated with multiscale distorted waveform. Our study shed lights on the subject of rogue wave formation in turbulent wave field and its short phase precursors for longitudinal density wave turbulence in plasmas and gaseous media.

Keywords: Rogue wave, Acoustic wave turbulence, Dusty plasma, Multiscale decomposition