Synchronization of multiscale waveform focusing for rogue wave generation in dust acoustic wave turbulence

Po-Cheng Lin,Lin I

doi:10.1103/physrevresearch.2.023090

Abstract

In this work, the authors experimentally investigate the rogue wave event formation in three dimensional multiscale dust acoustic wave turbulence using spatiotemporal waveform dynamics and the wave-particle interaction of multiscale modes. By decomposing turbulent waveforms into different-scale modes through multidimensional empirical mode decomposition, the paper shows that rogue waves are associated with the spatiotemporal synchronization of multiscale wave crests and their envelope peaks

Highlights

Unraveling the generic dynamical behaviors of extreme events and their generation, which ubiquitously occurs in various complex systems such as temperature and rainfall in climate systems, seismic systems, financial systems, and nonlinear wave systems, is fundamentally challenging
In this work, using the dust acoustic wave (DAW) as a platform and multidimensional complementary ensemble empirical mode decomposition (MCEEMD), we further experimentally unravel the following unexplored issues for Rogue wave events (RWEs) generation in the acoustic-type wave turbulence: (a) for each mode, whether particle focusing by the distorted preceding waveform leads to high-amplitude wave events in that mode, similar to that found in the previous RWE generation study in single-scale waves [18], (b) how particle focusing of various modes are correlated spatiotemporally, which leads to RWE generation, and (c) how multiscale lowamplitude holes (LAHs) are correlated with RWEs
What is the correlation between multiscale LAHs and RWEs? Figures 5(a) and 5(b) show two typical examples of LAH filament distributions for the major modes 3 and 4, color coded in green and brown [the lighter color represents the +1 (−1) topological charge], respectively, with RWEs located at the centers of the xyt plots

Summary

INTRODUCTION

Unraveling the generic dynamical behaviors of extreme events and their generation, which ubiquitously occurs in various complex systems such as temperature and rainfall in climate systems, seismic systems, financial systems, and nonlinear wave systems, is fundamentally challenging. For the higher dimensional weakly disordered wave with a single dominant wavelength scale, the focusing of particles by the distorted preceding surrounding waveform as the key for RWE generation, were demonstrated in the recent studies in two-dimensional (2D) water surface waves [14,21,22] and three-dimensional (3D) traveling dust acoustic wave (DAW) with longitudinally oscillating dust particles charged and suspended in a low-pressure plasma [18]. In this work, using the DAW as a platform and MCEEMD, we further experimentally unravel the following unexplored issues for RWE generation in the acoustic-type wave turbulence: (a) for each mode, whether particle focusing by the distorted preceding waveform leads to high-amplitude wave events in that mode, similar to that found in the previous RWE generation study in single-scale waves [18], (b) how particle focusing of various modes are correlated spatiotemporally, which leads to RWE generation, and (c) how multiscale LAHs are correlated with RWEs

EXPERIMENT

RESULTS AND DISCUSSION

CONCLUSION