Application of the Permutation Entropy and Statistical Complexity AnalYsis (PESCy) Technique to the Dust Acoustic Wave

A dusty plasma is a traditional plasma system with a third charged species consisting of nanometer to micron sized particulate matter. The presence of this third charged species results in a system that is notably more complex than the traditional plasma system and supports a wide range of physical phenomena, including a low-frequency longitudinal wave mode known as the dust acoustic wave. Measurements of this wave mode have suggested that turbulence can be observed under the appropriate experimental conditions. To gain a deeper insight into the behaviors of dust acoustic waves, we will be employing the Permutation Entropy and Statistical Complexity AnalYsis (PESCy) technique. In this technique, the Permutation Entropy and Statistical Complexity quantities characterize the complexity of a given signal and classify it as either periodic, noisy, or chaotic. In our presentation, we will compare the results of our PESCy analysis to a Fourier analysis and discuss how the PESCy technique can be used to quantify dust acoustic wave phenomena.