Complexity analysis of a CT injection experiment on BRB

We use Jensen-Shannon complexity entropy to analyze the magnetic field fluctuations of an astrophysically-scaled plasma experiment. In the Big Red Ball (BRB) experiment at the Wisconsin Plasma Physics Laboratory (WiPPL), we create a compact toroid (CT) as a scaled analog to an interplanetary coronal mass ejection (ICME), scaling according to plasma , magnetosonic Mach number, and total pressure ratio. In the analysis, complexity and entropy are defined and plotted against each other to distinguish chaos from stochasticity. Previous complexity research on ICMEs has concluded that they are highly stochastic. We do similar analysis for the scaled experiment which serves as another way of comparing the experiment with the actual event. In addition to this, we go a step further by investigating complexity as a function of frequency, finding which frequencies maximize complexity. We then compared those frequencies to other frequencies in the plasma, such as the cyclotron frequency and collisional frequencies. We found that the frequencies for maximum complexity do not correspond to these frequencies, implying that there are other physical mechanisms that lead to an increase of complexity at these frequencies.