Processes in the Current Disruption Region: From Turbulence to Dispersion Relation

Using measurements from Cluster‐II space mission, we compared the characteristics of the fluctuations of the magnetic field magnitude and the Bz component in the current disruption (CD) regions. We used fast Fourier transform, statistical, and wavelet analysis, and wave surveyor technique on the multispacecraft measurements. Among the obtained results one can note the presence of spectral breaks in both the magnetic field magnitude and the Bz component at frequencies smaller or equal to the proton gyrofrequency. The numerical values of the spectral index for the magnetic field magnitude and for the Bz component are similar, and the nature of the turbulent processes is close to that of the homogeneous magnetohydrodynamic (MHD) (the spectral index varies from −2.00 to −1.31) on the large time scale and resembles Hall‐MHD (the spectral index varies from −2.33 to −2.99) on the smaller time scales. The kurtosis results are consistent with those of the spectral analysis. From wavelet technique, we detected powerful Pc4 and Pi1 pulsations, along with cascade features both for the magnetic field magnitude and for its z‐component. The dispersion ratios also indicate the presence of nonlinear energy cascade processes in CD regions. We have found that the pulsations observed for magnetic pressure are also present in thermal proton and electron pressures although their powers differ considerably. For the dynamic helium and oxygen pressures, and also for the thermal pressures of these components, only pulsations in the high‐frequency region are revealed. Key Points Spectral breaks of both the magnetic field magnitude and Bz‐component at frequencies less or equal to the proton gyrofrequency are observed The spectral indices for the magnetic field magnitude and its z‐component are similar, features of the turbulent processes depend on scale The pulsations, inverse cascades, and dispersion relations indicate the presence of nonlinear processes in the current disruption region