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Multi-scale dynamics of glow discharge plasma through wavelets: self-similar behavior to neutral turbulence and
Bapun K Giri1, Chiranjit Mitra1, Prasanta K Panigrahi1
1Department of Physical Sciences, Indian Institute of Science Education and Research (IISER), Kolkata, Mohanpur 741246, India.
Abstract:
The multiscale dynamics of glow discharge plasma is analysed through wavelet transform, whose scale dependent variable window size aptly captures both transients and non-stationary periodic behavior. The optimal time-frequency localization ability of the continuous Morlet wavelet is found to identify the scale dependent periodic modulations efficiently, as also the emergence of neutral turbulence and dissipation, whereas the discrete Daubechies basis set has been used for detrending the temporal behavior to reveal the multi-fractality of the underlying dynamics. The scaling exponents and the Hurst exponent have been estimated through wavelet based detrended fluctuation analysis, and also Fourier methods and rescale range analysis.
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