Application of the Superslow Relaxation Model in the Description of Time Series of the Vertical Electric Field Component in the Earth’s Atmospheric Boundary Layer in the Infra-Low Frequency Range

Abstract

To explain the presence of spectrally localized, mutually uncorrelated the electric field components in the Earth’s atmospheric boundary layer in the infra-low frequency range, it is proposed to use the model of fractionally integrated white Gaussian noise. It is shown that the uncorrelated components of the fractionally integrated (of order 0.5) white Gaussian noise have a coherence index close to that of the uncorrelated components of time series of the electric field. The energy distribution of the uncorrelated components of the fractionally integrated noise is also close to the energy distribution of the components of the electric field. To lay the basis for a physical interpretation of fractionally integrated noise, it is proposed to use the differential equation of superslow relaxation.