Random process with a turbulent power spectrum

V.P. Koverda and V.N. Skokov

Physica A: Statistical Mechanics and its Applications, 2023, vol. 612, issue C

Abstract: Random processes with large fluctuations are simulated by a system of nonlinear stochastic equations describing coupled nonequilibrium phase transitions. It is shown that under the action of white noise a critical state can arise, which is characterized by a turbulent spectrum and a scale-invariant probability density function. Under the action of a periodic force on a random process with a turbulent spectrum, a resonant response of scale-invariant functions arises. The lumped system is generalized to the spatially distributed case. To study the sustainability and stationarity of a random process, the principle of maximum entropy is used.

Keywords: Turbulence; Nonequilibrium phase transitions; Power spectra; 1/f noise; Maximum entropy (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:612:y:2023:i:c:s0378437123000468

DOI: 10.1016/j.physa.2023.128491

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