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Resonant Response of Scale-Invariant Functions of a Random Process with a Turbulent Spectrum

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Abstract

Scale-invariant random processes with large fluctuations have been modeled by a system of two stochastic nonlinear differential equations describing interacting phase transitions. It is shown that under the action of white noise, a critical state arises, characterized by a turbulent spectrum and a scale-invariant distribution of amplitudes. The critical state corresponds to the maximum entropy, which indicates the stability of the process. An external harmonic action on a random process with a turbulent spectrum gives rise to a resonant response of scale-invariant functions.

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 19-08-00091-a.

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Authors and Affiliations

  1. Institute of Thermophysics, Ural Branch of the Russian Academy of Sciences, 620016, Yekaterinburg, Russia

    V. P. Koverda & V. N. Skokov

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  1. V. P. Koverda
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  2. V. N. Skokov
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Correspondence to V. P. Koverda.

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The authors declare that they have no conflicts of interest.

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Translated by N. Petrov

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Koverda, V.P., Skokov, V.N. Resonant Response of Scale-Invariant Functions of a Random Process with a Turbulent Spectrum. Tech. Phys. Lett. 47, 665–667 (2021). https://doi.org/10.1134/S1063785021070099

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  • DOI: https://doi.org/10.1134/S1063785021070099

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