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

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 s...

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Bibliographic Details
Published in:Technical physics letters 2021-09, Vol.47 (9), p.665-667
Main Authors: Koverda, V. P., Skokov, V. N.
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Invariants
Maximum entropy
Nonlinear differential equations
Phase transitions
Physics
Physics and Astronomy
Random processes
White noise
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Summary: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.
ISSN:1063-7850
1090-6533
DOI:10.1134/S1063785021070099