This article is cited in 5 papers

Maximum entropy in scale-invariant processes with a 1/$f^{\alpha}$ power spectrum: the effect of white noise anisotropy

V. P. Koverda, V. N. Skokov

Institute of Thermal Physics, Ural Branch, Russian Academy of Sciences, Ekaterinburg

Abstract: Large value fluctuations are modeled by a system of nonlinear stochastic equations describing the interacting phase transitions. Under the action of anisotropic white noise, random processes are formed with the 1/$f^{\alpha}$ dependence of the power spectra on frequency at values of the exponent from 0.7 to 1.7. It is shown that fluctuations with 1/$f^{\alpha}$ power spectra in the studied range of changes correspond to the entropy maximum, which indicates the stability of processes with 1/$f^{\alpha}$ power spectra at different values of the exponent $\alpha$.

Received: 30.01.2019
Revised: 30.01.2019
Accepted: 06.02.2019

DOI: 10.21883/PJTF.2019.09.47707.17718

 English version: Technical Physics Letters, 2019, 45:5, 439–442

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