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JOURNALS // Pisma v Zhurnal Tekhnicheskoi Fiziki // Archive

Pisma v Zhurnal Tekhnicheskoi Fiziki, 2024 Volume 50, Issue 11, Pages 30–33 (Mi pjtf6688)

Self-similar vortex

V. P. Koverda, V. N. Skokov

Institute of Thermal Physics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia

Abstract: An analytical approach is proposed to describe a computer model of a “sand heap” that describes positive $1/f$ fluctuations. The solutions to the proposed equations are random processes with power-law behavior of power spectra and distribution functions of random fluctuations.

Keywords: self-similar random processes, stochastic equations, vortices, power spectrum, $1/f$-noise.

Received: 29.01.2024
Revised: 20.02.2024
Accepted: 04.03.2024

DOI: 10.61011/PJTF.2024.11.57907.19876



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© Steklov Math. Inst. of RAS, 2026