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Self-organization of a critical state and 1/f fluctuations caused by the interaction of phase transitions in a distributed system

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Abstract

A mathematical model is proposed that describes the appearance of fluctuations with a spectral density inversely proportional to the frequency as a result of the intersection of phase transitions in a spatially inhomogeneous system. The model is represented by a set of two nonlinear stochastic differential equations with mutually interacting order parameters. It is demonstrated that a random walk in the model potential field corresponding to the intersecting sub-and supercritical phase transitions may lead to the self-organization of a critical state and the appearance of fluctuations with a 1/f spectral density.

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Authors and Affiliations

  1. Institute of Thermal Physics, Ural Division, Russian Academy of Sciences, Yekaterinburg, Russia

    V. N. Skokov & V. P. Koverda

Authors
  1. V. N. Skokov
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  2. V. P. Koverda
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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 26, No. 20, 2000, pp. 13–19.

Original Russian Text Copyright © 2000 by Skokov, Koverda.

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Skokov, V.N., Koverda, V.P. Self-organization of a critical state and 1/f fluctuations caused by the interaction of phase transitions in a distributed system. Tech. Phys. Lett. 26, 900–902 (2000). https://doi.org/10.1134/1.1321233

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  • DOI: https://doi.org/10.1134/1.1321233

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