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Stability of Random Processes with the 1/f α Spectrum

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Abstract

Extreme fluctuations have been modeled based on point nonpotential and potential systems of stochastic equations, in which white noise induces random processes with a power-law frequency dependence of the power spectra. The distribution of extreme fluctuations corresponds to the maximum of statistical entropy, which indicates their stability. The stability of fluctuation processes with 1/f  α power spectra has been analyzed based on the principle of maximum information entropy.

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REFERENCES

  1. R. Vak, How Nature Works (Springer, Berlin, 1996).

    Google Scholar 

  2. H. J. Jensen, Self-Organized Criticality (Cambridge Univ. Press, New York, 1998).

    Book  MATH  Google Scholar 

  3. S. M. Kogan, Usp. Fiz. Nauk 145 (2), 285 (1985).

    Article  Google Scholar 

  4. V. N. Skokov, V. P. Koverda, and K. P. Skripov, Cryogenics 37 (5), 263 (1997).

    Article  ADS  Google Scholar 

  5. B. H. Skokov, V. P. Koverda, and A. V. Reshetnikov, JETP Lett. 69 (8), 636 (1999).

    Article  ADS  Google Scholar 

  6. V. N. Skokov, V. P. Koverda, A. V. Reshetnikov, V. P. Skripov, N. A. Mazheiko, and A. K. Vinogradov, Int. J. Heat Mass Transfer. 46, 1879 (2003).

    Article  Google Scholar 

  7. A. G. Bashkirov, Theor. Mat. Phys. 149 (2), 1559 (2006).

    Article  Google Scholar 

  8. E. Montroll and M. F. Shlesinger, J. Stat. Phys. 32 (2), 209 (1983).

    Article  ADS  Google Scholar 

  9. C. Tsallis, J. Stat. Phys. 52, 479 (1988).

    Article  ADS  Google Scholar 

  10. A. Renyi, Probability Theory (North-Holland, Amsterdam, 1970).

    MATH  Google Scholar 

  11. V. P. Koverda and V. N. Skokov, Dokl. Phys. 52 (7), 354 (2007).

    Article  ADS  Google Scholar 

  12. V. P. Koverda and V. N. Skokov, Dokl. Phys. 55 (10), 483 (2010).

    Article  ADS  Google Scholar 

  13. V. P. Koverda and V. N. Skokov, Physica A 391, 21 (2012).

    Article  ADS  Google Scholar 

  14. V. P. Koverda and V. N. Skokov, Dokl. Phys. 47 (9), 654 (2002).

    Article  ADS  Google Scholar 

  15. V. N. Skokov and V. P. Koverda, Dokl. Phys. 62 (11), 491 (2017).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Institute of Thermal Physics, Ural Branch, Russian Academy of Sciences, 620016, Yekaterinburg, Russia

    V. P. Koverda & V. N. Skokov

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

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Translated by Yu. Sin’kov

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Koverda, V.P., Skokov, V.N. Stability of Random Processes with the 1/f α Spectrum. Dokl. Phys. 63, 451–454 (2018). https://doi.org/10.1134/S1028335818110022

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  • DOI: https://doi.org/10.1134/S1028335818110022

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