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Statistics of fluctuations with a 1/f spectrum at phase transitions in a spatially distributed system

Author

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  • Koverda, V.P.
  • Skokov, V.N.

Abstract

A study has been made on the statistics of fluctuations in a spatially distributed system, which describes the interaction of nonequilibrium phase transitions. It is shown that at a certain intensity of external white noise acting on phase transitions, the time and spatial spectra of fluctuations have power laws S(f)∼f−α and S(k)∼k−γ. The dependence of the exponents α and γ on the value of the diffusion coefficient determining the spatial interaction of fluctuations have been found. Extreme low-frequency fluctuations has been revealed and distribution functions of their duration P(τ)∼τ−β and size P(s)∼s−ν have been determined. It has been found that the exponent α of the frequency dependence of time spectra and the exponent β of the distribution function of the fluctuation duration are related by the relation α+β=2. The exponent of the spatial spectrum γ and the exponent of the size distribution function ν are related by a similar relation: γ+ν=2.

Suggested Citation

  • Koverda, V.P. & Skokov, V.N., 2011. "Statistics of fluctuations with a 1/f spectrum at phase transitions in a spatially distributed system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(13), pages 2468-2479.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:13:p:2468-2479
    DOI: 10.1016/j.physa.2011.03.001
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