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Topological (loop-) intermittency in the three-dimensional turbulence

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  • Bershadskii, A.

Abstract

A new (topological or loop-) type of intermittency is studied in three-dimensional turbulence. The spectral (or fracton) dimension Ds =7(4 − 7) ≃ 1.95 for this turbulence (i.e. all states are localized). This intermittency is different both from Kolmogorov type (unlocalized, since DS > 2) and from Alexander-Orbach type (strong localized helical fractons with DS ≃ 43). The corresponding energy spectral exponent is obtained to be equal to (1 − 7) ≃ -1.65. These results are in good agreement with recent numerical (spectral dimension) and laboratory (turbulent energy spectrum) data. The anomaly in the experimentally observed fractal dimension of clouds surface Dσ ≃ 2.35 can be also explained in the framework of this intermittency phenomenon. The results have been obtained by a renormalization of the noise-like (1k) energy spectrum in isotropic incompressible turbulence with taking into account of spontaneous parity breaking (by virtual pairs of helical excitations).

Suggested Citation

  • Bershadskii, A., 1994. "Topological (loop-) intermittency in the three-dimensional turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 211(1), pages 93-98.
    • Handle: RePEc:eee:phsmap:v:211:y:1994:i:1:p:93-98
    DOI: 10.1016/0378-4371(94)90070-1
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    References listed on IDEAS

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    1. Bershadskii, A. & Kit, E. & Tsinober, A., 1993. "Self-organization and fractal dynamics in turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(3), pages 453-475.
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