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

A. Bershadskii

Physica A: Statistical Mechanics and its Applications, 1994, vol. 211, issue 1, 93-98

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).

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:211:y:1994:i:1:p:93-98

DOI: 10.1016/0378-4371(94)90070-1

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