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Onset of meso-scale turbulence in active nematics

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Scale invariance, random walks and complex networks - Gandhi M. Viswanathan

I am amazed at the lack of turnover. We avoid the assumption of locality of the energy transfer which was used previously in both analytic and numerical studies of the superfluid He 3 -B turbulence. In the near-critical regimes we discover a strong enhancement of intermittency which exceeds by an order of magnitude the corresponding level in classical hydrodynamic turbulence. Biferale 1 , D. Khomenko 2 , V. L'vov 2 , A. Pomyalov 2 , I.

Scale Invariance: From Phase Transitions to Turbulence - Annick LESNE, Michel Laguës - Google книги

Procaccia 2 , and G. The dashed lines in panel a are the LNV prediction A2a for the subcritical spectra with one fitting parameter in Eq. The subcritical spectra are not scale invariant and are not described by a single exponent. The horizontal dashed lines in both panels show the critical spectrum.

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The straight dashed lines with the estimates of the apparent scaling exponents serve to guide the eye only. The nonlinear energy transfer is shown by green lines, the viscous dissipation by red lines, and the dissipation by mutual friction by blue lines. Local and nonlocal energy spectra of superfluid He 3 turbulence L. Biferale, D.