Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2000-07-11
Nonlinear Sciences
Chaotic Dynamics
4 pages, with 4 figures
Scientific paper
10.1103/PhysRevLett.86.4827
We report new measurements of turbulent mixing of temperature fluctuations in a low temperature helium gas experiment, spanning a range of microscale Reynolds number, $R_{\lambda}$, from 100 to 650. The exponents $\xi_{n}$ of the temperature structure functions $<|\theta(x+r)-\theta(x)|^n > \sim r^{\xi_{n}}$ are shown to saturate to $\xi_{\infty} \simeq 1.45 \pm 0.1$ for the highest orders, $n \sim 10$. This saturation is a signature of statistics dominated by front-like structures, the cliffs. Statistics of the cliff characteristics are performed, particularly their width are shown to scale as the Kolmogorov length scale.
Andersen J. S.
Moisy Frédéric
Tabeling Patrick
Willaime Hervé
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