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20 April 2024 |
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Statistics of 3-dimensional Lagrangian turbulence | Christian Beck
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26 Jun 2006 | Subject: | Statistical Mechanics | Abstract: | We consider a superstatistical dynamical model for the 3d movement of a Lagrangian tracer particle embedded in a high-Reynolds number turbulent flow. The analytical model predictions are in excellent agreement with the recent experimental data reported by the Bodenschatz and Pinton groups. In particular, we calculate the Lagrangian scaling exponents zeta_j for our system, and show that they agree well with the measured exponents reported in [X. Hu et al., PRL 96, 114503 (2006)]. Moreover, the model correctly predicts the shape of velocity difference and acceleration probability densities, the fast decay of component correlation functions and the slow decay of the modulus, as well as the statistical dependence between acceleration components. Finally, the model explains the experimentally observed fact [B.W. Zeff et al., Nature 421, 146 (2003)] that enstrophy lacks behind dissipation. | Source: | arXiv, cond-mat/0606655 | Services: | Forum | Review | PDF | Favorites |
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