On Lagrangian single-particle statistics (Articolo in rivista)

  • On Lagrangian single-particle statistics (Articolo in rivista) (literal)
  • 2012-01-01T00:00:00+01:00 (literal)
  • 10.1063/1.4711397 (literal)
Alternative label
  • G. Falkovich1,2, H. Xu1,3, A. Pumir1,4, E. Bodenschatz1,3,5,6, L. Biferale1,7, G. Boffetta1,8, A. S. Lanotte 1,9, F. Toschi 1,10,11 (2012)
    On Lagrangian single-particle statistics
    in Physics of fluids (1994)
  • G. Falkovich1,2, H. Xu1,3, A. Pumir1,4, E. Bodenschatz1,3,5,6, L. Biferale1,7, G. Boffetta1,8, A. S. Lanotte 1,9, F. Toschi 1,10,11 (literal)
Pagina inizio
  • 055102-1 (literal)
Pagina fine
  • 055102-8 (literal)
  • 24 (literal)
  • 8 (literal)
  • 055102 (literal)
  • 1International Collaboration for Turbulence Research 2Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel 3Max Planck Institute for Dynamics and Self-Organization, D-37077 Go ?ttingen, Germany 4Laboratoire de Physique, Ecole Normale Supe ?rieure de Lyon, 46, Universite ? Lyon 1 and CNRS, F-69007 Lyon, France 5Institute for Nonlinear Dynamics, University of Go ?ttingen, D-37077 Go ?ttingen, Germany 6Laboratory of Atomic and Solid State Physics and Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853, USA 7Department of Physics and INFN, University of Tor Vergata, Via della Ricerca Scientifica 1, I-00133 Roma, Italy 8Department of Physics and INFN, University of Torino, I-10125 Torino, Italy 9ISAC-CNR, Str. Prov. Lecce-Monteroni, and INFN, Sezione di Lecce, I-73100 Lecce, Italy 10Department of Physics, and Department of Mathematics and Computer Science, and J.M. Burgerscentrum, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands 11IAC, CNR, Via dei Taurini 19, I-00185 Roma, Italy (literal)
  • On Lagrangian single-particle statistics (literal)
  • In turbulence, ideas of energy cascade and energy flux, substantiated by the exact Kolmogorov relation, lead to the determination of scaling laws for the velocity spatial correlation function. Here we ask whether similar ideas can be applied to temporal correlations. We critically review the relevant theoretical and experimental results concerning the velocity statistics of a single fluid particle in the inertial range of sta- tistically homogeneous, stationary and isotropic turbulence. We stress that the widely used relations for the second structure function, D2(t) ? ?[v(t) - v(0)]2? ? ?t, re- lies on dimensional arguments only: no relation of D2(t) to the energy cascade is known, neither in two- nor in three-dimensional turbulence. State of the art experimental and numerical results demonstrate that at high Reynolds numbers, the derivative d D2(t )/dt has a finite non-zero slope starting from t ? 2? ? . The analysis of the acceleration spectrum \Phi_A(?) indicates a possible small correction with respect to the dimensional expectation \Phi_A(?) ~ ?_0 but present data are unable to discriminate between anomalous scaling and finite Reynolds effects in the second order moment of velocity Lagrangian statistics. (literal)
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