Interoccurrence time statistics in fully-developed turbulence.
Emergent extreme events are a key characteristic of complex dynamical systems. The main tool for detailed and deep understanding of their stochastic dynamics is the statistics of time intervals of extreme events. Analyzing extensive experimental data, we demonstrate that for the velocity time series of fully-developed turbulent flows, generated by (i) a regular grid; (ii) a cylinder; (iii) a free jet of helium, and (iv) a free jet of air with the Taylor Reynolds numbers Reλ from 166 to 893, the interoccurrence time distributions P(τ) above a positive threshold Q in the inertial range is described by a universal q- exponential function, P(τ) = β(2 - q)[1 - β(1 - q)τ](1/(1-q)), which may be due to the superstatistical nature of the occurrence of extreme events. Our analysis provides a universal description of extreme events in turbulent flows.
Department of Physics, Faculty of Sciences, Persian Gulf University, Bushehr 75169, Iran.
Pouya
P
Manshour
Institute of Physics and for wind, Carl von Ossietzky University of Oldenburg, 26111 Oldenburg, Germany.
Mehrnaz
M
Anvari
Institute of Physics and for wind, Carl von Ossietzky University of Oldenburg, 26111 Oldenburg, Germany.
Nico
N
Reinke
Mork Family Department of Chemical Engineering Materials Science, University of Southern California, Los Angeles, California 90089-1211, USA.
Muhammad
M
Sahimi
Institute of Physics and for wind, Carl von Ossietzky University of Oldenburg, 26111 Oldenburg, Germany.|Department of Physics, Sharif University of Technology, Tehran 11155-9161, Iran.
M Reza Rahimi
MR
Tabar