Experimental observation of 1/f noise in quasi-bidimensionnal turbulent flows

2016/05/31 by Johann Herault, Herault, Johann, François Pétrélis +3
Engineering · Earth and Planetary Sciences · Economics, Econometrics and Finance · #Fluid Dynamics and Turbulent Flows #Meteorological Phenomena and Simulations #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.1605.09664

Abstract

We report the experimental observation of 1/f^α noise in quasi-bidimensionnal turbulence of an electromagnetically forced flow. The large scale velocity U_L exhibits this power-law spectrum with α≃ 0.7 over a range of frequencies smaller than both the characteristic turn-over frequency and the damping rate of the flow. By studying the statistical properties of sojourn time in each polarity of U_L, we demonstrate that the 1/f^α noise is generated by a renewal process, defined by a two-state model given by the polarities of the large scale circulation. The statistical properties of this renewal process are shown to control the value of the exponent α.

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