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Noise, coherent fluctuations, and the onset of order in an oscillated granular fluid

Daniel I. Goldman·J. B. Swift·Harry L. Swinney
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Abstract

We study fluctuations in a vertically oscillated layer of grains below the critical acceleration for the onset of ordered standing waves. As onset is approached, transient disordered waves with a characteristic length scale emerge and increase in power and coherence. The scaling behavior and the shift in the onset of order agrees with the Swift-Hohenberg theory for convection in fluids. However, the noise in the granular system is four orders of magnitude larger than the thermal noise in a convecting fluid, making the effect of granular noise observable even 20% below the onset of long range order.

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Daniel I. Goldman, J. B. Swift, Harry L. Swinney. 2003-08-01. Noise, coherent fluctuations, and the onset of order in an oscillated granular fluid. https://doi.org/10.1103/physrevlett.92.174302

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