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

@article{Goldman2003NoiseCF,
  title={Noise, coherent fluctuations, and the onset of order in an oscillated granular fluid.},
  author={Daniel I. Goldman and Jack Swift and Harry L. Swinney},
  journal={Physical review letters},
  year={2003},
  volume={92 17},
  pages={
          174302
        }
}
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 an order of magnitude larger than the thermal noise in the most… 

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