Noise, coherent fluctuations, and the onset of order in an oscillated granular fluid
arXiv:cond-mat/0308028 · doi:10.1103/PhysRevLett.92.174302
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.
arXiv comment4 pages, 4 figures, submitted to PRL
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- From the granular Leidenfrost state to buoyancy-driven convection
- Early-Warning Signs for Pattern-Formation in Stochastic Partial Differential Equations
- Continuum simulations of shocks and patterns in vertically oscillated granular layers
- Effects of Thermal Noise on Pattern Onset in Continuum Simulations of Shaken Granular Layers