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

  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},
  volume={92 17},
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… 

Figures from this paper

Subharmonic wave transition in a quasi-one-dimensional noisy fluidized shallow granular bed.

It is shown that the probability density distribution is well described by a generalized Rayleigh distribution, which is the stationary solution of the corresponding Fokker-Planck equation of the universal stochastic amplitude equation that describes the system.

Dynamics of spatially modulated kinks in shallow granular layers

We report on the experimental observation and characterization of the bifurcation diagram, dynamical properties and fluctuations of spatially modulated kinks in a shallow one-dimensional fluidized

Average energy and fluctuations of a granular gas at the threshold of the clustering instability

The behavior of an isolated dilute granular gas near the threshold of its clustering instability is investigated by means of fluctuating hydrodynamics and the direct simulation Monte Carlo method.

From the granular Leidenfrost state to buoyancy-driven convection.

Increasing the size of the container shows metastability of convective states, as well as an overall invariant critical behavior close to the transition, which suggests a new interpretation of the transition analogous to a coupled chain of vertically vibrated damped oscillators.

Small-number statistics near the clustering transition in a compartmentalized granular gas.

This work quantitatively describes the competition between fluctuations and mean-field behavior (as a function of N ) using a dynamical flux model and molecular dynamics simulations.

Discrete and continuum descriptions of shaken granular matter

Vertically vibrated granular matter is studied using particle simulations, experiments and continuum models. We do a in-depth analysis of the granular Leidenfrost state (a density inverted, highly

Close-packed granular clusters: hydrostatics and persistent Gaussian fluctuations

Dense granular clusters often behave like macro-particles. We address this interesting phenomenon in a model system of inelastically colliding hard disks inside a circular box, driven by a thermal

Friction and convection in a vertically vibrated granular system.

It is found that the transitions between different convective states (zero, one, and two rolls) are primarily governed by the average energy loss per collisions and not by the friction and restitution coefficients separately, and can be roughly described in terms of a single effective restitution coefficient.

Bifurcations of emerging patterns in the presence of additive noise.

From this generalized Rayleigh distribution the probability density of the critical spatial mode amplitude is derived and the shape of noisy bifurcations is predicted by means of the most probable value of thecritical mode amplitude.

Instabilities, nucleation, and critical behavior in nonequilibrium driven fluids: theory and simulation

The main subject of this thesis rests on the study ---at different levels of description--- of instabilities in systems which are driven, i.e., maintained far from equilibrium by an external forcing.




  • Rev. Lett 75, 1743
  • 1995


  • Rev. Lett. 91, 094501
  • 2003

Phys. Rev. Lett

  • Phys. Rev. Lett
  • 2002

Phys. Rev. Lett

  • Phys. Rev. Lett
  • 1987


  • Rev. E 65, 011307 (2001); E. C. Rericha, C. Bizon, M. D. Shattuck, and H. L. Swinney, Phys. Rev. Lett. 88, 014302
  • 2002


  • Rev. Lett. 85, 3754
  • 2000


  • Rev. A 15, 319
  • 1977

Phys. Rev. Lett

  • Phys. Rev. Lett
  • 1998


  • Rev. Lett. 20, 248
  • 1968