Statistical fluctuations are observed to profoundly influence the clustering behavior of granular material in a vibrated system consisting of two connected compartments. When the number of particles N is sufficiently large sN<300 is sufficientd, the clustering follows the lines of a standard second-order phase transition and a mean-field description works. For smaller N, however, the enhanced influence of statistical fluctuations breaks the mean-field behavior. We quantitatively describe the competition between fluctuations and mean-field behavior sas a function of Nd using a dynamical flux model and molecular dynamics simulations.
|Number of pages||12|
|Journal||Physical review E: Statistical, nonlinear, and soft matter physics|
|Publication status||Published - 2005|