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

René Mikkelsen1,2, Ko van der Weele1, Devaraj van der Meer1, Martin van Hecke2, and Detlef Lohse1

  • 1Department of Science and Technology and J. M. Burgers Centre for Fluid Dynamics, University of Twente, P. O. Box 217, 7500 AE Enschede, The Netherlands
  • 2Kamerling Onnes Laboratory, P. O. Box 9504, 2300 RA Leiden, The Netherlands

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Phys. Rev. E 71, 041302 – Published 8 April, 2005

DOI: https://doi.org/10.1103/PhysRevE.71.041302

Abstract

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 (N≈300 is sufficient), 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 (as a function of N) using a dynamical flux model and molecular dynamics simulations.

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References (19)

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Phys. Rev. E 71, 041302– Published 8 April, 2005
  • Received 2 December 2004

© 2005 American Physical Society

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