Length scales of clustering in granular gases

O Petzschmann, U Schwarz, F Spahn, C Grebogi, J Kurths

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

Clustering of granular gases is caused by the dissipation occurring in particle collisions. We use the generalized dimension, a measure for the inhomogeneity of a spatial distribution of particles to characterize the structural evolution. Furthermore, we quantify the typical length scale of the clusters obtained by 3D simulations using the index of dispersion, a measure for the deviation of the particle density from a Poissonian. We then derive an expression for the expected length scales of cluster formation from a stability analysis in the hydrodynamical approximation. We find a good agreement between our theoretical prediction and numerical experiments.

Original languageEnglish
Pages (from-to)4819-4822
Number of pages4
JournalPhysical Review Letters
Volume82
Issue number24
Publication statusPublished - 14 Jun 1999

Keywords

  • INSTABILITY
  • RESTITUTION
  • SPHERES

Cite this