Length scales of clustering in granular gases

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

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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
Issue number24
Publication statusPublished - 14 Jun 1999



Cite this

Petzschmann, O., Schwarz, U., Spahn, F., Grebogi, C., & Kurths, J. (1999). Length scales of clustering in granular gases. Physical Review Letters, 82(24), 4819-4822.