Dresden 2011 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 22: Granular Matter/ Contact Dynamics

DY 22.12: Vortrag

Mittwoch, 16. März 2011, 17:00–17:15, HÜL 186

Length scales of volume correlations in disk packings — •SongChuan Zhao and Matthias Schröter — Max-Planck-Institut für Dynamik und Selbstorganisation, Göttingen

In a static granular packing particles influence their nearest neighbors e.g by force chains [1]. More recently, building on the ideas of Edwards and co-workers [2], experiments on the distribution of Voronoi volumes in 2D granular packing have found that the logarithm of the free volume distribution scales in a non-extensive way with the cluster size. This implies the existence of the correlation between Voronoi cells [3]. We present experimental data how the length of this correlation depends on packing fraction. We vary the packing fraction in the range 0.820~0.838. Three length scales related to the correlation are identified. Two of them only appear for denser packing (> 0.826). They characterize anti-correlation between Voronoi volumes. One of them increases strongly with packing fraction.

[1] T.S. Majmudar, R.P. Behringer Nature (2005) 435:1079-1082

[2] S.F. Edwards and R.B.S. Oakeshott, Physica A, 157 1080 (1989)

[3] F. Lechenault, F. da Cruz, O. Dauchot and E. Bertin. J. Stat. Mech. (2006) P07009