Volume 83, Number 4, August 2008
|Number of page(s)||5|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||04 August 2008|
Lower bound on the four-point dynamical susceptibility: Direct experimental test on a granular packing
CEA Saclay/SPEC, URA2464 - L'Orme des Merisiers, 91191 Gif-sur-Yvette, France, EU
2 CEA Saclay/SPhT, UMR2306 - L'Orme des Merisiers, 91191 Gif-sur-Yvette, France, EU
3 Science & Finance, Capital Fund Management - 6-8 Bd. Haussmann, 75009 Paris, France, EU
Corresponding author: firstname.lastname@example.org
Accepted: 25 June 2008
We track the motion of a horizontally vibrated amorphous assembly of bidisperse hard disks, for densities ranging across the jamming transition. We derive on very general grounds a bound on the dynamical susceptibility in terms of the response of the dynamics to a change in density. This generalizes a similar bound recently derived for equilibrium liquids. We find that in our experimental system the bound is tight and reproduces the non-monotonic behavior of the dynamical susceptibility both in time and density across the jamming transition. The underlying scaling behavior reveals an intimate connection between anomalous diffusion and dynamical heterogeneity.
PACS: 64.70.P- – Glass transitions of specific systems / 05.40.Ca – Noise / 45.70.Cc – Static sandpiles; granular compaction
© EPLA, 2008
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