Lower bound on the four-point dynamical susceptibility: Direct experimental test on a granular packing

Details Lower bound on the four-point dynamical susceptibility: Direct experimental test on a granular packing Lower bound on the four-point dynamical susceptibility: Direct experimental test on a granular packing

2007-12-12

arxiv.org/abs/0712.2036v1

EPL, 83 (2008) 46002

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 3 figures

Scientific paper

10.1209/0295-5075/83/46002

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.

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