F. Lechenault et al 2008 EPL 83 46002 doi:10.1209/0295-5075/83/46002
F. Lechenault1, O. Dauchot1, G. Biroli2 and J. P. Bouchaud3
Show affiliationsWe 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.
Issue 4 (August 2008)
Received 12 December 2007, accepted for publication 25 June 2008
Published 4 August 2008
F. Lechenault et al 2008 EPL 83 46002
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