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

2007/12/12 by F. Lechenault, O. Dauchot, G. Biroli +1
Engineering · Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Phase Equilibria and Thermodynamics #Test (biology) #Theoretical and Computational Physics #Upper and lower bounds #Work (physics) #cond-mat.soft

paper · pdf · doi:10.1209/0295-5075/83/46002

published as EPL, 83 (2008) 46002 · 5 pages, 3 figures

arxiv created 2007/12/12 · openalex publication_date 2008/08/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• On the Temperature Dependence of Cooperative Relaxation Properties in Glass-Forming Liquids
• Heterogeneous Diffusion in Highly Supercooled Liquids
• Nonequilibrium temperatures in steady-state systems with conserved energy
• Dynamical Heterogeneity Close to the Jamming Transition in a Sheared Granular Material
• Los fieles difuntos
• Spatial correlations in the dynamics of glassforming liquids: Experimental determination of their temperature dependence
• Spatially Heterogeneous Dynamics in Supercooled Liquids