Lower bound on the four-point dynamical susceptibility: Direct experimental test on a granular packing
Autor: | Lechenault, F., Dauchot, O., Biroli, G., Bouchaud, J. P. |
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Rok vydání: | 2007 |
Předmět: | |
Zdroj: | EPL, 83 (2008) 46002 |
Druh dokumentu: | Working Paper |
DOI: | 10.1209/0295-5075/83/46002 |
Popis: | 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. Comment: 5 pages, 3 figures |
Databáze: | arXiv |
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