2005/12/31 by Carolina Brito, C Brito, Matthieu Wyart +1 · 3 citations
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1209/epl/i2006-10238-x
published as Europhys. Lett., 76 (1), pp. 149-155 (2006) · 7 pages, 4 figures. Figure 4 had a wrong unit in abscissa, which was corrected
openalex publication_date 2006/08/30 · arxiv created 2006/10/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We study theoretically and numerically the microscopic cause of the rigidity of hard-sphere glasses near their maximum packing. We show that, after coarse-graining over time, the hard-sphere interaction can be described by an effective potential which is exactly logarithmic at the random close packing ϕ c . This allows to define normal modes, and to apply recent results valid for elastic networks: rigidity is a non-local property of the packing geometry, and is characterized by some length scale l * which diverges at ϕ c (Wyart M., Nagel S. R. and Witten T. A., Europhys. Lett. , 72 (2005) 486; Wyart M., Silbert L. E., Nagel S. R. and Witten T. A., Phys. Rev. E , 72 (2005) 051306). We compute the scaling of the bulk and shear moduli near ϕ c , and speculate on the possible implications of these results for the glass transition.