title: Critical scaling in linear response of frictionless granular packings near jamming.
abstract: We study the origin of the scaling behavior in frictionless granular media above the jamming transition by analyzing their linear response. The response to local forcing is non-self-averaging and fluctuates over a length scale that diverges at the jamming transition. The response to global forcing becomes increasingly nonaffine near the jamming transition. This is due to the proximity of floppy modes, the influence of which we characterize by the local linear response. We show that the local response also governs the anomalous scaling of elastic constants and contact number.
authors.affiliation: Instituut-Lorentz, Universiteit Leiden, Postbus 9506, 2300 RA Leiden, The Netherlands.
authors.forename: Wouter G
authors.initials: WG
authors.lastname: Ellenbroek
authors.forename: Ellák
authors.initials: E
authors.lastname: Somfai
authors.forename: Martin
authors.initials: M
authors.lastname: van Hecke
authors.forename: Wim
authors.initials: W
authors.lastname: van Saarloos