title: Rigid Cluster Decomposition Reveals Criticality in Frictional Jamming.
abstract: We study the nature of the frictional jamming transition within the framework of rigidity percolation theory. Slowly sheared frictional packings are decomposed into rigid clusters and floppy regions with a generalization of the pebble game including frictional contacts. Our method suggests a second-order transition controlled by the emergence of a system-spanning rigid cluster accompanied by a critical cluster size distribution. Rigid clusters also correlate with common measures of rigidity. We contrast this result with frictionless jamming, where the rigid cluster size distribution is noncritical.
authors.affiliation: Institute of Complex Systems and Mathematical Biology, Department of Physics, University of Aberdeen, Aberdeen AB24 3UD, Scotland, United Kingdom.
authors.forename: Silke
authors.initials: S
authors.lastname: Henkes
authors.affiliation: Department of Bioengineering, Stanford University and Department of Plant Biology, Carnegie Institute of Washington, Stanford, California 94305, USA.
authors.forename: David A
authors.initials: DA
authors.lastname: Quint
authors.affiliation: Martin Fisher School of Physics, Brandeis University, Waltham, Massachusetts 02453, USA.
authors.forename: Yaouen
authors.initials: Y
authors.lastname: Fily
authors.affiliation: Department of Physics, Syracuse Biomaterials Institute, Syracuse University, Syracuse, New York 13244, USA.
authors.forename: J M
authors.initials: JM
authors.lastname: Schwarz
mesh_terms: D003198:Computer Simulation; D017276:Friction; D008962:Models, Theoretical; D010316:Particle Size; D033081:Shear Strength