title: Jamming in finite systems: stability, anisotropy, fluctuations, and scaling.
abstract: Athermal packings of soft repulsive spheres exhibit a sharp jamming transition in the thermodynamic limit. Upon further compression, various structural and mechanical properties display clean power-law behavior over many decades in pressure. As with any phase transition, the rounding of such behavior in finite systems close to the transition plays an important role in understanding the nature of the transition itself. The situation for jamming is surprisingly rich: the assumption that jammed packings are isotropic is only strictly true in the large-size limit, and finite-size has a profound effect on the very meaning of jamming. Here, we provide a comprehensive numerical study of finite-size effects in sphere packings above the jamming transition, focusing on stability as well as the scaling of the contact number and the elastic response.
authors.affiliation: Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.
authors.forename: Carl P
authors.initials: CP
authors.lastname: Goodrich
authors.affiliation: Huygens-Kamerlingh Onnes Lab, Universiteit Leiden, Postbus 9504, 2300 RA Leiden, The Netherlands and Instituut-Lorentz, Universiteit Leiden, Postbus 9506, 2300 RA Leiden, The Netherlands.
authors.forename: Simon
authors.initials: S
authors.lastname: Dagois-Bohy
authors.affiliation: Delft University of Technology, Process & Energy Laboratory, Leeghwaterstraat 39, 2628 CB Delft, The Netherlands.
authors.forename: Brian P
authors.initials: BP
authors.lastname: Tighe
authors.affiliation: Huygens-Kamerlingh Onnes Lab, Universiteit Leiden, Postbus 9504, 2300 RA Leiden, The Netherlands.
authors.forename: Martin
authors.initials: M
authors.lastname: van Hecke
authors.affiliation: Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.
authors.forename: Andrea J
authors.initials: AJ
authors.lastname: Liu
authors.affiliation: James Franck and Enrico Fermi Institutes, The University of Chicago, Chicago, Illinois 60637, USA.
authors.forename: Sidney R
authors.initials: SR
authors.lastname: Nagel
mesh_terms: D016880:Anisotropy; D003198:Computer Simulation; D004548:Elasticity; D008962:Models, Theoretical; D044367:Phase Transition; D011312:Pressure; D011336:Probability