Jammed spheres: Minkowski tensors reveal onset of local crystallinity

Beitrag in einer Fachzeitschrift

Details zur Publikation

Autorinnen und Autoren: Kapfer S, Mickel W, Mecke K, Schröder-Turk G
Zeitschrift: Physical Review E
Jahr der Veröffentlichung: 2012
Band: 85
Heftnummer: 3
ISSN: 2470-0045


The local structure of disordered jammed packings of monodisperse spheres without friction, generated by the Lubachevsky-Stillinger algorithm, is studied for packing fractions above and below 64%. The structural similarity of the particle environments to fcc or hcp crystalline packings (local crystallinity) is quantified by order metrics based on rank-four Minkowski tensors. We find a critical packing fraction phi(c) approximate to 0.649, distinctly higher than previously reported values for the contested random close packing limit. At phi(c), the probability of finding local crystalline configurations first becomes finite and, for larger packing fractions, increases by several orders of magnitude. This provides quantitative evidence of an abrupt onset of local crystallinity at phi(c). We demonstrate that the identification of local crystallinity by the frequently used local bond-orientational order metric q(6) produces false positives and thus conceals the abrupt onset of local crystallinity. Since the critical packing fraction is significantly above results from mean-field analysis of the mechanical contacts for frictionless spheres, it is suggested that dynamic arrest due to isostaticity and the alleged geometric phase transition in the Edwards framework may be disconnected phenomena.

FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Kapfer, Sebastian
Lehrstuhl für Theoretische Physik
Mecke, Klaus Prof. Dr.
Lehrstuhl für Theoretische Physik
Schröder-Turk, Gerd PD Dr.
Lehrstuhl für Theoretische Physik

Zusätzliche Organisationseinheit(en)
Exzellenz-Cluster Engineering of Advanced Materials


A3 Multiscale Modeling and Simulation
Exzellenz-Cluster Engineering of Advanced Materials


Kapfer, S., Mickel, W., Mecke, K., & Schröder-Turk, G. (2012). Jammed spheres: Minkowski tensors reveal onset of local crystallinity. Physical Review E, 85(3). https://dx.doi.org/10.1103/PhysRevE.85.030301

Kapfer, Sebastian, et al. "Jammed spheres: Minkowski tensors reveal onset of local crystallinity." Physical Review E 85.3 (2012).


Zuletzt aktualisiert 2018-06-08 um 16:08