Numéro
J. Phys. I France
Volume 1, Numéro 9, September 1991
Page(s) 1263 - 1277
DOI https://doi.org/10.1051/jp1:1991201
DOI: 10.1051/jp1:1991201
J. Phys. I France 1 (1991) 1263-1277

Stability of two-dimensional packings of disks built with ballistic deposition

Rémi Jullien1 and Paul Meakin2

1  Bât. 510, Physique des Solides, Université Paris-Sud, Centre d'Orsay, 91405 Orsay, France
2  Central Research and Development Departement, E.I. du Pont de Nemours and Company, Wilmington, DE 19880-0356, U.S.A.


(Received 6 March 1991, accepted in final form 23 April 1991)

Abstract
Two-dimensional packings of identical hard disks of unit diameter are generated using a ballistic model with complete restructuring and starting from a first row made with disks horizontally regularly spaced by $a=2\sin \psi$, with $\psi$ ranging from $\frac{\pi}{6}$ to $\frac{\pi}{3}$. The stability with respect to random vertical displacements for the disks in the first row was studied. A transition from a pseudo-regular array without defects to a random structure with defects is observed when the amount of disorder $\delta$ (amplitude of the vertical displacements) passes a critical value $\delta_{\rm c}$ and a phase diagram is measured in the $(\psi,\delta)$ plane which can be understood in terms of simple geometrical arguments. The random structure found for $\delta>\delta_{\rm c}$ does not depend too much on $\psi$ and strongly ressembles to the one obtained when starting from a horizontal basal line: the density of defects decreases as a power law with height and the large-height defect-free structure is characterized by a broad distribution of bond angles.



© Les Editions de Physique 1991

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.