Periodic Disc Packings Generated by Random Deposition in Narrow Channels
Paul Meakin, Rémi Jullien · Europhysics Letters (EPL) · 1991
Periodic structures have been found to be characteristic of two-dimensional Visscher-Bolsterli disc packings in narrow channels. The effective period d is related to the disc diameter, d 0 , and the channel width, w , by d ≃ ma ' d d 0 and ⟨ d ⟩ ≃ a d w , where a d ≃ 2⟨tg (θ)⟩ (θ is the angle of inclination of bonds between contacting discs in large w → ∞ packings and m is an integer) and a ' d ≃ 2.75. Similar results were obtained for disc packing simulations in narrow strips with periodic boundary conditions in the lateral direction.