Pattern Formation in Vertically Vibrated Nails

Pattern Formation
in Vertically Vibrated Nails

M.Sc. report, unpublished, Sept. 2010.

T. Lynn MacDonald

Department of Physics, University of Toronto,
60 St. George St., Toronto, Ontario, Canada M5S 1A7.

We report the experimental observation of pattern formation in vertically vibrated nails. Phase diagrams are drawn as a function of packing fraction and signal generator driving voltage for two different aspect ratios. Aspect ratio is shown to affect the states of order observed in the system. We investigate the behaviour of patterns in nails with head-tail orientation in full layers at 100% packing fraction as the driving voltage is increased in increments over time. Calculations of nematic and antiferromagnetic order parameters from data derived using manual and semi-automated nail detection from images taken as a function of driving voltage and time are performed.

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