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SUMMARY:Keynote lecture: Universal Laws of Packing Efficiency - Tomaso Ast
 e (University College London)
DTSTART:20230823T080000Z
DTEND:20230823T090000Z
UID:TALK202615@talks.cam.ac.uk
DESCRIPTION:Several universal fractal scaling relations are found in dense
  high polydispersity random packings across both a range of packing protoc
 ols and grain shapes. We derive an explicit relation between the local fre
 e volume fraction surrounding each grain and the power law exponent for th
 e decay in the global pore space volume which is directly related to the g
 rain shape via a renormalized adimensional volume of the grain and demonst
 rate that this predicts well the packing packing efficiency for a broad ra
 nge of grain shapes and a wide variety of packing algorithms. We demonstra
 te the validity of the derived relations over a wide set of grain-anisotro
 pies\, non-convexity\, and shape-mixture in large packings\, of up to a mi
 llion grains\, for a broad range of shapes for both the classical random A
 pollonian packing model (RAP)\, for the rotational random Apollonian packi
 ng model (RRAP) and for a new variation which keeps grains at fixed orient
 ation (FRAP).
LOCATION:External
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