Sphere caging by a random fibre network

Albert P. Philipse and Sebastiaan G.J.M. Kluijtmans

Physica A: Statistical Mechanics and its Applications, 1999, vol. 274, issue 3, 516-524

Abstract: We analyse the remarkable efficiency of a random distribution of rigid thin rods (with diameter σ) to ‘cage’ a test sphere (with diameter D⪢σ) by purely geometric hindrance due to rod–sphere contacts. The average number of random contacts which traps a sphere in three dimensions corresponds to a volume fraction φc=7(D/σ)2 of very long rods or fibres. Some implications for confinements and dynamics of (colloidal) particles in fibre structures are discussed.

Keywords: Fibre networks; Confined colloids; Fibrous porous media; Statistical geometry (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:274:y:1999:i:3:p:516-524

DOI: 10.1016/S0378-4371(99)00282-4

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