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Sphere caging by a random fibre network

Author

Listed:
  • Philipse, Albert P.
  • Kluijtmans, Sebastiaan G.J.M.

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.

Suggested Citation

  • Philipse, Albert P. & Kluijtmans, Sebastiaan G.J.M., 1999. "Sphere caging by a random fibre network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 274(3), pages 516-524.
    • Handle: RePEc:eee:phsmap:v:274:y:1999:i:3:p:516-524
    DOI: 10.1016/S0378-4371(99)00282-4
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