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  • Mathematical Proceedings of the Cambridge Philosophical Society, Volume 53, Issue 3
  • July 1957, pp. 629-641

Percolation processes: I. Crystals and mazes

  • S. R. Broadbent (a1) and J. M. Hammersley (a2)
  • DOI: http://dx.doi.org/10.1017/S0305004100032680
  • Published online: 24 October 2008
Abstract
ABSTRACT

The paper studies, in a general way, how the random properties of a ‘medium’ influence the percolation of a ‘fluid’ through it. The treatment diifers from conventional diffusion theory, in which it is the random properties of the fluid that matter. Fluid and medium bear general interpretations: for example, solute diffusing through solvent, electrons migrating over an atomic lattice, molecules penetrating a porous solid, disease infecting a community, etc.

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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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