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Percolation processes

I. Crystals and mazes

Published online by Cambridge University Press:  24 October 2008

S. R. Broadbent  and
J. M. Hammersley
S. R. Broadbent
Affiliation:
United Glass Bottle Manufacturers, Ltd
J. M. Hammersley
Affiliation:
United Kingdom Atomic EnergyResearch Establishment Harwell, Near Didcot, Berks
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 3 , July 1957 , pp. 629 - 641
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

REFERENCES

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(5)Hammersley, J. M.Percolation processes. IV. Lower bounds for the critical probability. Ann. math. Statist (in the press).Google Scholar