Percolation processes

Simon Broadbent1, J. M. Hammersley2
1United Glass Bottle Manufacturers, Ltd
2United Kingdom Atomic EnergyResearch Establishment Harwell, Near Didcot, Berks

Tóm tắt

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.

Từ khóa


Tài liệu tham khảo

Hammersley, Percolation processes. IV. Lower bounds for the critical probability, Ann. math. Statist

Hammersley, 1954, Poor man's Monte Carlo, J.R. Statist. Soc., 16, 23

10.1017/S0305004100032692

10.1017/S030500410002497X

Hammersley, 1954, Markovian walks on crystals, Compos. math., 11, 171