D Wilkinson and J F Willemsen 1983 J. Phys. A: Math. Gen. 16 3365 doi:10.1088/0305-4470/16/14/028
D Wilkinson and J F Willemsen
Show affiliationsA new kind of percolation problem is described which differs from ordinary percolation theory in that it automatically finds the critical points of the system. The model is motivated by the problem of one fluid displacing another from a porous medium under the action of capillary forces, but in principle it may be applied to any kind of invasion process which proceeds along a path at least resistance. The name invasion percolation is proposed for this new process. Similarities to, and differences from, ordinary percolation theory are discussed.
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs
Issue 14 (1 October 1983)
D Wilkinson and J F Willemsen 1983 J. Phys. A: Math. Gen. 16 3365
A Olivo and R Speller 2006 Phys. Med. Biol. 51 3015
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