i am having some trouble understanding the meaning of what a percolation threshold is [tex] p_{c}[/tex].(adsbygoogle = window.adsbygoogle || []).push({});

apparently on triangular lattices a threshold of 0.5 is the result on any sized lattice.

however i can definitely think of a way to fill in half the points on a triangle lattice and not have it span across the lattice.

similarly, one could make a zig zag line of connected sites to span a lattice without using anywhere near 1/2 the points. so is the percolation threshold a number at which you can expect to see percolation?

all the books im reading seem to say that above it everything has a percolating net and below it there are no possible percolating nets.

thanks a lot,

josh S

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# Percolation threshold

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