Two interpenetrating percolated networks

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The discussion centers on the feasibility of creating two interpenetrating percolated networks composed of randomly arranged spheres of equal size. The user inquires about the possibility of achieving percolating clusters for both networks when spheres A and B are present at a 50% concentration each. The critical density for percolation is identified as 0.31, which is a key threshold for understanding percolation theory. The user recommends consulting the Wikipedia article on percolation theory for further insights.

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Alvine Alvin
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Hi,

Sorry I'm not sure where I should post this, so hopefully this forum is ok.

Is it possible to have two interpenetrating percolated networks of randomly arrange spheres of the same size? So if I have a 50% concentrationg of sphere A, and 50% of sphere B and arrange them randomly within a lattice, will I have percolating clusters of both? What is the critical density for percolation of either network? I couldn't see the answer online, maybe because I don't really know what to search for but it sounds like the sort of thing that should be known.

Thanks.

Edit: found it. 0.31 apparently.
 
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