EXAMPLES of BOOTSTRAP PERCOLATION
- The first and last frames for the two simple cases of m=1
and m=2 were already shown for the triangular lattice.
An animation at p=.51 can also be viewed
here.
- The situation for the square lattice is similar for m=2 at p=0.55. For these and the threedimensional lattices it is always the case that m=1,2 do not alter
the percolation threshold.
- For m=3 and above the situation changes
and becomes lattice dependent. For the triangular case, the threshold
remains finite for m=3 although here
at p=0.66 there is a great attrition of sites. For the square lattice
instabilities set in and for all initial concentrations,
all sites are
annihilated in the infinite system limit.