Precise determination of the critical percolation threshold for the three-dimensional “Swiss cheese” model using a growth algorithm

Precise values for the critical threshold for the three-dimensional “Swiss cheese” continuum percolation model have been calculated using extensive Monte Carlo simulations. These simulations used a growth algorithm and memory blocking scheme similar to what we used previously in three-dimensional lattice percolation. The simulations yield a value for the critical number density nc = 0.652 960±0.000 005,nc=0.652960±0.000005, which confirms recent work but extends the precision by two significant figures. © 2001 American Institute of Physics.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/70114/2/JCPSA6-114-8-3659-1.pd