Re-examination of seven-dimensional site percolation thresholds
Abstract
Monte Carlo simulations alone could not clarify the corrections to scaling for the size-dependent pc(L) above the upper critical dimension. Including the previous series estimate for the bulk threshold pc(∞) gives preference for the complicated corrections predicted by renormalization group and against the simple 1/L extrapolation. Additional Monte-Carlo simulations using the Leath method corroborate the series result for pc.
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