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Re-examination of seven-dimensional site percolation thresholds

Dietrich Stauffer·Robert M. Ziff
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Abstract

Monte Carlo simulations alone could not clarify the corrections to scaling for the size-dependent p_c(L) above the upper critical dimension. Including the previous series estimate for the bulk threshold $p_c(\infty)$ 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 p_c.

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Dietrich Stauffer, Robert M. Ziff. 1999-11-05. Re-examination of seven-dimensional site percolation thresholds. https://doi.org/10.1142/s0129183100000183

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