Pseudorandom Number Generators and the Square Site Percolation Threshold

Abstract

A select collection of pseudorandom number generators is applied to a Monte Carlo study of the two dimensional square site percolation model. A generator suitable for high precision calculations is identified from an application specific test of randomness. After extended computation and analysis, an ostensibly reliable value of pc = 0.59274598(4) is obtained for the percolation threshold.

11 pages, 6 figures

References in corpus (3)

• Exact bond percolation thresholds in two dimensions
• Rigorous confidence intervals for critical probabilities
• Complementary algorithms for graphs and percolation

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