Pseudorandom Number Generators and the Square Site Percolation Threshold

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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11 pages, 6 figures

Scientific paper

10.1103/PhysRevE.78.031131

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.

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