English

Pseudorandom Number Generators and the Square Site Percolation Threshold

Disordered Systems and Neural Networks 2009-11-13 v1

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.

Keywords

Cite

@article{arxiv.0807.1576,
  title  = {Pseudorandom Number Generators and the Square Site Percolation Threshold},
  author = {Michael J. Lee},
  journal= {arXiv preprint arXiv:0807.1576},
  year   = {2009}
}

Comments

11 pages, 6 figures

R2 v1 2026-06-21T10:59:08.600Z