Pseudo-random-number generators and the square site percolation threshold
Abstract
Selected pseudo-random-number generators are applied to a Monte Carlo study of the two-dimensional square-lattice 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.
- Publication:
-
Physical Review E
- Pub Date:
- September 2008
- DOI:
- arXiv:
- arXiv:0807.1576
- Bibcode:
- 2008PhRvE..78c1131L
- Keywords:
-
- 64.60.ah;
- 02.70.Uu;
- Percolation;
- Applications of Monte Carlo methods;
- Condensed Matter - Disordered Systems and Neural Networks
- E-Print:
- 11 pages, 6 figures