| Автор | Z V Djordjevic |
| Автор | H E Stanley |
| Автор | A Margolina |
| Дата выпуска | 1982-08-01 |
| dc.description | A new method of estimating the critical percolation threshold is proposed, based on Stauffer's cluster number scaling hypothesis and the universality with respect to lattice structure of the corresponding Stauffer scaling function. This method is illustrated by obtaining estimates of the site percolation threshold for the honeycomb lattice, p<sub>c</sub>=0.6962+or-0.0006, and for the square lattice, p<sub>c</sub>=0.5923+or-0.0007. The error bars or 'confidence limits' of our estimates are substantially smaller than previous series estimates, and-for the honeycomb lattice-would have to be multiplied by the factor 18 to include the value, p<sub>c</sub>=2<sup>-1</sup>2/, recently proposed by Kondor (1980) to be exact. An additional result is R=4.95+or-0.15, where R=lim<sub>s to infinity </sub>R<sub>s</sub>, and R<sub>s</sub> is the ratio of the cluster number scaling function at its maximum to its value at p<sub>c</sub> for clusters of size s. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Site percolation threshold for honeycomb and square lattices |
| Тип | lett |
| DOI | 10.1088/0305-4470/15/8/006 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 15 |
| Первая страница | L405 |
| Последняя страница | L412 |
| Аффилиация | Z V Djordjevic; Dept. of Phys., Boston Univ., Boston, MA, USA |
| Аффилиация | H E Stanley; Dept. of Phys., Boston Univ., Boston, MA, USA |
| Аффилиация | A Margolina; Dept. of Phys., Boston Univ., Boston, MA, USA |
| Выпуск | 8 |
