| Автор | Q Cao |
| Автор | P Wong |
| Дата выпуска | 1992-01-21 |
| dc.description | The authors study the external surface of site-percolation clusters in three dimensions by Monte Carlo simulations on a simple cubic lattice at p=p<sub>c</sub>=0.3117. Their results show that for all cluster sizes, s, more than 99.8% of the occupied sites are on the external surface. The number of unoccupied boundary sites t is found to obey t/s=(1-p<sub>c</sub>)/p<sub>c</sub>+As<sup>- psi </sup> with psi =0.54=1- sigma , in agreement with the prediction of a scaling argument. The same argument also predicts psi =0.60 in two dimensions and it is confirmed. The relevance of these results to dynamical percolation growth models is discussed. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | External surface of site percolation clusters in three dimensions |
| Тип | lett |
| DOI | 10.1088/0305-4470/25/2/007 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 25 |
| Первая страница | L69 |
| Последняя страница | L74 |
| Аффилиация | Q Cao; Dept. of Phys. & Astron., Massachusetts Univ., Amherst, MA, USA |
| Аффилиация | P Wong; Dept. of Phys. & Astron., Massachusetts Univ., Amherst, MA, USA |
| Выпуск | 2 |
