| Автор | P J Reynolds |
| Автор | H E Stanley |
| Автор | W Klein |
| Дата выпуска | 1978-08-01 |
| dc.description | The authors demonstrate that the critical properties of the percolation model can be obtained with a rather high degree of accuracy by extrapolating to b= infinity a sequence of position-space renormalisation group calculations for finite cells of side b. For b<or=5 we calculate the recursion relations in closed form, while for 4<or=b<or=500 we find the recursion relations by Monte Carlo methods. We then obtain a sequence of estimates for the critical concentration p<sub>c</sub> and the scaling powers y<sub>p</sub> and y<sub>h</sub> at the various values of b. Finally, we introduce a transformation from a cell of side b to a cell of side b', which may be viewed as an 'infinitesimal' transformation with a scale change of b/b'. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Percolation by position-space renormalisation group with large cells |
| Тип | lett |
| DOI | 10.1088/0305-4470/11/8/006 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 11 |
| Первая страница | L199 |
| Последняя страница | L207 |
| Аффилиация | P J Reynolds; Dept. of Phys., Boston Univ., Boston, MA, USA |
| Аффилиация | H E Stanley; Dept. of Phys., Boston Univ., Boston, MA, USA |
| Аффилиация | W Klein; Dept. of Phys., Boston Univ., Boston, MA, USA |
| Выпуск | 8 |
