| Автор | E T Gawlinski |
| Автор | H E Stanley |
| Дата выпуска | 1981-08-01 |
| dc.description | Detailed results are reported for the connectivity properties of a system of discs of unit radius free to be situated anywhere within a square of area 2L<sup>2</sup>. Ordinary lattice percolation would correspond to the discs being situated on the vertices of a square root 2L* square root 2L lattice. Computer simulations are carried out for a sequence of increasing system sizes ranging from L=20 to L=1000; for each value of L a large number of realisations are generated for 25 values of the disc concentration x. The authors calculate a variety of estimates for the threshold parameter x<sub>c</sub>, as well as the critical exponents beta , gamma , tau , and nu . Their exponent estimates are in close agreement with accepted values for ordinary lattice percolation, therefore this continuum system appears to be in the same 'universality class' as lattice percolation. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Continuum percolation in two dimensions: Monte Carlo tests of scaling and universality for non-interacting discs |
| Тип | lett |
| DOI | 10.1088/0305-4470/14/8/007 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 14 |
| Первая страница | L291 |
| Последняя страница | L299 |
| Аффилиация | E T Gawlinski; Dept. of Phys., Boston Univ., Boston, MA, USA |
| Аффилиация | H E Stanley; Dept. of Phys., Boston Univ., Boston, MA, USA |
| Выпуск | 8 |
