| Автор | H Nakanishi |
| Автор | H E Stanley |
| Дата выпуска | 1981-03-01 |
| dc.description | Cluster statistics obtained by the Monte Carlo method for percolation processes in systems of dimensionality two to seven are analysed for the percolation analogue of the thermodynamic equation of state. In particular, the authors calculate the scaling functions for the analogues of the thermodynamic potentials and their derivatives, and investigate their dependence on dimension d. They are guided by the two exactly soluble limits of d=1 and the Bethe lattice (d= infinity ). The scaling region, where a good degree of data collapsing can be observed, is investigated in terms of the two 'thermodynamic' variables, one of which is analogous to the temperature and the other to the magnetic field. The characteristic forms of the scaling functions are closely related to the 'thermodynamic' stability conditions. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Scaling studies of percolation phenomena in systems of dimensionality two to seven. II. Equation of state |
| Тип | paper |
| DOI | 10.1088/0305-4470/14/3/017 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 14 |
| Первая страница | 693 |
| Последняя страница | 720 |
| Аффилиация | H Nakanishi; Dept. of Phys., Boston Univ., Boston, MA, USA |
| Аффилиация | H E Stanley; Dept. of Phys., Boston Univ., Boston, MA, USA |
| Выпуск | 3 |
