| Автор | Y Gefen |
| Автор | A Aharony |
| Автор | B B Mandelbrot |
| Дата выпуска | 1983-04-21 |
| dc.description | Magnetic spin models and resistor networks are studied on certain self-similar fractal lattices, which are described as 'quasi-linear', because they share a significant property of the line: finite portions can be isolated from the rest by removal of two points (sites). In all cases, there is no long-range order at finite temperature. The transition at zero temperature has a discontinuity in the magnetisation, and the associated magnetic exponent is equal to the fractal dimensionality, D. When the lattice reduces to a non-branching curve the thermal exponent v<sup>-1</sup>=y is equal to D. When the lattice is a branching curve, y is related, respectively, to the dimensionality of the single-channel segments of the curve (for the Ising model), or to the exponent describing the resistivity (for models with continuous spin symmetry). |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Phase transitions on fractals. I. Quasi-linear lattices |
| Тип | paper |
| DOI | 10.1088/0305-4470/16/6/021 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 16 |
| Первая страница | 1267 |
| Последняя страница | 1278 |
| Аффилиация | Y Gefen; Dept. of Phys. & Astron., Tel-Aviv Univ., Tel-Aviv, Israel |
| Аффилиация | A Aharony; Dept. of Phys. & Astron., Tel-Aviv Univ., Tel-Aviv, Israel |
| Аффилиация | B B Mandelbrot; Dept. of Phys. & Astron., Tel-Aviv Univ., Tel-Aviv, Israel |
| Выпуск | 6 |
