| Автор | F. A. Bosco |
| Автор | S. Goulart Rosa Jr. |
| Дата выпуска | 1987-11-15 |
| dc.description | We calculate the fractal dimension D (t) of the Julia set associated with the partition function zeros of the ferromagnetic Ising model on the Cayley tree. In the low-temperature phase the Julia set is the unit circle (D (t) = 1) in the complex fugacity plane. In the paramagnetic phase the Julia set is a Fatou dust (Cantor set) on the unit circle whose fractal dimension is a decreasing function of the temperature. Like an order parameter D (t) displays a singular behaviour with a critical exponent β<sub>D</sub> = 1/2. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Fractal Dimension of the Julia Set Associated with the Yang-Lee Zeros of the Ising Model on the Cayley Tree |
| Тип | lett |
| DOI | 10.1209/0295-5075/4/10/004 |
| Electronic ISSN | 1286-4854 |
| Print ISSN | 0295-5075 |
| Журнал | EPL (Europhysics Letters) |
| Том | 4 |
| Первая страница | 1103 |
| Последняя страница | 1108 |
| Выпуск | 10 |
