| Автор | D S Gaunt |
| Автор | M F Sykes |
| Автор | S McKenzie |
| Дата выпуска | 1979-06-01 |
| dc.description | THe authors investigate the spin-<sup>1</sup>/<sub>2</sub> Ising model with nearest-neighbour interactions on the four-dimensional simple hypercubic lattice. High-temperature series expansions are studied for the zero-field susceptibility chi <sub>0</sub> and the fourth-field derivative of the free energy Xi <sub>0</sub><sup>(2)</sup> up to order nu <sup>17</sup>. The series are analysed for singularities of the form t<sup>-1</sup> mod 1nt mod <sup>p</sup> where t is the reduced temperature. For chi <sub>0</sub> it is found that p=0.33+or-0.07 when q=1, in good agreement with the prediction p=<sup>1</sup>/<sub>3</sub>, q=1 of renormalisation group theory. The critical temperature is estimated to be nu <sub>c</sub><sup>-1</sup>=6.7315+or-0.0015. Results for chi <sub>0</sub><sup>(2)</sup> are more slowly convergent but are not inconsistent with the renormalisation group prediction p=<sup>1</sup>/<sub>3</sub>, q=4. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Susceptibility and fourth-field derivative of the spin-<sup>1</sup>/<sub>2</sub> Ising model for T>T<sub>c</sub> and d=4 |
| Тип | paper |
| DOI | 10.1088/0305-4470/12/6/018 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 12 |
| Первая страница | 871 |
| Последняя страница | 877 |
| Аффилиация | D S Gaunt; Wheatstone Phys. Lab., King's Coll., Univ. of London, London, UK |
| Аффилиация | M F Sykes; Wheatstone Phys. Lab., King's Coll., Univ. of London, London, UK |
| Аффилиация | S McKenzie; Wheatstone Phys. Lab., King's Coll., Univ. of London, London, UK |
| Выпуск | 6 |
