| Автор | P J Peard |
| Автор | D S Gaunt |
| Дата выпуска | 1995-11-07 |
| dc.description | We model a self-interacting branched polymer by a nearest-neighbour contact model of lattice animals with either site or bond counting (k- and k'-models, respectively). 1/d-expansions for the reduced limiting free energy are derived through order l/d<sup>5</sup> in which the coefficients are temperature dependent. By evaluating the coefficients at certain special temperatures, we obtain 1/d-expansions for the growth constants of various types of lattice animal, again through order 1/d<sup>d</sup>. The 1/d-expansions are used to obtain numerical estimates of the growth constants and to study the temperature dependence of the reduced limiting free energies on d-dimensional simple hypercubic lattices for values of d up to the upper critical dimension. The results are compared with ones obtained by more conventional series methods. Unexpected results are obtained for a range of values of the temperature variable. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | 1/d-expansions for the free energy of lattice animal models of a self-interacting branched polymer |
| Тип | paper |
| DOI | 10.1088/0305-4470/28/21/015 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 28 |
| Первая страница | 6109 |
| Последняя страница | 6124 |
| Аффилиация | P J Peard; Dept. of Phys., King's Coll., London, UK |
| Аффилиация | D S Gaunt; Dept. of Phys., King's Coll., London, UK |
| Выпуск | 21 |
