| Автор | D S Gaunt |
| Автор | P J Peard |
| Дата выпуска | 2000-10-27 |
| dc.description | We give the 1/d-expansion, to order 1/d<sup>5</sup>, for the limiting reduced free energy of a weakly embedded two-variable site animal model of branched polymers. Hence, we are able to derive expansions for the free energy of related one-variable models and the growth constant of weakly and strongly embedded trees, again to order 1/d<sup>5</sup>. We argue that the free energy expansions are asymptotically correct for a small range of fugacities only. Exact results show that animals with a compact hypercubic structure make the overwhelming contribution to the total number of weakly embedded site animals, especially for large d. This result is not reflected in the free energy 1/d-expansions, where trees make the dominant contribution. We also derive new exact enumeration data for lattice animals using intermediate calculations in the derivation of the 1/d-expansions. Thus, we give partition functions for the general d-dimensional hypercubic lattice for one to 13 sites. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | 1/d-expansions for the free energy of weakly embedded site animal models of branched polymers |
| Тип | paper |
| DOI | 10.1088/0305-4470/33/42/304 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 33 |
| Первая страница | 7515 |
| Последняя страница | 7539 |
| Аффилиация | D S Gaunt; Department of Physics, King's College, Strand, London WC2R 2LS, UK |
| Аффилиация | P J Peard; Department of Physics, King's College, Strand, London WC2R 2LS, UK |
| Выпуск | 42 |
