| Автор | Saburo Higuchi |
| Дата выпуска | 1999-05-21 |
| dc.description | A Hamiltonian cycle of a graph is a closed path that visits every vertex once and only once. It serves as a model of a compact polymer on a lattice. I study the number of Hamiltonian cycles, or equivalently the entropy of a compact polymer, on various lattices that are not homogeneous but with a sublattice structure. Estimates for the number are obtained by two methods. One is the saddle point approximation for a field theoretic representation. The other is the numerical diagonalization of the transfer matrix of a fully packed loop model in the zero fugacity limit. In the latter method, several scaling exponents are also obtained. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Compact polymers on decorated square lattices |
| Тип | paper |
| DOI | 10.1088/0305-4470/32/20/303 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 32 |
| Первая страница | 3697 |
| Последняя страница | 3709 |
| Аффилиация | Saburo Higuchi; Department of Pure and Applied Sciences, The University of Tokyo, Komaba, Meguro, Tokyo 153-8902, Japan |
| Выпуск | 20 |
