| Автор | L T Wille |
| Дата выпуска | 1987-12-01 |
| dc.description | The problem of packing spheres of a maximum radius on the surface of a four-dimensional hypersphere is considered. It is shown how near-optimal solutions can be obtained by packing soft spheres, modelled as classical particles interacting under an inverse power potential, followed by a subsequent hardening of the interaction. In order to avoid trapping in high-lying local minima, the simulated annealing method is used to optimise the soft-sphere packing. Several improvements over other work (based on local optimisation of random initial configurations of hard spheres) have been found. The freezing behaviour of this system is discussed as a function of particle number, softness of the potential and cooling rate. Apart from their geometric interest, these results are useful in the study of topological frustration, metallic glasses and quasicrystals. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Close packing in curved space by simulated annealing |
| Тип | lett |
| DOI | 10.1088/0305-4470/20/17/014 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 20 |
| Первая страница | L1211 |
| Последняя страница | L1218 |
| Аффилиация | L T Wille; SERC Daresbury Lab., Warrington, UK |
| Выпуск | 17 |
