Three-dimensional Folding of the Triangular Lattice
| dc.creator | Bowick, M. | |
| dc.creator | Di Francesco, P. | |
| dc.creator | Golinelli, O. | |
| dc.creator | Guitter, E. | |
| dc.date | 1995-02-15 | |
| dc.date.accessioned | 2026-07-07T07:44:39Z | |
| dc.date.available | 2026-07-07T07:44:39Z | |
| dc.description | We study the folding of the regular triangular lattice in three dimensional embedding space, a model for the crumpling of polymerised membranes. We consider a discrete model, where folds are either planar or form the angles of a regular octahedron. These "octahedral" folding rules correspond simply to a discretisation of the 3d embedding space as a Face Centred Cubic lattice. The model is shown to be equivalent to a 96--vertex model on the triangular lattice. The folding entropy per triangle ${\rm ln} q_{3d}$ is evaluated numerically to be $q_{3d}=1.43(1)$. Various exact bounds on $q_{3d}$ are derived. | |
| dc.description | 55 pages, uuencoded, uses harvmac (l mode) and epsf, 19+2 figures included | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9502063 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9502063 | |
| dc.identifier | Nucl.Phys. B450 (1995) 463-494 | |
| dc.identifier | doi:10.1016/0550-3213(95)00290-9 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123274 | |
| dc.subject | Condensed Matter | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Three-dimensional Folding of the Triangular Lattice | |
| dc.type | text |