Publication : t95/019
Three-dimensional folding of the triangular lattice
Bowick M.J. (Physics Department, Syracuse University, 201 Physics Building, Syracuse, NY 13244-1130, USA)Di Francesco P. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Golinelli O. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Guitter E. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Abstract:Année de publication : 1995
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.
Revue : Nucl. Phys. B [FS] 450 463-494 (1995)
DOI : 10.1016/0550-3213(95)00290-9
Preprint : arXiv:cond-mat/9502063
Numéro Exterieur : SU-4240-602
Langue : Anglais
Fichier(s) à télécharger :
nucl_phys_b-450-463.pdf publi.pdf
