Abstract
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 ln q3d is evaluated numerically to be q3d = 1.43(1). Various exact bounds on q3d are derived.
Original language | English (US) |
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Pages (from-to) | 463-494 |
Number of pages | 32 |
Journal | Nuclear Physics, Section B |
Volume | 450 |
Issue number | 3 |
DOIs | |
State | Published - Sep 18 1995 |
ASJC Scopus subject areas
- Nuclear and High Energy Physics