Three-dimensional folding of the triangular lattice

M. Bowick, P. Di Francesco, O. Golinelli, E. Guitter

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

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 languageEnglish (US)
Pages (from-to)463-494
Number of pages32
JournalNuclear Physics, Section B
Volume450
Issue number3
DOIs
StatePublished - Sep 18 1995

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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