Title

Three-Dimensional Folding of the Triangular Lattice

Author(s)/Creator(s)

Mark Bowick, Department of Physics, Syracuse University, Syracuse, NYFollow
P Di Francesco, Service de Physique Th´eorique de Saclay
Oliver Golinelli, Service de Physique Th´eorique de Saclay
Emmanuel Guitter, C.E.A.-Saclay, Service de Physique Th´eorique

Document Type

Article

Date

10-4-2011

Language

English

Disciplines

Physics

Description/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 ${\rm ln} q_{3d}$ is evaluated numerically to be $q_{3d}=1.43(1)$. Various exact bounds on $q_{3d}$ are derived.

Additional Information

55 pages, uuencoded, uses harvmac (l mode) and epsf, 19+2 figures included More information at http://arxiv.org/abs/cond-mat/9502063

Recommended Citation

Bowick, Mark; Francesco, P Di; Golinelli, Oliver; and Guitter, Emmanuel, "Three-Dimensional Folding of the Triangular Lattice" (2011). Physics - All Scholarship. 172.
https://surface.syr.edu/phy/172

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.