Discrete Folding

Details Discrete Folding Discrete Folding

1996-10-30

arxiv.org/abs/cond-mat/9610215v1

Physics

Condensed Matter

Statistical Mechanics

LaTeX, 13 pages, 11 eps/ps figures: To appear in the Proceedings of the 4th Chia Meeting on "Condensed Matter and High-Energy

Scientific paper

Models of folding of a triangular lattice embedded in a discrete space are studied as simple models of the crumpling transition of fixed-connectivity membranes. Both the case of planar folding and three-dimensional folding on a face-centered-cubic lattice are treated. The 3d-folding problem corresponds to a 96-vertex model and exhibits a first-order folding transition from a crumpled phase to a completely flat phase as the bending rigidity increases.

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