Discrete Folding

Mark Bowick; Philippe Di Francesco; Olivier Golinelli; Emmanuel Guitter

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arXiv · cond-mat/9610215

Discrete Folding

Mark Bowick·Philippe Di Francesco·Olivier Golinelli·Emmanuel Guitter

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Abstract

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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Mark Bowick, Philippe Di Francesco, Olivier Golinelli, Emmanuel Guitter. 1996-10-30. Discrete Folding. https://arxiv.org/abs/cond-mat/9610215

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