Title

Geometrical Folding Transitions of the Triangular Lattice in the Face-Centred Cubic Lattice

Author(s)/Creator(s)

Mark Bowick, Department of Physics, Syracuse University, Syracuse, NYFollow
Oliver Golinelli, CEA, Service de Physique Th´eorique de Saclay
Emmanuel Guitter, C.E.A.-Saclay, Service de Physique Th´eorique
S. Mori, Department of Physics, Graduate School of Science,

Document Type

Article

Date

11-13-1996

Language

English

Disciplines

Physics

Description/Abstract

We study the folding of the regular two-dimensional triangular lattice embedded in the regular three-dimensional Face-Centred Cubic lattice, a discrete model for the crumpling of membranes. Possible folds are complete planar folds, folds with the angle of a regular tetrahedron (71 degrees) or with that of a regular octahedron (109 degrees). We study this model in the presence of a negative bending rigidity K, which favours the folding process. We use both a cluster variation method (CVM) approximation and a transfer matrix approach. The system is shown to undergo two separate geometrical transitions with increasing |K|: a first discontinuous transition separates a phase where the triangular lattice is preferentially wrapped around octahedra from a phase where it is preferentially wrapped around tetrahedra. A second continuous transition separates this latter phase from a phase of complete folding of the lattice on top of a single triangle.

Additional Information

25 pages, uses harvmac(b) and epsf, 14+1 figures included More information at http://arxiv.org/abs/cond-mat/9611105

Recommended Citation

Bowick, Mark; Golinelli, Oliver; Guitter, Emmanuel; and Mori, S., "Geometrical Folding Transitions of the Triangular Lattice in the Face-Centred Cubic Lattice" (1996). Physics - All Scholarship. 167.
https://surface.syr.edu/phy/167

Source

Harvested from Arxiv.org

Creative Commons License

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