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

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dc.creatorBowick, Mark
dc.creatorGolinelli, Olivier
dc.creatorGuitter, Emmanuel
dc.creatorMori, Shintaro
dc.date1996-11-13
dc.date.accessioned2026-07-07T09:11:17Z
dc.date.available2026-07-07T09:11:17Z
dc.descriptionWe 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.
dc.description25 pages, uses harvmac(b) and epsf, 14+1 figures included
dc.identifierhttps://arxiv.org/abs/cond-mat/9611105
dc.identifierhttp://arxiv.org/abs/cond-mat/9611105
dc.identifierNucl.Phys. B495 (1997) 583-607
dc.identifierdoi:10.1016/S0550-3213(97)00198-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/151625
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleGeometrical Folding Transitions of the Triangular Lattice in the Face-Centred Cubic Lattice
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