Three-dimensional folding of the triangular lattice
نویسندگان
چکیده
منابع مشابه
Folding transition of the triangular lattice in a discretethree { dimensional
A vertex model introduced onto the face centered cubic lattice has been studied in the hexagon approximation of the cluster variation method. The model describes the behaviour of a polymerized membrane in a discrete three{dimensional space. We have introduced a curvature energy and a symmetry breaking eld and studied the phase diagram of the resulting model. By varying the curvature energy para...
متن کاملFolding of the triangular lattice in a discrete three-dimensional space: density-matrix renormalization-group study.
Folding of the triangular lattice in a discrete three-dimensional space is investigated numerically. Such "discrete folding" has come about through theoretical investigation, since Bowick and co-workers introduced it as a simplified model for the crumpling of the phantom polymerized membranes. So far, it has been analyzed with the hexagon approximation of the cluster variation method (CVM). How...
متن کاملFolding transition of the triangular lattice in a discrete three-dimensional space.
A vertex model introduced by M. Bowick, P. Di Francesco, O. Golinelli, and E. Guitter [Nucl. Phys. B 450, 463 (1995)] describing the folding of the triangular lattice onto the face centered cubic lattice has been studied in the hexagon approximation of the cluster variation method. The model describes the behaviour of a polymerized membrane in a discrete three–dimensional space. We have introdu...
متن کاملFolding transition of the triangular lattice.
We study the problem of folding of the regular triangular lattice in the presence of bending rigidity K and magnetic field h (conjugate to the local normal vectors to the triangles). A numerical study of the transfer matrix of the problem shows the existence of three first order transition lines in the (K, h) plane separating three phases: a folded phase, a phase frozen in the completely flat c...
متن کاملFolding transitions of the triangular lattice with defects.
A recently introduced model describing the folding of the triangular lattice is generalized allowing for defects in the lattice and written as an Ising model with nearest– neighbor and plaquette interactions on the honeycomb lattice. Its phase diagram is determined in the hexagon approximation of the cluster variation method and the crossover from the pure Ising to the pure folding model is inv...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1995
ISSN: 0550-3213
DOI: 10.1016/0550-3213(95)00290-9