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 behavior of a polymerized membrane in a discrete three-dimensional space. We have introduced a curvature energy and a symmetry breaking field and studied the phase diagram of the resulting model. By varying the curvature energy parameter, a first-order transition has been found between a flat and a folded phase for any value of the symmetry breaking field.
Folding transition of the triangular lattice in a discrete three-dimensional space / Cirillo, Emilio Nicola Maria; Giuseppe, Gonnella; A., Pellizzola. - In: PHYSICAL REVIEW E. - ISSN 1063-651X. - STAMPA. - 53:4 SUPPL. A(1996), pp. 3253-3256. [10.1103/physreve.53.3253]
Folding transition of the triangular lattice in a discrete three-dimensional space
CIRILLO, Emilio Nicola Maria;
1996
Abstract
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 behavior of a polymerized membrane in a discrete three-dimensional space. We have introduced a curvature energy and a symmetry breaking field and studied the phase diagram of the resulting model. By varying the curvature energy parameter, a first-order transition has been found between a flat and a folded phase for any value of the symmetry breaking field.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.