Folding transition of the triangular lattice
نویسندگان
چکیده
منابع مشابه
Folding 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...
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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...
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We study the problem of folding of the regular triangular lattice in the presence of a quenched random bending rigidity ±K and a magnetic field h (conjugate to the local normal vectors to the triangles). The randomness in the bending energy can be understood as arising from a prior marking of the lattice with quenched creases on which folds are favored. We consider three types of quenched rando...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1994
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.50.4418