Folding of the Triangular Lattice with Quenched Random Bending Rigidity

Details Folding of the Triangular Lattice with Quenched Random Bending Rigidity Folding of the Triangular Lattice with Quenched Random Bending Rigidity

1996-07-11

arxiv.org/abs/cond-mat/9607077v1

Phys. Rev. E 55 (1997) 237-251

Physics

Condensed Matter

uses harvmac (l), epsf, 17 figs included, uuencoded, tar compressed

Scientific paper

10.1103/PhysRevE.55.237

We study the problem of folding of the regular triangular lattice in the presence of a quenched random bending rigidity + or - 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 randomness: (1) a ``physical'' randomness where the creases arise from some prior random folding; (2) a Mattis-like randomness where creases are domain walls of some quenched spin system; (3) an Edwards-Anderson-like randomness where the bending energy is + or - K at random independently on each bond. The corresponding (K,h) phase diagrams are determined in the hexagon approximation of the cluster variation method. Depending on the type of randomness, the system shows essentially different behaviors.

Affiliated with

Also associated with

No associations

Rating

Folding of the Triangular Lattice with Quenched Random Bending Rigidity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Folding of the Triangular Lattice with Quenched Random Bending Rigidity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Folding of the Triangular Lattice with Quenched Random Bending Rigidity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-65178