1997/12/03 by S. Mori, Shintaro Mori, Emmanuel Guitter +1
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1088/0305-4470/30/24/003
published as J. Phys. A 30 (1997) L829-L838 · 12 pages, Tex (harvmac.tex), 4 figures. J.Phys.A (in press)
arxiv created 1997/12/03 · openalex publication_date 1997/12/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04
We study the folding of the regular two-dimensional triangular lattice embedded in the regular three-dimensional face centered cubic lattice, in the presence of quenched random spontaneous curvature. We consider two types of quenched randomness: (1) a `physical' randomness arising from a prior random folding of the lattice, creating a preferred spontaneous curvature on the bonds; (2) a simple randomness where the spontaneous curvature is chosen at random independently on each bond. We study the folding transitions of the two models within the hexagon approximation of the cluster variation method. Depending on the type of randomness, the system shows different behaviours. We finally discuss a Hopfield-like model as an extension of the physical randomness problem to account for the case where several different configurations are stored in the prior prefolding process.