Random folding of the triangular lattice: Numerical study

Mori, S.
June 2000
AIP Conference Proceedings;2000, Vol. 519 Issue 1, p377
Academic Journal
We study a simple model of random folding of the triangular lattice. We model random folding process as writing creases randomly along the bonds of the triangular lattice. The end-to-end distance R, the bending energy E, the distribution function P(l) of the length of crease l are studied numerically. The distribution function P(l) shows power low behavior P(l) ∝ 1/l[sup 2.1∼2.3], irrespective of the types of dynamics and boundary condition, which remind us of the 'universal' power low of the noise emitted from the crumpled elastic sheets (E.M.Kramer and A.E.Lobkovsky, Phys. Rev.E53 (1996) 1465).


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