Random folding of the triangular lattice: Numerical study

Details Random folding of the triangular lattice: Numerical study Random folding of the triangular lattice: Numerical study

Jun 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000aipc..519..377m&link_type=abstract

STATISTICAL PHYSICS: Third Tohwa University International Conference. AIP Conference Proceedings, Volume 519, pp. 377-379 (2000

Physics

Condensed Matter

Statistical Mechanics

Lattice Theory And Statistics, Order-Disorder Transformations, Statistical Mechanics Of Model Systems

Scientific paper

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/l2.1~2.3, 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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