The Statistics of Crumpled Paper

Details The Statistics of Crumpled Paper The Statistics of Crumpled Paper

2005-09-06

arxiv.org/abs/cond-mat/0509137v1

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevLett.96.136103

A statistical study of crumpled paper is allowed by a minimal 1D model: a self-avoiding line bent at sharp angles -- in which resides the elastic energy -- put in a confining potential. Many independent equilibrium configurations are generated numerically and their properties are investigated. At small confinement, the distribution of segment lengths is log-normal in agreement with previous predictions and experiments. At high confinement, the system approaches a jammed state with a critical behavior, whereas the length distribution follows a Gamma law which parameter is predicted as a function of the number of layers in the system.

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