2005/09/06 by Eric Sultan, Arezki Boudaoud · 1 citation
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Advanced Materials and Mechanics #Bent molecular geometry #Distribution (mathematics) #Distribution function #Energy (signal processing) #Function (biology) #Geometry #Line (geometry) #Materials science #Mathematical analysis #Mathematics #Physics #Quantum mechanics #Statistical physics #Surface Modification and Superhydrophobicity #Theoretical and Computational Physics #cond-mat.soft
paper · pdf · doi:10.1103/physrevlett.96.136103
arxiv created 2005/09/06 · openalex publication_date 2006/04/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A statistical study of crumpled paper is allowed by a minimal 1D model: a self-avoiding line bent at sharp angles--in which the elastic energy resides--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 in which the parameter is predicted as a function of the number of layers in the system.