2009/12/31 by David Aristoff, Charles Radin
Engineering · Materials Science · Physics and Astronomy · #Advanced Materials and Mechanics #Biology #Condensed matter physics #Geology #Layering #Liquid Crystal Research Advancements #Materials science #Mechanics #Micro and Nano Robotics #Phase (matter) #Phase transition #Physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1209/0295-5075/91/56003
published as Europhys. Lett. 91(2010), 56003 · added references, especially to the Flory model
arxiv created 2010/01/14 · openalex publication_date 2010/09/01 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce a toy model of crumpled sheets, and use Monte Carlo simulation to show there is a first-order phase transition in the model, from a disordered dilute phase to a mixture with a layered phase. We demonstrate the transition through two order parameters, corr and lay , the first of which measures orientational order while the second measures bulk layering. An important feature of the argument is the behavior of the system as its size is increased.