Layering in crumpled sheets
Mathematics Department, University of Texas - Austin, TX 78712, USA
Accepted: 19 August 2010
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.
PACS: 68.60.Bs – Mechanical and acoustical properties / 64.60.Ej – Studies/theory of phase transitions of specific substances
© EPLA, 2010