Fig. 2
From: Thermal crumpling of perforated two-dimensional sheets

Snapshots of thermalized configurations. We superimpose the configurations of a pristine sheet (blue) and a perforated sheet with holes of size R = 2, in the pattern of Fig. 1b (red) for two values of the temperature (in units of the bending rigidity \(\tilde \kappa \)). In both cases, the full sheet is well into the flat phase, the thermal fluctuations causing just some wrinkling and oscillation. This 10% increase in the temperature, however, triggers a crumpling of the perforated sheet. Both systems have size L = 100a. See Supplementary Movies 1 and 2 for animations of these simulations