The spontaneous emergence of ordered phases in crumpled sheets

Details The spontaneous emergence of ordered phases in crumpled sheets The spontaneous emergence of ordered phases in crumpled sheets

2009-12-21

arxiv.org/abs/0912.4091v1

Phys. Rev. Lett. 103, 263902 (2009)

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevLett.103.263902

X-ray tomography is performed to acquire 3D images of crumpled aluminum foils. We develop an algorithm to trace out the labyrinthian paths in the three perpendicular cross sections of the data matrices. The tangent-tangent correlation function along each path is found to decay exponentially with an effective persistence length that shortens as the crumpled ball becomes more compact. In the mean time, we observed ordered domains near the crust, similar to the lamellae phase mixed by the amorphous portion in lyotropic liquid crystals. The size and density of these domains grow with further compaction, and their orientation favors either perpendicular or parallel to the radial direction. Ordering is also identified near the core with an arbitrary orientation, exemplary of the spontaneous symmetry breaking.

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