Stress condensation in crushed elastic manifolds

Details Stress condensation in crushed elastic manifolds Stress condensation in crushed elastic manifolds

1996-09-04

arxiv.org/abs/cond-mat/9609037v1

Physics

Condensed Matter

4 pages, RevTeX + epsf, 4 figures, Submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.78.1303

We discuss an M-dimensional phantom elastic manifold of linear size L crushed into a small sphere of radius R << L in N-dimensional space. We investigate the low elastic energy states of 2-sheets (M=2) and 3-sheets (M=3) using analytic methods and lattice simulations. When N \geq 2M the curvature energy is uniformly distributed in the sheet and the strain energy is negligible. But when N=M+1 and M>1, both energies appear to be condensed into a network of narrow M-1 dimensional ridges. The ridges appear straight over distances comparable to the confining radius R.

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