A remarkable theoretical prediction for a crystalline (polymerized) surface is that its Poisson ratio (\sigma) is negative. Using a large scale Monte Carlo simulation of a simple model of such surfaces we show that this is indeed true. The precise numerical value we find is (\sigma \simeq -0.32) on a (128^2) lattice at bending rigidity (kappa = 1.1). This is in excellent agreement with the prediction (\sigma = -1/3) following from the self-consistent screening approximation of Le Doussal and Radzihovsky.
@article{arxiv.cond-mat/9610007,
title = {The Poisson ratio of crystalline surfaces},
author = {Marco Falcioni and Mark Bowick and Emmanuel Guitter and Gudmar Thorleifsson},
journal= {arXiv preprint arXiv:cond-mat/9610007},
year = {2016}
}
Comments
7 pages, 2 EPS figures, LaTeX2e. Revised version accepted for publication on Europhys. Lett