Title

The Poisson ratio of crystalline surfaces

Author(s)/Creator(s)

Marco Falcioni, Syracuse University
Mark Bowick, Department of Physics, Syracuse University, Syracuse, NYFollow
Emmanuel Guitter, C.E.A.-Saclay, Service de Physique Th´eorique
Gudmar Thorleifsson, Universitat Bielefeld

Document Type

Article

Date

2-24-1997

Language

English

Disciplines

Physics

Description/Abstract

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.

Additional Information

7 pages, 2 EPS figures, LaTeX2e. Revised version accepted for publication on Europhys. Lett More information at http://arxiv.org/abs/cond-mat/9610007

Recommended Citation

Falcioni, Marco; Bowick, Mark; Guitter, Emmanuel; and Thorleifsson, Gudmar, "The Poisson ratio of crystalline surfaces" (1997). Physics - All Scholarship. 169.
https://surface.syr.edu/phy/169

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.