The Poisson ratio of crystalline surfaces
Department of Physics, Syracuse University - Syracuse, NY 13244-1130, USA
2 CEA-Saclay, Service de Physique Théorique - F-91191 Gif-sur-Yvette Cedex, France
3 Fakultät für Physik, Universität Bielefeld - D-33615 Bielefeld, Germany
Accepted: 22 February 1997
A remarkable theoretical prediction for a crystalline (polymerized) surface is that its Poisson ratio 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 on a lattice at bending rigidity . This is in excellent agreement with the prediction following from the self-consistent screening approximation of Le Doussal and Radzihovsky.
PACS: 82.65.Dp – Thermodynamics of surfaces and interfaces / 64.60.-i – General studies of phase transitions / 87.22.-q – Physics of cellular and physiological processes
© EDP Sciences, 1997