Publication : t96/110
The Poisson ratio of crystalline surfaces
Falcioni M. (Physics Department, Syracuse University, 201 Physics Building, Syracuse, NY 13244-1130, USA)Bowick M.J. (Physics Department, Syracuse University, 201 Physics Building, Syracuse, NY 13244-1130, USA)
Guitter E. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Thorleifsson G. (Fakultät für Physik, Universität Bielefeld P.O.Box 100131, D-33501 Bielefeld, GERMANY)
Abstract:Année de publication : 1997
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.
Revue : Europhys. Lett. 38 67-72 (1997)
DOI : 10.1209/epl/i1997-00525-0
Preprint : arXiv:cond-mat/9610007
PACS : 82.65Dp, 64.60-i, 87.22-q
Numéro Exterieur : SU-4240-649 ; BI-TP-96/46
Langue : Anglais
Fichier(s) à télécharger :
publi.pdf
