J. Phys. France
Volume 51, Numéro 11, juin 1990
Page(s) 1055 - 1060
J. Phys. France 51, 1055-1060 (1990)
DOI: 10.1051/jphys:0199000510110105500

Stretching and buckling of polymerized membranes: a Monte Carlo study

E. Guitter1, 2, S. Leibler1, A.C. Maggs3 et F. David1

1  Service de Physique Théorique de Saclay, F-91191 Gif sur Yvette Cedex, France
2  Engineering Department, University of California, Santa Barbara, CA 93106, U.S.A.
3  Institut Laue-Langevin, F-38024 Grenoble Cedex, France

We study polymerized (elastic) membranes fluctuating under constrained boundary conditions. We show that the low-temperature, "flat" phase is not described by the classical theory of elasticity. Thermal fluctuations induce important modifications to mechanical laws such as Hooke's law. We study the approach to the buckled state of membranes, verify the finite-size scaling relations and measure related critical exponents. In the presence of thermal fluctuations the buckled state is qualitatively different from its classical counterpart.

8239W - Ion exchange, dialysis, osmosis, electro-osmosis, membrane processes.
6860 - Physical properties of thin films, nonelectronic.

Key words
buckling -- critical phenomena -- elongation -- fluctuations -- membranes -- Monte Carlo methods -- polymer films