J. Phys. I France
Volume 1, Numéro 10, October 1991
Page(s) 1411 - 1432
DOI: 10.1051/jp1:1991211
J. Phys. I France 1 (1991) 1411-1432

Fluctuations of a polymerized membrane between walls

G. Gompper1 and D.M. Kroll2

1  Sektion Physik der Ludwig-Maximilians-Universität München, Theresienstr. 37, 8000 München 2, Germany
2  AHPCRC, University of Minnesota, 1100 Washington Avenue South, Minneapolis, MN 55414, U.S.A.

(Received 3 June 1991, accepted 3 July 1991)

The fluctuations of a self-avoiding, polymerized (or tethered) membrane which is restricted by the presence of two parallel hard walls are studied using Monte Carlo simulations and scaling arguments. The scaling behavior of the area, the pressure, the normal vector susceptibility, as well as the mean curvature susceptibility are investigated. We calculate the scaling functions and show that the critical behavior follows the predicted scaling laws with an exponent $\eta=0.55\pm 0.10$.

© Les Editions de Physique 1991