Fluctuations of a polymerized membrane between walls

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 η=0.55±0.10.