Fluctuation pressure of a stack of membranes - art. no. 051709

We calculate the universal constants in Helfrich's pressure law for a stack of N membranes between walls by strong-coupling theory. Using the close an alogy between this system and a stack of strings, where the universal const ants are exactly known, we construct a smooth potential that keeps the memb ranes apart. The strong-coupling limit of the perturbative treatment of the free energy yields pressure constants for an arbitrary number of membranes , which are in very good agreement with values from Monte Carlo simulations .