Fluctuation pressure of a fluid membrane between walls through six loops

Abstract

The fluctuation pressure that an infinitely extended fluid membrane exerts on two enclosing parallel hard walls is computed. Variational perturbation theory is used to extract the hard-wall limit from a perturbative expansion through six loops obtained with a smooth wall potential. Our result alpha=0.0821+/-0.0005 for the constant conventionally parametrizing the pressure lies above earlier Monte Carlo results.

9 pages, 1 figure; section III shortened, discussion extended, some minor changes

References in corpus (2)

• Non-universal Critical Quantities from Variational Perturbation Theory and Their Application to the BEC Temperature Shift
• Fluctuation Pressure of a Membrane Between Walls Through Five Loops

Cited by in corpus (1)

• Interplay Between Approximation Theory and Renormalization Group