Fluctuation pressure of a fluid membrane between walls through six loops

TL;DR

This paper calculates the fluctuation pressure exerted by an infinite fluid membrane between two walls using advanced perturbation theory, providing a precise value that exceeds previous Monte Carlo estimates.

Contribution

It introduces a six-loop variational perturbation approach to accurately determine membrane fluctuation pressure in the hard-wall limit.

Findings

Calculated pressure constant alpha=0.0821±0.0005

Result exceeds earlier Monte Carlo estimates

Demonstrates effectiveness of six-loop variational perturbation theory

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.