Strong-Coupling Calculation of Fluctuation Pressure of a Membrane Between Walls

TL;DR

This paper analytically calculates the fluctuation pressure of a membrane between walls using strong-coupling variational perturbation theory, achieving results consistent with Monte Carlo simulations.

Contribution

It introduces a novel analytical approach to determine the pressure constant of a membrane, extending variational perturbation theory to third order for improved accuracy.

Findings

Pressure constant alpha=0.0797149

Results agree with Monte Carlo data within error bounds

Method provides a new analytical tool for membrane fluctuation analysis

Abstract

We calculate analytically the proportionality constant in the pressure law of a membrane between parallel walls from the strong-coupling limit of variational perturbation theory up to third order. Extrapolating the zeroth to third approximations to infinity yields the pressure constant alpha=0.0797149. This result lies well within the error bounds of the most accurate available Monte-Carlo result 0.0798 +- 0.0003.