Fluctuation pressure of a fluid membrane between walls through six loops

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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

Scientific paper

10.1103/PhysRevE.73.011101

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.

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