Fluctuation Pressure of a Membrane Between Walls Through Five Loops

Details Fluctuation Pressure of a Membrane Between Walls Through Five Loops Fluctuation Pressure of a Membrane Between Walls Through Five Loops

2002-05-03

arxiv.org/abs/cond-mat/0205073v2

Phys. Rev. E 66, 061102 (2002)

Physics

Condensed Matter

Statistical Mechanics

18 pages, 3 figures, typos in references fixed

Scientific paper

10.1103/PhysRevE.66.061102

An earlier four-loop calculation of the fluctuation pressure of a fluid membrane between two infinite walls is extended to five loops. Variational perturbation theory is used to extract the hard-wall limit from perturbative results obtained with a smooth potential. Comparison with a structurally similar quantum mechanics problem of a particle in a box is used for an alternative way of extracting the membrane pressure and also to estimate the quality of the results. Our values lie above the best available Monte Carlo data.

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