TL;DR
This paper analytically derives the proportionality constant for the pressure exerted by a fluctuating membrane between walls, confirming results with Monte Carlo simulations and enhancing understanding of membrane-wall interactions.
Contribution
It provides an analytical calculation of the pressure law constant for a fluctuating membrane, validated by Monte Carlo simulations.
Findings
Analytical expression for pressure constant p proportional to T^2/kappa^2 d^3.
Good agreement between analytical results and Monte Carlo simulations.
Enhanced understanding of membrane fluctuation-induced pressure.
Abstract
For a single membrane of stiffness kappa fluctuating between two planar walls of distance d, we calculate analytically the proportionality constant in the pressure law p proportional to T^2/kappa^2 d^3, in very good agreement with results from Monte Carlo simulations.
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