Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2008-10-23
Phys. Rev. E 78, 051919 (2008).
Physics
Condensed Matter
Soft Condensed Matter
Accepted for publication in Phys. Rev. E
Scientific paper
10.1103/PhysRevE.78.051919
We use analytical calculations and Monte Carlo simulations to determine the thermal fluctuation spectrum of a membrane patch of a few tens of nanometer in size, whose corners are located at a fixed distance $d$ above a plane rigid surface. Our analysis shows that the surface influence on the bilayer fluctuations can be effectively described in terms of a uniform confining potential that grows quadratically with the height of the membrane $h$ relative to the surface: $V=(1/2)\gamma h^2$. The strength $\gamma$ of the harmonic confining potential vanishes when the corners of the membrane patch are placed directly on the surface ($d=0$), and achieves its maximum value when $d$ is of the order of a few nanometers. However, even at maximum strength the confinement effect is quite small and has noticeable impact only on the amplitude of the largest bending mode.
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