## Abstract

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) γ h2. The strength γ 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 a noticeable impact only on the amplitude of the largest bending mode.

Original language | English |
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Article number | 051919 |

Journal | Physical Review E |

Volume | 78 |

Issue number | 5 |

DOIs | |

State | Published - 20 Nov 2008 |

## ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics