Figure 2.

Spatial dependence of the static characteristics of the membrane for varying pinning stiffness λ. (a) The mean shape given by Eq. 22 and (b) the correlation function extracted from Eq. 33 show the same properties. The overshoots in the shape coincide with anticorrelations presented in the insets. Note that a more conventional parametrization of the mean shape in terms of height above the substrate is trivially obtained with $\langle h\left(\mathbf{r}\right)\rangle =h_0+\langle u\left(\mathbf{r}\right)\rangle$. Parameters: κ = 20 k_BT, σ = 10⁻²⁰k_BT/nm², γ = 3 × 10⁻⁷k_BT/nm⁴, and h₀ − l₀ = 1 nm. To see this figure in color, go online.