Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2003-06-30
Phys. Rev. Lett. 92, 018102 (2004)
Physics
Condensed Matter
Soft Condensed Matter
Scientific paper
10.1103/PhysRevLett.92.018102
We identify a class of composite membranes: fluid bilayers coupled to an elastic meshwork, that are such that the meshwork's energy is a function $F_\mathrm{el}[A_\xi]$ \textit{not} of the real microscopic membrane area $A$, but of a \textit{smoothed} membrane's area $A_\xi$, which corresponds to the area of the membrane coarse-grained at the mesh size $\xi$. We show that the meshwork modifies the membrane tension $\sigma$ both below and above the scale $\xi$, inducing a tension-jump $\Delta\sigma=dF_\mathrm{el}/dA_\xi$. The predictions of our model account for the fluctuation spectrum of red blood cells membranes coupled to their cytoskeleton. Our results indicate that the cytoskeleton might be under extensional stress, which would provide a means to regulate available membrane area. We also predict an observable tension jump for membranes decorated with polymer "brushes".
Fournier Jean-Baptiste
Lacoste David
Raphael Elie
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