Scaling behavior of self-avoiding tethered vesicles

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Abstract
The scaling behavior of self-avoiding tethered vesicles is analyzed using shell theory and scaling arguments. For closed networks, there is a linear coupling between the out-of-plane undulation modes and the in-plane phonon modes that causes a strong suppression of out-of-plane fluctuations at long length scales. This leads to new scaling behavior, which has important consequences for the analysis of experimental and simulation data. Molecular-dynamics simulation data for tethered vesicles are also presented and analyzed using these results. We find that the exponent η, which describes the scale dependence of the bending rigidity, has the value η=0.81±0.03.