S. Komura, S. Ramachandran, K. Seki
We investigate the lateral dynamics in a purely viscous lipid membrane
surrounded by viscoelastic media such as polymeric solutions. We first obtain
the generalized frequency-dependent mobility tensor and focus on the case when
the solvent is sandwiched by hard walls. Due to the viscoelasticity of the
solvent, the mean square displacement of a disk embedded in the membrane
exhibits an anomalous diffusion. An useful relation which connects the mean
square displacement and the solvent modulus is provided. We also calculate the
cross-correlation of the particle displacements which can be applied for
two-particle tracking experiments.
View original:
http://arxiv.org/abs/1202.3912
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