Anomalous lateral diffusion in a viscous membrane surrounded by viscoelastic media

Abstract

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.

6 pages, 2 figures

References in corpus (3)

• Correlated dynamics of inclusions in a supported membrane
• Effects of an embedding bulk fluid on phase separation dynamics in a thin liquid film
• Diffusion coefficient of an inclusion in a liquid membrane supported by a solvent of arbitrary thickness

Cited by in corpus (9)

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• Relaxation dynamics of a compressible bilayer vesicle containing highly viscous fluid
• Many-particle mobility and diffusion tensors for objects in viscous sheets
• Swimmer-microrheology
• Three-disk microswimmer in a supported fluid membrane
• Persistent Collective Motion of a Dispersing Membrane Domain
• Surface response of a polymer network: Semi-infinite network
• Dynamics of a membrane interacting with an active wall
• Thermal and active fluctuations of a compressible bilayer vesicle