English

Anomalous lateral diffusion in a viscous membrane surrounded by viscoelastic media

Soft Condensed Matter 2015-06-04 v1

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.

Keywords

Cite

@article{arxiv.1202.3912,
  title  = {Anomalous lateral diffusion in a viscous membrane surrounded by viscoelastic media},
  author = {S. Komura and S. Ramachandran and K. Seki},
  journal= {arXiv preprint arXiv:1202.3912},
  year   = {2015}
}

Comments

6 pages, 2 figures

R2 v1 2026-06-21T20:21:07.267Z