Dynamics of nearly spherical vesicles in an external flow

Details Dynamics of nearly spherical vesicles in an external flow Dynamics of nearly spherical vesicles in an external flow

2007-02-27

arxiv.org/abs/cond-mat/0702650v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.99.218101

We analytically derive an equation describing vesicle evolution in a fluid where some stationary flow is excited regarding that the vesicle shape is close to a sphere. A character of the evolution is governed by two dimensionless parameters, $S$ and $\Lambda$, depending on the vesicle excess area, viscosity contrast, membrane viscosity, strength of the flow, bending module, and ratio of the elongation and rotation components of the flow. We establish the ``phase diagram'' of the system on the $S-\Lambda$ plane: we find curves corresponding to the tank-treading to tumbling transition (described by the saddle-node bifurcation) and to the tank-treading to trembling transition (described by the Hopf bifurcation).

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