Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2007-05-24
Physics
Condensed Matter
Soft Condensed Matter
20 pages, 5 figures
Scientific paper
Tank-treading, tumbling and trembling are different types of the vesicle behavior in an external flow. We derive a dynamical equation for nearly spherical vesicles enabling to establish a phase diagram of the system predicting the regimes. The diagram is drawn in terms of two dimensionless parameters depending on the vesicle excess area, fluid viscosities, membrane viscosity and bending modulus, strength of the flow, and ratio of the elongational and rotational components of the flow. The tank-treading to tumbling transition occurs via a saddle-node bifurcation whereas the tank-treading to trembling transition occurs via a Hopf bifurcation. We establish a critical slowing near the merging point of the transition lines.
Lebedev Vladimir
Turitsyn Konstantin S.
Vergeles Sergey S.
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