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• W2045537614 abstract "Tank-treading, tumbling, and trembling are different types of the vesicle behavior in an external flow. We derive a dynamical equation enabling us to establish a state of nearly spherical vesicles. For a 2D external flow, the character of the vesicle dynamics is determined by 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. A slowdown of vesicle dynamics should be observed in a vicinity of a point separating the transition lines. We show that the slowdown can be described by a power law with two different critical exponents 1/4 and 1/2 corresponding to the slowdown of tumbling and trembling cycles." @default.
• W2045537614 created "2016-06-24" @default.
• W2045537614 creator A5005404492 @default.
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• W2045537614 date "2007-11-20" @default.
• W2045537614 modified "2023-10-16" @default.
• W2045537614 title "Dynamics of Nearly Spherical Vesicles in an External Flow" @default.
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• W2045537614 doi "https://doi.org/10.1103/physrevlett.99.218101" @default.
• W2045537614 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/18233260" @default.
• W2045537614 hasPublicationYear "2007" @default.
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