Two-Dimensional Fluctuating Vesicles in Linear Shear Flow

Details Two-Dimensional Fluctuating Vesicles in Linear Shear Flow Two-Dimensional Fluctuating Vesicles in Linear Shear Flow

2007-09-17

arxiv.org/abs/0709.2669v1

Eur. Phys. J. E 25, 309 (2008)

Physics

Condensed Matter

Soft Condensed Matter

13 pages, 7 figures

Scientific paper

10.1140/epje/i2007-10299-7

The stochastic motion of a two-dimensional vesicle in linear shear flow is studied at finite temperature. In the limit of small deformations from a circle, Langevin-type equations of motion are derived, which are highly nonlinear due to the constraint of constant perimeter length. These equations are solved in the low temperature limit and using a mean field approach, in which the length constraint is satisfied only on average. The constraint imposes non-trivial correlations between the lowest deformation modes at low temperature. We also simulate a vesicle in a hydrodynamic solvent by using the multi-particle collision dynamics technique, both in the quasi-circular regime and for larger deformations, and compare the stationary deformation correlation functions and the time autocorrelation functions with theoretical predictions. Good agreement between theory and simulations is obtained.

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