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Two-dimensional fluctuating vesicles in linear shear flow.

R Finken1, A Lamura, U Seifert

  • 1II. Institut für Theoretische Physik, Universität Stuttgart, 70550 Stuttgart, Germany. finken@theo2.physik.uni-stuttgart.de

The European Physical Journal. E, Soft Matter
|April 10, 2008
PubMed
Summary
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We studied the movement of 2D vesicles in shear flow. Our findings reveal how perimeter constraints affect vesicle shape and motion, matching theoretical predictions with simulations.

Area of Science:

  • Soft matter physics
  • Fluid dynamics
  • Statistical mechanics

Background:

  • Vesicles are fundamental biological and synthetic structures.
  • Understanding their behavior in flow is crucial for cell mechanics and microfluidics.
  • The impact of constant perimeter on vesicle dynamics in shear flow is complex.

Purpose of the Study:

  • To investigate the stochastic motion of 2D vesicles in linear shear flow.
  • To derive and solve theoretical models for vesicle deformation under flow.
  • To validate theoretical predictions through numerical simulations.

Main Methods:

  • Derivation of nonlinear Langevin-type equations of motion for small deformations.
  • Analytical solutions in the low-temperature limit and via a mean-field approach.

Related Experiment Videos

  • Numerical simulations using multi-particle collision dynamics (MPCD) for hydrodynamic interactions.

    • Main Results:

    • The constant perimeter constraint introduces significant nonlinearities and correlations between deformation modes.
    • Theoretical models accurately predict vesicle behavior in both quasi-circular and larger deformation regimes.
    • Simulations show good agreement with theoretical predictions for deformation and autocorrelation functions.

    Conclusions:

    • The study provides a robust theoretical framework for vesicle dynamics in shear flow.
    • The findings highlight the importance of perimeter constraints in determining vesicle shape and motion.
    • The combination of theory and MPCD simulations offers a powerful approach for studying soft matter systems.