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  • 05.40+j  (1)
  • PACS. 47.15.Gf Low-Reynolds-number (creeping) flows - 68.15.+e Liquid thin films - 82.70.-y Disperse systems  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 8 (1999), S. 405-415 
    ISSN: 1434-6036
    Keywords: PACS. 47.15.Gf Low-Reynolds-number (creeping) flows - 68.15.+e Liquid thin films - 82.70.-y Disperse systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: The dynamics of a single fluid bilayer membrane in an external hydrodynamic flow field is considered. The deterministic equation of motion for the configuration is derived taking into account both viscous dissipation in the surrounding liquid and local incompressibility of the membrane. For quasi-spherical vesicles in shear flow, thermal fluctuations can be incorporated in a Langevin-type equation of motion for the deformation amplitudes. The solution to this equation shows an overdamped oscillatory approach to a stationary tanktreading shape. Inclination angle and ellipticity of the contour are determined as a function of excess area and shear rate. Comparisons to numerical results and experiments are discussed.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 97 (1995), S. 299-309 
    ISSN: 1434-6036
    Keywords: 05.40+j ; 82.70-y
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Vesicles are closed surfaces of bilayer membranes. Their mean shapes and fluctuations are governed by the competition of curvature energy and geometrical constraints on the enclosed volume and total surface area. A scheme to calculate these fluctuations to lowest order in the ratio of temperature to bending rigidity is developed. It is shown that for fluctuations that break a symmetry of the mean shape the area constraint indeed acts like a tension whose value is given by the Lagrange multiplier used to enforce the area constraint in the first place. As a consequence, these fluctuations are also insensitive to the specific variants of the curvature model. For fluctuations that preserve the symmetry of the mean shape the role of the area constraint is more subtle. The low temperature expansion breaks down in the spherical limit where with the excess area another small parameter enters. By incorporating the area constraint in this limit exactly, the validity of the conventional approach using an effective tension for fluctuations of quasi-spherical vesicles can be assessed.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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