JETP Letters

, Volume 103, Issue 3, pp 201–205 | Cite as

Nonlinear generation of vorticity in thin smectic films

  • V. M. ParfenyevEmail author
  • S. S. Vergeles
  • V. V. Lebedev
Nonlinear Phenomena


We analyze a solenoidal motion in a vertically vibrated freely suspended thin smectic film. We demonstrate analytically that transverse oscillations of the film generate two-dimensional vortices in the plane of the film owing to hydrodynamic nonlinearity. An explicit expression for the vorticity of the in-plane film motion in terms of the film displacement is obtained. The air around the film is proven to play a crucial role, since it changes the dispersion relation of transverse oscillations and transmits viscous stresses to the film, modifying its bending motion. We propose possible experimental observations enabling to check our predictions.


Vorticity JETP Letter Nonlinear Generation Soap Film Transverse Oscillation 
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Copyright information

© Pleiades Publishing, Inc. 2016

Authors and Affiliations

  • V. M. Parfenyev
    • 1
    Email author
  • S. S. Vergeles
    • 1
  • V. V. Lebedev
    • 1
  1. 1.Landau Institute for Theoretical PhysicsRussian Academy of SciencesChernogolovka, Moscow regionRussia

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