Dynamic fluctuation phenomena in double membrane films

  • E. I. Kats
  • V. V. Lebedev
  • S. V. Malinin
Fluids

Abstract

Dynamics of double membrane films is investigated in the long-wavelength limit qh≪1 (q is the wave vector, and h is the thickness of the film) including the overdamped squeezing mode. We demonstrate that thermal fluctuations essentially modify the character of the mode due to its nonlinear coupling to the transverse shear hydrodynamic mode. The renormalization can be analyzed if the condition g≪1 is satisfied (where gT/κ, T is the temperature, and κ is the bending modulus). The corresponding Green’s function acquires as a function of the frequency ω a cut along the imaginary semiaxis. At \(qh > \sqrt g \)the effective length of the cut is ∼Tq3/η (where η is the shear viscosity of the liquid). At \(qh > \sqrt g \)the fluctuations lead to an increase in the attenuation of the squeezing mode: it is larger than the ‘bare’ value by a factor \(1/\sqrt g \). We also present the analysis of the elastic modes.

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Copyright information

© American Institute of Physics 1998

Authors and Affiliations

  • E. I. Kats
    • 1
  • V. V. Lebedev
    • 2
  • S. V. Malinin
    • 3
  1. 1.Max-Planck Institute for Physics of Complex SystemsDresdenGermany
  2. 2.Department of PhysicsWeizmann Institute of ScienceRehovotIsrael
  3. 3.L. D. Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia

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