Dynamic Fluctuation Phenomena in Double Membrane Films
E. I. Kats, V. V. Lebedev, S. V. Malinin
TL;DR
This paper investigates how thermal fluctuations influence the dynamics of double membrane films, revealing nonlinear coupling effects and increased attenuation of the squeezing mode in the long-wavelength limit.
Contribution
It introduces a detailed analysis of fluctuation effects on membrane film dynamics, highlighting the nonlinear coupling and modifications to the Green function.
Findings
Thermal fluctuations significantly modify the squeezing mode.
The Green function exhibits a cut along the imaginary semi-axis.
Fluctuations increase the attenuation of the mode.
Abstract
Dynamics of double membrane films is investigated in the long-wavelength limit including the overdamped squeezing mode. We demonstrate that thermal fluctuations essentially modify the character of the mode due to its nonlinear coupling to the transversal shear hydrodynamic mode. The corresponding Green function acquires as a function of the frequency a cut along the imaginary semi-axis. Fluctuations lead to increasing the attenuation of the squeezing mode it becomes larger than the `bare' value.
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