Nonequilibrium fluctuations of an interface under shear

Abstract

The steady state properties of an interface in a stationary Couette flow are addressed within the framework of fluctuating hydrodynamics. Our study reveals that thermal fluctuations are driven out of equilibrium by an effective shear rate that differs from the applied one. In agreement with experiments, we find that the mean square displacement of the interface is strongly reduced by the flow. We also show that nonequilibrium fluctuations present a certain degree of universality in the sense that all features of the fluids can be factorized into a single control parameter. Finally, the results are discussed in the light of recent experimental and numerical studies.

14 pages, 4 figures

References in corpus (8)

• Fluctuation Theorems
• Spatio-temporal dynamics of wormlike micelles under shear
• Thermal noise influences fluid flow in thin films during spinodal dewetting
• Hindered mobility of a particle near a soft interface
• Extended Fluctuation-Dissipation Theorem for Soft Matter in Stationary Flow
• Invariant quantities in shear flow
• Interfaces in driven Ising models: shear enhances confinement
• The ideas behind the Self Consistent Expansion

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