Accounting for inertia effects to access the high-frequency microrheology of viscoelastic fluids

Abstract

We study the Brownian motion of microbeads immersed in water and in a viscoelastic wormlike micelles solution by optical trapping interferometry and diffusing wave spectroscopy. Through the mean-square displacement obtained from both techniques, we deduce the mechanical properties of the fluids at high frequencies by explicitly accounting for inertia effects of the particle and the surrounding fluid at short time scales. For wormlike micelle solutions, we recover the 3/4 scaling exponent for the loss modulus over two decades in frequency as predicted by the theory for semiflexible polymers.

References in corpus (6)

• One- and two-particle microrheology
• Direct conversion of rheological compliance measurements into storage and loss moduli
• Brownian motion at short time scales
• Multi-speckle diffusing wave spectroscopy with a single mode detection scheme
• High-resolution detection of Brownian motion for quantitative Optical Tweezers experiments
• Short-time inertial response of viscoelastic fluids measured with Brownian motion and with active probes

Cited by in corpus (6)

• Drag Coefficient of a Rigid Spherical Particle in a Near-Critical Binary Fluid Mixture beyond the Regime of the Gaussian Model
• A Rheological Analogue for Brownian Motion with Hydrodynamic Memory
• Time-Response Functions of Fractional-Derivative Rheological Models
• Interplay between optical, viscous and elastic forces on an optically trapped Brownian particle immersed in a viscoelastic fluid
• Drag Coefficient of a Circular Inclusion in a Near-Critical Binary Fluid Membrane
• Expanding the reach of diffusing wave spectroscopy and tracer bead microrheology