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J. J. Duffy, C.A Rega, R Jack, S Amin
An algebraic approach for determining viscoelastic moduli from creep compliance through application of the Generalised Stokes-Einstein relation and Burgers model
Appl. Rheol. 26:1 (2016) 15130 (6 pages)
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DLS Microrheology involves tracking the time dependent motion or mean square displacement of dispersed tracer particles
of known size using Dynamic Light Scattering (DLS) in order to determine viscoelastic properties of the dispersion medium.
The viscoelastic moduli are calculated using a generalised form of the Stokes-Einstein equation which requires Fourier
Transformation of the MSD. An alternative approach for estimating the viscoelastic moduli uses a modified algebraic form of
the generalized Stokes-Einstein equation, which employs a power law expression to describe the local change in MSD with
time. Since the mean square displacement is linearly related to the creep compliance, it can be shown that the same algebraic
approach can also be applied to creep measurements made on a rotational rheometer, giving access to the low frequency
moduli in a fraction of the time required for oscillatory testing. Furthermore, the quality of the conversion process can be
improved by fitting a Burgers model to the time domain data prior to conversion thus minimising errors associated with local
differentiation, which is fundamental to the conversion approach.
► Cite this publication as follows:
Duffy JJ, Rega C, Jack R, Amin S: An algebraic approach for determining viscoelastic moduli from creep compliance through application of the Generalised Stokes-Einstein relation and Burgers model, Appl. Rheol. 26 (2016) 15130.
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