Direct conversion of rheological compliance measurements into storage and loss moduli.
We remove the need for Laplace/inverse-Laplace transformations of experimental data, by presenting a direct and straightforward mathematical procedure for obtaining frequency-dependent storage and loss moduli [G'(omega) and G''(omega), respectively], from time-dependent experimental measurements. The procedure is applicable to ordinary rheological creep (stress-step) measurements, as well as all microrheological techniques, whether they access a Brownian mean-square displacement, or a forced compliance. Data can be substituted directly into our simple formula, thus eliminating traditional fitting and smoothing procedures that disguise relevant experimental noise.
Evans
R M L
RM
School of Physics and Astronomy, University of Leeds, Leeds LS2 9JT, United Kingdom. mike.evans@physics.org
Tassieri
Manlio
M
Auhl
Dietmar
D
Waigh
Thomas A
TA