Direct conversion of rheological compliance measurements into storage and loss moduli

Details Direct conversion of rheological compliance measurements into storage and loss moduli Direct conversion of rheological compliance measurements into storage and loss moduli

2008-12-12

arxiv.org/abs/0812.2391v1

Phys. Rev. E 80, 012501 (2009).

Physics

Condensed Matter

Soft Condensed Matter

4 pages

Scientific paper

10.1103/PhysRevE.80.012501

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.

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