Averaging rheological quantities in descriptions of soft glassy materials

Details Averaging rheological quantities in descriptions of soft glassy materials Averaging rheological quantities in descriptions of soft glassy materials

2000-12-08

arxiv.org/abs/cond-mat/0012134v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, Latex, 1 eps figure

Scientific paper

10.1103/PhysRevE.63.030502

Many mean-field models have been introduced to describe the mechanical behavior of glassy materials. They often rely on averages performed over distributions of elements or states. We here underline that averaging is a more intricate procedure in mechanics than in more classical situations such as phase transitions in magnetic systems. This leads us to modify the predictions of the recently proposed SGR model for soft glassy materials, for which we suggest that the viscosity should diverge at the glass transition temperature $T_g$ with an exponential form $\eta \sim \exp(\frac{A}{T-T_g})$.

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