Shear Thinning of a Critical Viscoelastic Fluid

Details Shear Thinning of a Critical Viscoelastic Fluid Shear Thinning of a Critical Viscoelastic Fluid

2004-05-27

arxiv.org/abs/cond-mat/0405630v1

Physics

Condensed Matter

Statistical Mechanics

One file in plain latex format and no figure. Submitte to Physical Review E

Scientific paper

10.1103/PhysRevE.71.036145

The frequency and shear dependent critical viscosity at a correlation length $\xi=\kappa^{-1}$, has the form $\eta=\eta_{0}\kappa^{-x_{\eta}}G(z_{1},z_{2})$, where $z_{1}$ and $z_{2}$ are the independent dimensionless numbers in the problem defined as $z_{1}=\frac{-i\omega}{2\Gamma_{0}\kappa^{3}}$ and $z_{2}=\frac{-i\omega}{2\Gamma_{0}\kappa_{c}^{3}}$. The decay rate of critical fluctuations of correlation length $\kappa^{-1}$ is $\Gamma_{0}\kappa^{3}$ and $k_{c}$ is the effective wave number for which $\Gamma_{0}k_{c}^{3}=S$, the shear rate. The function $G(z_{1},z_{2})$ is calculated in a one loop self-consistent theory.

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