Scaling and hydrodynamic effects in lamellar ordering

Details Scaling and hydrodynamic effects in lamellar ordering Scaling and hydrodynamic effects in lamellar ordering

2004-04-08

arxiv.org/abs/cond-mat/0404205v2

Physics

Condensed Matter

Soft Condensed Matter

text in EPL format; figures 1-6 in jpg format

Scientific paper

10.1209/epl/i2005-10130-3

We study the kinetics of domain growth of fluid mixtures quenched from a disordered to a lamellar phase. At low viscosities, in two dimensions, when hydrodynamic modes become important, dynamical scaling is verified in the form $C(\vec k, t) \sim L^{\alpha} f[(k-k_M)L]$ where $C$ is the structure factor with maximum at $k_M$ and $L$ is a typical length changing from power law to logarithmic growth at late times. The presence of extended defects can explain the behavior of $L$. Three-dimensional simulations confirm that diffuse grain boundaries inhibit complete ordering of lamellae. Applied shear flow alleviates frustration and gives power-law growth at all times.

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