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Scaling and hydrodynamic effects in lamellar ordering

Aiguo Xu·G. Gonnella·A. Lamura·G. Amati·F. Massaioli
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Abstract

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 $C(\vec k, t) \sim L^α f[(k-k_M)L]$ 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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Aiguo Xu, G. Gonnella, A. Lamura, G. Amati, F. Massaioli. 2005-02-03. Scaling and hydrodynamic effects in lamellar ordering. https://doi.org/10.1209/epl%2Fi2005-10130-3

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