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Ordering of the lamellar phase under a shear flow

F. Corberi·G. Gonnella·A. Lamura
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Abstract

The dynamics of a system quenched into a state with lamellar order and subject to an uniform shear flow is solved in the large-N limit. The description is based on the Brazovskii free-energy and the evolution follows a convection-diffusion equation. Lamellae order preferentially with the normal along the vorticity direction. Typical lengths grow as $γt^{5/4}$ (with logarithmic corrections) in the flow direction and logarithmically in the shear direction. Dynamical scaling holds in the two-dimensional case while it is violated in D=3.

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F. Corberi, G. Gonnella, A. Lamura. 2002-10-08. Ordering of the lamellar phase under a shear flow. https://doi.org/10.1103/physreve.66.016114

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