Ordering of the lamellar phase under a shear flow

Details Ordering of the lamellar phase under a shear flow Ordering of the lamellar phase under a shear flow

2002-10-08

arxiv.org/abs/cond-mat/0210159v1

Phys. Rev. E 66, 016114 (2002)

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

10.1103/PhysRevE.66.016114

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 $\gamma t^{5/4}$ (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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