English

Ordering of the lamellar phase under a shear flow

Soft Condensed Matter 2009-11-07 v1

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 γt5/4\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.

Keywords

Cite

@article{arxiv.cond-mat/0210159,
  title  = {Ordering of the lamellar phase under a shear flow},
  author = {F. Corberi and G. Gonnella and A. Lamura},
  journal= {arXiv preprint arXiv:cond-mat/0210159},
  year   = {2009}
}