English

Scaling and hydrodynamic effects in lamellar ordering

Soft Condensed Matter 2016-08-31 v2 Statistical Mechanics

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(k,t)Lαf[(kkM)L]C(\vec k, t) \sim L^{\alpha} f[(k-k_M)L] where CC is the structure factor with maximum at kMk_M and LL is a typical length changing from power law to logarithmic growth at late times. The presence of extended defects can explain the behavior of LL. 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.

Keywords

Cite

@article{arxiv.cond-mat/0404205,
  title  = {Scaling and hydrodynamic effects in lamellar ordering},
  author = {Aiguo Xu and G. Gonnella and A. Lamura and G. Amati and F. Massaioli},
  journal= {arXiv preprint arXiv:cond-mat/0404205},
  year   = {2016}
}

Comments

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

R2 v1 2026-07-22T11:01:58.106Z