Europhys. Lett.
Volume 71, Number 4, August 2005
Page(s) 651 - 657
Section Condensed matter: structural, mechanical and thermal properties
Published online 20 July 2005
Europhys. Lett., 71 (4), pp. 651-657 (2005)
DOI: 10.1209/epl/i2005-10130-3

Scaling and hydrodynamic effects in lamellar ordering

Aiguo Xu1, G. Gonnella1, A. Lamura2, G. Amati3 and F. Massaioli3

1  Dipartimento di Fisica, Università di Bari and Center of Innovative Technologies for Signal Detection and Processing (TIRES) and INFN, Sezione di Bari and INFM via Amendola 173, 70126 Bari, Italy
2  Istituto Applicazioni Calcolo, CNR, Sezione di Bari via Amendola 122/D, 70126 Bari, Italy
3  CASPUR - via dei Tizii 6/b, 00185 Roma, Italy

received 7 February 2005; accepted in final form 23 June 2005
published online 20 July 2005

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 $C(\bm{k},t)\sim{L^{\alpha}f[(k-k_M)L]}$, where C is the structure factor with maximum at kM and L is a typical length with 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.

64.75.+g - Solubility, segregation, and mixing; phase separation.
05.70.Ln - Nonequilibrium and irreversible thermodynamics.
47.20.Hw - Morphological instability; phase changes.

© EDP Sciences 2005