# Scaling and hydrodynamic effects in lamellar ordering

Source: [Scaling and hydrodynamic effects in lamellar ordering](<https://www.sota2.com/research/paper/68fa343b1e209131ce896f75>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T20:31:20.587Z

Authors: Aiguo Xu, G. Gonnella, A. Lamura, G. Amati, F. Massaioli

Published: 2004-04-08T14:03:24.000Z

## 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(\\vec k, t) \\sim L^{\\alpha} f\[(k-k\_M)L\]$ where $C$ is the structure factor with maximum at $k\_M$ and  $L$ is a typical length changing from power law to 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0404205>)

[PDF](<https://arxiv.org/pdf/cond-mat/0404205.pdf>)