Phase-ordering dynamics of binary mixtures with field-dependent mobility in shear flow

TL;DR

This paper investigates how shear flow influences the phase-ordering process in binary mixtures with field-dependent mobility, revealing oscillatory behaviors due to domain stretching and break-up mechanisms.

Contribution

It provides an analytical study of the asymptotic behavior of phase-ordering under shear flow using a self-consistent approximation and scaling ansatz.

Findings

Observes log-time periodic oscillations in observables

Identifies cyclical stretching and break-up of domains

Shows oscillations diminish as mobility vanishes in bulk

Abstract

The effect of shear flow on the phase-ordering dynamics of a binary mixture with field-dependent mobility is investigated. The problem is addressed in the context of the time-dependent Ginzburg-Landau equation with an external velocity term, studied in self-consistent approximation. Assuming a scaling ansatz for the structure factor, the asymptotic behavior of the observables in the scaling regime can be analytically calculated. All the observables show log-time periodic oscillations which we interpret as due to a cyclical mechanism of stretching and break-up of domains. These oscillations are dumped as consequence of the vanishing of the mobility in the bulk phase.