The Effect of Shear on Phase-Ordering Dynamics with Order-Parameter-Dependent Mobility: The Large-n Limit

Abstract

The effect of shear on the ordering-kinetics of a conserved order-parameter system with O(n) symmetry and order-parameter-dependent mobility Γ({\vecϕ}) \propto (1- {\vecϕ} ^2/n)^αis studied analytically within the large-n limit. In the late stage, the structure factor becomes anisotropic and exhibits multiscaling behavior with characteristic length scales (t^{2α+5}/\ln t)^{1/2(α+2)} in the flow direction and (t/\ln t)^{1/2(α+2)} in directions perpendicular to the flow. As in the α=0 case, the structure factor in the shear-flow plane has two parallel ridges.

6 pages, 2 figures

References in corpus (1)

• Phase Separation under Shear in Two-dimensional Binary Fluids

Cited by in corpus (4)

• Phase separation in an homogeneous shear flow: Morphology, growth laws and dynamic scaling
• Critical behaviour of a fluid in a random shear flow: Renormalization group analysis of a simplified model
• Bridging length and time scales in sheared demixing systems: from the Cahn-Hilliard to the Doi-Ohta model
• Sheared phase-separating binary mixtures with surface diffusion