Dynamical density functional theory analysis of the laning instability in sheared soft matter

Abstract

Using dynamical density functional theory (DDFT) methods we investigate the laning instability of a sheared colloidal suspension. The nonequilibrium ordering at the laning transition is driven by non-affine particle motion arising from interparticle interactions. Starting from a DDFT which incorporates the non-affine motion, we perform a linear stability analysis that enables identification of the regions of parameter space where lanes form. We illustrate our general approach by applying it to a simple one-component fluid of soft penetrable particles.

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• Self-assembly of binary solutions to complex structures
• Stochastic Density Functional Theory on Lane Formation in Electric-Field-Driven Ionic Mixtures: Flow-Kernel-Based Formulation
• Length-scales in sheared soft matter depend sensitively on molecular interactions
• Dynamic Density Functional Theory with Inertia and Background Flow