SCACCHI, A., ARCHER, A.J. and BRADER, J.M., 2017. Dynamical density functional theory analysis of the laning instability in sheared soft matter. Physical Review E, In Press.
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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AS is supported by the Swiss National Science Foundation under the grant number 200021-153657/2 and AJA by the EPSRC under the grant EP/P015689/1.