Dynamical density functional theory analysis of the laning instability in sheared soft matter
: Scacchi, A.; Archer, A. J.; Brader, J. M.
Publisher: AMER PHYSICAL SOC
: COLLEGE PK
: 2017
: Physical review E
: PHYSICAL REVIEW E
: PHYS REV E
: 062616
: 96
: 6
: 8
: 2470-0045
: 2470-0053
DOI: https://doi.org/10.1103/PhysRevE.96.062616
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 nonaffine particle motion arising from interparticle interactions. Starting from a DDFT which incorporates the nonaffine 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.