  For a system of Brownian particles interacting via a soft exponential
potential we investigate the interaction between equilibrium crystallization
and spatially varying shear flow. For thermodynamic state points within the
liquid part of the phase diagram, but close to the crystallization phase
boundary, we observe that imposing a Poiseuille flow can induce nonequilibrium
crystalline ordering in regions of low shear gradient. The physical mechanism
responsible for this phenomenon is shear induced particle migration, which
causes particles to drift preferentially towards the center of the flow
channel, thus increasing the local density in the channel center. The method
employed is classical dynamical density functional theory.
