POLYMER BRUSH UNDER STRONG SHEAR

End-grafted polymer brush exposed to strong shear solvent flow is stud ied. Under strong enough shear flow, the shear force is nonlinear with the blob size depending on the shear force and not on the monomer vol ume fraction phi. We derive the crossover force scale separating the w eak and strong shear regime. The velocity profile of the flow, v(z), i nside and above the brush is calculated analytically by treating the f low as in a porous medium and solving the Brinkman equation. The solut ion of the velocity profile is then combined with nonequilibrium Monte Carlo simulation data, which allow a self-consistent determination of the chain end-to-end length and the incline angle of the chain. We de rive the scaling form for the chain positions x(n) for the nth monomer and verified by our simulation data. We further obtain analytical exp ression for x(n) in terms of the effective viscosity of the model.