We develop an analytical theoretical model for nonlinear hydrodynamic magnetotransport of two-dimensional (2D) electron fluids with strong pair correlations in electron dynamics. Within the classical kinetics of 2D electrons, such correlations are described as subsequent “extended” collisions of the same electrons, temporarily joined in pairs. Corresponding correlation-induced retarded terms in the fluid dynamic equations can be described for slow flows as the dependence of the electron fluid viscosity on the flow velocity gradient, that is, a non-Newtonian behavior of the fluid. We analytically calculate flow profiles in long samples in a stationary highly nonlinear regime and the corresponding magnetoresistance. Pair correlations lead to a characteristic nonmonotonic dependence of the differential resistance on the magnetic field. We compare our results with experimental data on nonlinear magnetotransport of high-purity GaAs quantum wells; we conclude that our model can be responsible for some of the observed features of the differential magnetoresistance.

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• Electrical properties
• Interparticle interactions
• Magnetotransport
• Nanostructures
• Non-Newtonian fluids
• Two-dimensional electron system
• Viscosity