Bulk viscous electron flow has positive magnetoresistance for arbitrary inhomogeneity in one-dimensional periodic models and in weakly inhomogeneous ballistic-to-hydrodynamic crossover calculations, unlike narrow channels.
Kinetic theory of electronic transport in random magnetic fields
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abstract
We present the theory of quasiparticle transport in perturbatively small inhomogeneous magnetic fields across the ballistic-to-hydrodynamic crossover. In the hydrodynamic limit, the resistivity $\rho$ generically grows proportionally to the rate of momentum-conserving electron-electron collisions at large enough temperatures $T$. In particular, the resulting flow of electrons provides a simple scenario where viscous effects suppress conductance below the ballistic value. This new mechanism for $\rho\propto T^2$ resistivity in a Fermi liquid may describe low $T$ transport in single-band $\mathrm{SrTiO}_3$.
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Sign of viscous magnetoresistance in electron fluids
Bulk viscous electron flow has positive magnetoresistance for arbitrary inhomogeneity in one-dimensional periodic models and in weakly inhomogeneous ballistic-to-hydrodynamic crossover calculations, unlike narrow channels.