We investigate the electron-hole two-stream instability (or Coulomb drag) in bilayer graphene in the hydrodynamic regime, accounting for the effects of temperature, initial drift velocity, magnetic field, and collisions. We put in evidence a purely electrostatic mechanism leading to current relaxation, giving rise to a well-defined dc longitudinal conductivity $\propto T^{3/2}$. Due to competition between electrostatic and collisional processes, two distinct transport regimes are identified. An analysis on the Hall conductivity revealed that the two-stream instability effects also correct the most recent results obtained within the linear response theory.

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• Electrical conductivity
• Electrical properties
• Plasma instabilities
• Bilayer graphene
• Numerical techniques
• Two-fluid & multi-fluid model