A hydrodynamic description of electron flow in a strong electric field

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Abstract
The authors derive a system of equations describing the space-time development of the density, velocity and energy of a stream of electrons flowing through a background medium in the presence of a strong electric field. The equations, which resemble the equations of normal compressible fluid dynamics, provide a convenient description of electron dynamics in situations where the space-time evolution is fast enough to lead to significant non-equilibrium effects.