We derive a quantum hydrodynamic model from a relaxation time approximation of the quantum Boltzmann equation by mean-free path asymptotics. The (formal) asymptotics are carried out in the case of a large electric field. They give a linear model for the position, current and energy densities of the electron gas.
- Moment hierarchy
- Quantum Boltzmann equation
- Small mean free path asymptotics
ASJC Scopus subject areas
- Applied Mathematics