A non parabolic hydrodynamical subband model for semiconductors based on the maximum entropy principle

作者：Mascali Giovanni; Romano Vittorio^*

来源：Mathematical and Computer Modelling, 2012, 55(3-4): 1003-1020.

DOI：10.1016/j.mcm.2011.09.026

• Quantum transport
• Semiconductors
• Hydrodynamical models

A hydrodynamic subband model for semiconductors is formulated by closing the moment system derived from the Schrodinger-Poisson-Boltzmann equations on the basis of the maximum entropy principle, by taking into account non parabolic energy bands of Kane%26apos;s type. Explicit closure relations for fluxes and production terms are obtained, including scattering of electrons with acoustic and non polar optical phonons and surface scattering. Numerical simulations of a quantum diode show the feasibility of the model. The importance of the non parabolicity is assessed.

• 出版日期2012-2