Nonlocal hydrodynamic description of transfer phenomena in semiconductors

Abstract

A method of converting a kinetic description to a hydrodynamic description is applied to electron transfer in semiconductors. It is shown that, in some class of external perturbations, the kinetic description is equivalent to a hydrodynamic description. The hydrodynamic model is nonlocal, since the material relations contain convolution operators with several kernels rather than transfer coefficients. In the general case, the nonlocal hydrodynamic equations for semiconductors reduce to a single transfer equation for electrons. The properties of the hydrodynamic nonlocality kernels are investigated, and their relation to classical transfer coefficients is determined.