INTRODUCTIONRecently the hydrodynamic model has become popular in the field of analysis and simulation of semiconductor devices*. The model has the merit of providing, along with the concentration and current density of the carriers, also their average energy and average energy flux. At the same time, its equations basically retain the same structure of the simpler drift-diffusion model; because of this, it has been possible to incorporate the hydrodynamic equations into existing deviceanalysis codes, thus exploiting a number of robust solution schemes already available there.The hydrodynamic model is derived by applying the moment technique to the Boltzmann transport equation (BTE) and truncating the series of moments at a suitable order. This yields a number of partial differential equations in the r, t space, specifically, the continuity equations for the carrier number, momentum, average energy and average energy flux. In this procedure, due to the integration over the wave vector space and to the series truncation, some of the information originally carried by the distribution function is lost. However, the information provided by the continuity equations indicated above is in most cases sufficient to describe the electrical behaviour of realistic semiconductor devices.It is worth noting that the term hydrodynamic model is not always given exactly the same meaning in the existing literature. What is meant here by this term is a model derived through the following steps: * Part of this work was carried out within ADEQUAT (JESSI BTl I, ESPRIT 8002) and DESSIS (ESPRIT 6075).
E. Schöll (ed.), Theory of Transport Properties of Semiconductor Nanostructures