Adiabatic quantum fluid transport models

International audienceCoupled quantum-fluid models are derived by means of a diffusion approximation from adiabatic quantum-kinetic models. These models describe the electron transport of a bidimensional electron gas. Particles are confined in one direction (denoted by z ) while transport occurs in an orthogonal direction (denoted by x). The length-scale in the z direction is comparable to the de Broglie wavelength, while the x-length scale is much bigger. The aim of this paper is to investigate the diffusion limit from quantum-kinetic to quantum-fluid models, which are numerically more interesting. Transitions between subbands are considered in the Fermi Golden rule setting