An extension of McKelvey´s one-flux method to energy space

McKelvey et al. (1961) introduced the one-flux method, based on left-going and right-going fluxes of particles, as an alternative to the drift-diffusion method in describing semiconductor devices. To study the limitations of the one-flux method, I propose an extension of the method to account for the energy of the particles. This extension, based on Bringuier´s Fokker-Planck approach to the Boltzmann equation, reduces the Boltzmann equation from momentum space to energy space.