Kinetic approach to the heating of electrons and phonons in semiconductors

A general approach to the study of the energy exchange between hot electrons and phonons is presented. We present a discussion on the choice of the most suitable kinetic model to theoretically investigate the transport of both hot electrons and hot phonons. All of these kinetic models are based on the calculation of the symmetric part of the non-equilibrium distribution functions in the form of the Dirac function (for electrons) or the Planck function (for phonons) with separate non-equilibrium local temperatures for each subsystem of quasi-particles. General equations to calculate these temperatures are derived and reported