Abstract
The hyperbolic-two-step (HTS) model and the dual-phase-lag (DPL) model are revisited in the current work. A macroscopic delayed model of thermoelectricity is proposed on a basis of the microscopic HTS-model with thermoelectric properties. Along with the temperature gradient and the induced electric field, it is found that the electric current may depend on its rate and the temperature gradient rate. A new phase-lag in the electric current density is revealed. By direct correlations with the thermoelectric HTS-model, the electric current phase-lag is found to be nothing but the relaxation time at the Fermi level. In the absence of an electric field, the model proposed is studied. The effect of the figure of merit and the electric current phase lag on the temperature and the electric current is examined.