Conductivity of disordered solids: Resolution of discrepancies between micro- and macro-response models - art. no. 052205

The widely used 1972 macroscopic electric-modulus formalism for conductive- system frequency-response data analysis is corrected to render it properly consistent with purely mobile-charge situations. The corrected model is fou nd to be fully consistent with a 1973 microscopic stochastic-response appro ach based on continuous-time random-walk hopping when the effect of a limit ing high-frequency dielectric constant associated only with charge motion i s added to the latter model. When stretched-exponential temporal response w ith a temperature-dependent beta exponent is used to generate the modulus-f ormalism response model, its temporal dependence is not of stretched-expone ntial character, and ac conductivity may show non-Arrhenius behavior and an approach to saturation at high temperatures.