Abstract
We derive explicit exact expressions for the frequency dependent conductivity of a system whose dynamics is described by a Master Equation in which the transition ratesΓ ab can be functions of other dynamical variables. We apply this method to study the hopping of particles in a lattice with the hopping rate modulated by an additional harmonic variable. The results of this model are related to the observed microwave conductivity of superionic conductors. In particular we show that the modulation of the hopping rate can produce a structure similar to the one observed in AgI type systems.
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References
We intend here the so called “temporally homogeneous” Master Equation in which the transition ratesΓ ab only depend on the configurationsa andb. See for example Chester, G.V.: In: Many body problems. New York: W.A. Benjamin 1969
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Pietronero, L., Strässler, S. Conductivity of a generalized hopping system with internal dynamics. Z Physik B 36, 263–269 (1980). https://doi.org/10.1007/BF01325290
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DOI: https://doi.org/10.1007/BF01325290