Generalizations of multiple trapping

Ion trapping model of the ac conductivity in disordered solids

In this paper, we develop an approach based on ions trapping to describe the conductivity spectra in disordered solids. Applying the multiple trapping model and the diffusion equation for ions, we obtained a new expression for the ac conductivity, which allows us to describe the conductivity spectra in wide ranges of frequencies and temperatures. In the high-temperature region, the new expression for the ac conductivity reproduces the Jonscher behavior, and with decreasing temperatures transforms into an expression of the NCL-type. A new expression for the ac conductivity was successfully tested on the conductivity spectra of ion-conducting glasses.

Trap-controlled proton hopping: interpretation of low-temperature dielectric relaxation of ice Ih

A microscopic model of the dielectric relaxation of ice at low temperatures is proposed.