抄録
Dynamic behavior of the conductivity by hopping of ideal lattice–gas ions is theoretically investigated in 1- to 3-dimensional random lattices, on the basis of the relaxation mode theory. The exactly obtained expression of the conductivity leads to the formula at infinite frequency ω=∞. In addition, two scaling frequencies ω2 and ω3 are proposed and approximately derived. It is numerically shown that the normalized conductivity \\hatσ(ω) scales as \\hatσ(ω)=f(ω⁄ω2) at lower temperatures, while at higher temperatures it does as \\hatσ(ω)=f(ω⁄ω3), irrespective of temperature and dimension. These conductivities result in a master envelope curve, which is the so-called universality.
