(AgI) (1− x ) –(Al 2 O 3 ) x nanocomposite system: ionic conductivity simulations by a random variable theory

Conductivity data of (AgI) (1− x ) –(Al 2 O 3 ) x nanocomposites are fitted by using a random variable theory with a probability density in the charge carriers. Experimental data show that the increase in alumina concentration leads to a decrease in the jump in conductivity experienced by the system at 420 K. The experimental data, both the abrupt jump and the logarithm of conductivity times temperature as a function of the inverse of temperature behavior in the 300–500 K temperature range and concentrations x = 0.0,0.3,0.6, and 0.8 per mol, were well fitted. The abrupt change in conductivity results from the sudden increase in the number of carriers with a probability distribution function that varies with the reduced temperature of the system. The chosen values for the parameters Γ and χ that fit the conductivity behavior for each concentration are on the theoretical curve predicted by the model with a probability density in the charge carriers.