Fractal explanation of Meyer–Neldel rule

Abstract The relation between Meyer–Neldel rule (MNR) and fractal is investigated. Using very simple and elementary mathematics, it is proved that the (MNR) is one of Mandelbrot sets form. The dc conductivity in temperature range 1.7 K–300 K of structural disordered germanium irradiated fast neutrons with fluencies 1016 cm− 2 ≤ Φ ≤ 1.2 × 1017 cm− 2 is measured. From analysis, the dc conductivity results, the obtained EMN values is proportional with dc activation energies of each mechanisms of conduction. From the three values of EMN related to each mechanism of conduction the second stage of EMN is obtained. The second stage of EMN value is lower than EMN obtained from ΔE1 or ΔE2. This result confirms the smaller replicas of self-similar distribution of impurity centers in germanium disordered fast neutrons irradiation. EMN is postulated as the loss of energy dissipated in formation certain fractal system in a medium.