Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5441414 | Journal of Non-Crystalline Solids | 2017 | 4 Pages |
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 cmâ 2 â¤Â Φ â¤Â 1.2 Ã 1017 cmâ 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 ÎE1 or ÎE2. 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.
Related Topics
Physical Sciences and Engineering
Materials Science
Ceramics and Composites
Authors
Samy A. El-Sayed,