Non-Arrhenius behaviour and fast increase of the ionic conductivity is observed for a number of potassium silicate glasses (1−x)SiO2−xK2O with potassium oxide concentration larger than a certain value x=xc=0.14. Recovering of Arrhenius behaviour is provided by the annealing that enhances densification. Conductivity furthermore obeys a percolation law with the same critical concentration xc. These various results are the manifestation of the floppy or rigid nature of the network and can be analyzed with constraint theory. They underscore the key role played by network rigidity for the understanding of conduction and saturation effects in glassy electrolytes.
@article{arxiv.cond-mat/0509644,
title = {Correlation between floppy to rigid transitions and non-Arrhenius conductivity in glasses},
author = {M. Malki and M. micoulaut and F. Chaimbault and Y. vaills},
journal= {arXiv preprint arXiv:cond-mat/0509644},
year = {2009}
}