Effects of reduced dimensionality in the relaxation dynamics of ionic conductorsM. Castro1, A. Rivera2, J. García-Barriocanal2, F. Domínguez-Adame3, A. G. Belous4, J. Santamaría2 and C. León2
1 GISC, Escuela Técnica Superior de Ingeniería (ICAI) Universidad Pontificia Comillas - 28015 Madrid, Spain
2 GFMC, Departamento de Física Aplicada III, Universidad Complutense 28040 Madrid, Spain
3 GISC, Departamento de Física de Materiales, Universidad Complutense 28040 Madrid, Spain
4 Institute of Inorganic Chemistry, Ukrainian Academy of Sciences 252680, Ukraine
received 2 November 2004; accepted in final form 3 January 2005
published online 4 February 2005
We report on the dispersive ionic conductivity in 0.5-xx ( ), where the number of available positions for the mobile ions is reduced by introducing immobile ions. At high frequency the conductivity is power law dependent with an exponent which increases as the number of accessible neighboring sites decreases. This result is quantitatively accounted for in terms of a one-parameter statistical microscopic model. We provide experimental and theoretical evidence for the importance of reduced dimensionality resulting from the blocked pathways in slowing down the dynamics of diffusing ions.
66.30.Hs - Self-diffusion and ionic conduction in nonmetals.
66.10.Ed - Ionic conduction.
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