Our recently-developed dynamic bond percolation model is extended and applied to polymer electrolytes by assuming an approximate form for the relaxation of the carrier mean-square displacement to its asymptotic value below the percolation threshold, with similar assumptions for the short-range motion of the ionic charges bound to the polymer host. The parameters characterizing the long-range-motion part of the carrier response are shown to be fully determined in terms of the bond percolation parameters, thereby allowing comparison with the exact analytic solution presently available only in one dimension. The behavior of the dielectric response based on the assumed functional form of 〈r2>0(t) (the mean-square carrier displacement from its initial position in a frozen lattice) is shown to be given by a sum of Debye dielectric loss peaks, and is compared with frequency-dependent data for PEO·NaSCN.
ASJC Scopus subject areas
- Physical and Theoretical Chemistry
- Energy Engineering and Power Technology
- Materials Chemistry
- Condensed Matter Physics