Applications of dynamic bond percolation theory to the dielectric response of polymer electrolytes

Stephen D. Druger*, Mark A. Ratner, A. Nitzan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

42 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)106-111
Number of pages6
JournalSolid State Ionics
Volume18-19
Issue numberPART 1
DOIs
StatePublished - Jan 1986
Externally publishedYes

Funding

FundersFunder number
NSF/MRL
Northwestern MRC
Air Force Office of Scientific Research

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