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This paper introduces a new methodology for the theoretical study of the dielectric properties of a ternary polymer mixture, or in short a polymer blend, where each species is characterized by a unique dielectric permittivity. Thus, the dielectric properties of a ternary polymer mixture are defined with two overall permittivity parameters but considering three different species. Two prototypes of a ternary polymer (model 1) and a ternary polymer blend (model 2) are listed below:
model 1: A polymer A (~ε A )+B polymer B (~ε B ) = ~ ε P1 + B polymer B (~ε P2 )
model 2: Polymer A ( ~ε A )+P B polymer B (~ε P )+(1- P) polymer C (~ε C ) = ~ ε P 1 + (1-p) polymer C (~ ε P2 )
In both models, P is the volume fraction of the polymer C, and the overall permittivity of every system is~ ε P = ε A P1 + ε B P2 + (1-P) ε C. The results obtained for a two-component system (polymer A and polymer B) are summarized below: (i) if model 1 applies, we have ~ε P1=ε A and ~ε P2=η B, and (ii) if model 2 applies, we have ~ε P1=η A and ~ε P2=ε B ~ ε P=η A+η B. Thus, if we assume that P is almost zero (i.e. Papprox1, we have that the permittivity of ternary polymer mixture is more sensitive to the permittivity of the species with the highest concentration than to the one with the lowest concentration. For example, if we compare model 1 (polymer A, polymer B, polymer C) versus model 2 (polymer A, polymer P, polymer C), ~ε P model 1, η A+η B=η A+η B, η P=η A+η P, Papprox1.
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