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Figure 4: Permittivity ε´(ω) and electrical conductivity σ(ω) of a concentric shelled spherical particle suspension as a function of the frequency with the presence of a single localized surface charge distribution localized alternatively at the inner or outer interface. Left panels: Low values of γ (γ =5 × 10-11) at the outer or at the inner interface. Upper panel: the permittivity ε´(ω); bottom panel: the electrical conductivity σ(ω). Insets show the dispersion curves in an enlarged scale. Right panels: high values of γ (γ =5 × 10-9) at the outer or at the inner interface. Upper panel: the permittivity ε´(ω); bottom panel: the electrical conductivity σ(ω). The dielectric phase parameters are: Φ=0.10, ε0=80, σ0=0.0001 S/m; ε1=20, σ1=10-6 S/m; ε2=10, σ2=1 × 10-7 S/m. The charge diffusion coefficients are assumed to be D1 = D2=10-8. The sphere is modeled with R1=10-6 m, R2=0.5 × 10-6 m. The numbers represent SI units. |