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Figure 5: Permittivity ε´(ω) of a concentric shelled spherical particle suspension as a function of the frequency for a localized surface charge distributions characterized by γ1 =0, for different values of γ2 (1 × 10-11, 5 × 10-11, 1 × 10-10, 5 × 10-10, 1 × 10-9, 5 × 10-9, 1 × 10-8, marked in the increasing order by the arrow). 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 inset shows the electrical conductivity σ(ω) as a function of frequency, for the same set of values of the parameters. The numbers represent SI units. |