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- W2997112946 abstract "We solve exactly the dielectric response of a non-insulating sphere of radius $a$ suspended in symmetric, univalent electrolyte solution, with ideally-polarizable interface but without significant $zeta$-potential. We then use this solution to derive the dielectric response of a dilute random suspension of such spheres, with volume fraction $fll1$, within the Maxwell-Garnett Effective Medium Approximation. Surprisingly, we discover a huge dielectric enhancement in this bare essential model of dielectric responses of solids in electrolyte solution: at low frequency $omegatau_D ll (lambda/a) / (sigma_w / sigma_s+1/2)$, the real part of the effective dielectric constant of the mixture is $1-(3f/2)+(9f/4)(a/lambda)$. Here $sigma_{w/s}$ is the conductivity of the electrolyte solution/solids, $lambda$ is the Debye screening length in the solution, $tau_D=lambda^2/D$ is the standard time scale of diffusion and $D$ is the ion diffusion coefficient. As $lambda$ is of the order nm even for dilute electrolyte solution, even for sub-mm spheres and low volume fraction $f=0.05$ the huge geometric factor $a/lambda$ implies an over $10^4$-fold enhancement. Furthermore, we show that this enhancement produces a significant low frequency ($omegatau_Dll1$) phase shift $tantheta = mathrm{Re}~ epsilon(omega) / mathrm{Im} ~epsilon(omega)$ in a simple impedance measurement of the mixture, which is usually negligible in pure electrolyte solution. The phase shift has a scale-invariant maximum $tantheta_{mathrm{max}}=(9/4)f/(2sigma_w/sigma_s+1)$ at $omega_{mathrm{max}}=(2D/lambda a)/(2sigma_w/sigma_s+1)$. We provide a physical picture of the enhancement from an accumulation of charges in a thin Externally Induced Double Layer (EIDL) due to the blocking boundary conditions on interfaces." @default.
- W2997112946 created "2020-01-10" @default.
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- W2997112946 date "2018-01-01" @default.
- W2997112946 modified "2023-09-23" @default.
- W2997112946 title "Dielectric Enhancement from Non-Insulating Particles with Ideally Polarized Interfaces and Zero zeta-Potential I: Exact Solution" @default.
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