Abstract

Abstract The frequency-dependent dielectric loss due to ion migration in a solvent with a given dielectric function ∊(ω) is calculated explicitIy within the following framework: i) The solvent is treated in the dielectric continuum model ii) The Navier-Stokes equation is solved for the velocity field iii) The limiting cases of (a) large ion radius (weak coupling) and (b) point ions (strong coupling) are treated explicitly. The most clearcut prediction of the theory is that the incremental frequency-dependent conductivity is proportional to ω¼ at high frequencies, the power law being independent of the form of ∊(ω). For arbitrary frequencies, in the limits (a) and (b) above, the incremental frequency-dependent conductivity can be calculated explicitly given the dielectric function of the solvent.

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