To the statistic theory of dispersion of tensors of electric conductivity and dielectric susceptibility of electrolyte solutions

• Main Authors: S.Odinaev, I.Ojimamadov
• Format: Article
• Language: English
• Published: Institute for Condensed Matter Physics 2004-01-01
• Series: Condensed Matter Physics
• Subjects: kinetic equation; distribution functions; frequency dispersion; dielectric susceptibility tensor; electric conductivity tensor
• Online Access: http://dx.doi.org/10.5488/CMP.7.4.735

We have obtained an equation describing space-time behaviour of the current density component by using kinetic equation for one-particle distribution function for the structural units of the solution with the generalized Vlasov potential. The analytic expression for the complex tensor of electroconductivity σ(ω) is given derived from the Fourier-transform and from the comparison with the differential form of the Ohm's law. This permitted us to obtain the dielectric susceptibility tensor ε(ω) for conducting media. By identifying the longitudal ε_|| and transversal ε_⊥ parts one can determine the anisotropy of the dielectric susceptibility for electrolyte solutions.