statistic theory of dispersion of tensors of electric conductivity
and dielectric susceptibility of electrolyte solutions
Authors: S.Odinaev (Physics-Technical Institute, Academy of Sciences, Republic of Tajikistan, 299/1 Aini Ave, Dushanbe, 734063) , I.Ojimamadov (M.S.Osimi Tajik Technical University, Akad. Rajabovs Str., 10, Dushanbe 734042, Republic of Tajikistan)
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.
Key words: kinetic equation, distribution functions, frequency
dispersion, dielectric susceptibility tensor, electric
PACS: 61.20.Qg, 51.10.+y
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