Ε Tau

}}{1+(i\omega \tau )^{1-\alpha }}}} where ε ∗ {\displaystyle \varepsilon ^{*}} is the complex dielectric constant, ε s {\displaystyle \varepsilon _{s}} and ε ∞ {\displaystyle

the only combination that has the dimension of time is τ η = ν ε {\displaystyle \tau _{\eta }={\sqrt {\tfrac {\nu }{\varepsilon }}}} which is the Kolmogorov

number; that is, within ε of x. In essence, points within ε of x approximate x to an accuracy of degree ε. Note that ε > 0 always but as ε becomes smaller and

}{(1+(i\omega \tau )^{\alpha })^{\beta }}},} where ε ∞ {\displaystyle \varepsilon _{\infty }} is the permittivity at the high frequency limit, Δ ε = ε s − ε ∞ {\displaystyle

{\displaystyle \Gamma _{j}=1/\tau } . Separating the real and imaginary components, ε ^ ( ω ) = ε 1 ( ω ) + i ε 2 ( ω ) = [ ε ∞ + ∑ j s j ( ω 0 , j 2 − ω