Dynamic structure factor and acoustic attenuation in disordered solid electrolytes

The review of possible interrelations between ionic conductivity, internal friction and the viscosity of glasses and glass forming melts within the framework of Maxwell equations

“…[77]). This relaxation process of inelastic attenuation (see [20]) has the same mechanism as the ionic conductivity because the energies of activation of inelastic attenuation and the ionic conductivity coincide. Therefore, if the particles, responsible for d.c. ionic conductivity and the internal friction maximum really are the same, we obtain the possibility to calculate the temperature of internal friction maximum as the frequency f (internal friction experiment) may be put equal to ν in Maxwell Eq.…”

“…The values V σ ⁎ for solid glasses were calculated by means of Eq. (20). For the simplicity, I accepted in the calculations the equality of the experimental values ΔE σ , logσ 0 and ΔG σ ≠ , logσ 0, theor.…”

“…In a first approximation, the frequency response seems to be independent of the glass composition and the nature of the relaxation process" [9]. Roling et al [9,19] widely used for the interpretation of the inelastic attenuation mechanism the principles of the dynamic structure factor theory [20]. The coupling function between deformation and potential energy of mobile ions is supposed as universal and the dynamic structure factor of the underlying transport process must be universal too.…”

Ion diffusion and mechanical losses in mixed alkali glasses

“…Since the occupation numbers n a i are the conjugate variables to the site energies a i in Eq. (1), the energy response, and hence the internal friction can be calculated from correlation functions of the occupation variables in the unperturbed system by applying the fluctuation dissipation theorem (for a similar analysis, see [33,34]). Under simplest assumptions the coupling constants are uncorrelated for different sites i and different types a, ½v a i v bH j av / d ab d ij , and uncorrelated with the site energies of the unperturbed system ½v a i a i av ¼ 0 ([.…”

Maxwell equation for conductivity of dielectrics as the basis of direct relationship of ionic electrical conductivity and mechanical losses in glasses. New problems of physical chemistry of glass

“…However, this method is only empirical, because the temperature nonconstancy of β is known; this makes the suggestion of constant activa tion energy incorrect. An attempt to select the values n and m in a known "double" exponential law, which also has an empirical character, tanδ (ω, T) , also gave a sufficient result [33]; however, the theoret ical sense of the given relationship is indefinite. The first attempts to interpret the parameters included in Eq.…”