Distribution function fractional rotational diffusion

The complex susceptibility components %Y(co) can be evaluated from Eq. (147) by calculation of the eigenvalues Xyk for normal rotational diffusion (see Section III.C). However, /.,( or) may be much more effectively calculated by using the continued fraction method (see Ref. 103 for detail). Let us first evaluate the longitudinal response. By expanding the distribution function W(i9, t) in a Fourier series (here W is independent of 9)... 

In this chapter, the binary mixture of GB particles of different aspect ratios has been studied by molecular dynamics simulation. The composition dependence of different static and dynamic properties has been studied. The radial distribution function has been found to show some interesting features. Simulated pressure and overall diffusion coefficient exhibit nonideal composition dependence. However, simulated viscosity does not show any clear nonideality. The mole fraction dependence of selfdiffusion coefficients qualitatively signals some kind of structural transition in the 50 50 mixture. The rotational correlation study shows the non-Debye behavior in its rank dependence. The product of translational diffusion coefficient and rotational correlation time (first rank) has been found to remain constant across the mixture composition and lie above the stick prediction. 

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