Chapter 5 · Evaluation and Analysis

Using the critical diffusion coefficient shown in Figure 5.15, the amplitude D₀ can first be determined from the simple power law:

Original thesis eq-5-14 on PDF page 91

This gives D₀ = 2.69 × 10−9 m²/s.

Original thesis fig-5-15 on PDF page 91

Figure 5.15. Critical diffusion coefficient Dcrit and total diffusion coefficient Dtot.

For the subsequent discussion based on mode-coupling theory, the relevant quantity is the total diffusion coefficient Dtot from Eq. (5.12). This expression includes the viscosity discussed in Section 5.3.1.1. According to [55], however, a crossover correction must be applied to the viscosity, thereby also affecting the diffusion coefficient.

Such a correction is intended to extend the description of critical systems to regions far from the critical point, where hydrodynamic effects rather than critical fluctuations must be considered. The corrected shear viscosity ηs is written as:

Original thesis eq-5-15 on PDF page 91