Self-consistent theory illustrative applications

The critical thickness theory is a fundamentally sound, self consistent mechanistic theory that has played a central role in understanding strain relaxation in heterostructures (Matthews and Blakeslee (1974), Matthews and Blakeslee (1975)). The situation in which the critical thickness approach is most directly applicable is when dislocations, which already exist in the substrate and which terminate at the substrate surface, are simply continued into the epitaxial film during growth. Such a situation is illustrated by the TEM image in Figure 6.14. A pre-existing dislocations in a Si sub-... 

We now have all the elements needed to define a self-consistent system of equations to describe the full dynamic properties of a colloidal dispersion in the absence of hydrodynamic interactions. In this section we summarize the relevant equations for both, mono-disperse and multicomponent suspensions, and review some illustrative applications. The general results for A (t), F(k, t), and F k, t) in Equations 1.20,1.23, and 1.24, complemented by either one of the Vineyard-like approximations in Equations 1.25 and 1.26, and with the closure relation in Equation 1.27, constitute the full self-consistent GLE theory of colloid dynamics for monodisperse systems. Besides the unknown dynamic properties, it involves the properties SQi), t), and t), assumed to be deter-... 

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