Critical simplification generalization

The example of critical simplification analyzed in this chapter may serve as a good subject for some generalization. Let us assume that in our system there are three independent variables (chemical concentrations), one mass conservation balance, and one infinitely fast reaction between two surface species. As usual, our system is governed by the mass-action law and there is no question of autocatalysis. In this case, the steady-state value of one variable will be zero (or rather, negligible) and the dynamics of the system will be two-dimensional. Consequently, critical simplification will be observed for this system as well. 

With the status of current secondary and tertiary services being as briefly stated above, the innovative approach of the Solubility Data Project is that its compilation and critical evaluation work involve consolidation and reprocessing services when both activities are based on intellectual and scholarly reworking of information from primary sources, it comprises compact compilation, rationalization and simplification, and the fitting of isolated numerical data into a critically evaluated general framework. 

On the level of disciplines we may conclude, albeit with some simplification, that fields that are generally considered socially and/or ethically problematic are also associated with research taking place in secrecy and in places isolated from the critical eyes of scientific peers or the lay public. The unproblematic disciplines typically operate outdoors or in public settings such as universities and government laboratories (Weingart et al. 2003, p. 285). 

Stern s derivation of this equation might easily be Improved upon by the methods of statistical mechanics, and the equation itself will be liable to minor corrections by a more critical treatment. We have worked, however, with the original equation, because we only needed its general proporties, and a more precise one hardly seems needed In view of the simplifications and defects still involved in Stern s picture. 

The advantages of the direct correlation function approach include the ability to treat systems close to critical points, together with a general simplification of the expressions such as those in Section 1.2.3. The disadvantages are that the DCF or DCFI cannot be calculated directly from simulation, only through the defining expression in Equation 1.40, and their molecular interpretation is less clear compared to the KBIs. 

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