Functions, Permutations, and Their Applications

From analyzing this expression, the symmetry of coefficients M p in respect to the permutation of indices a and P occurs necessarily only in the case of independent rushes fij of internal parameters (concentrations of intermediates involved in the reaction groups). It was shown previ ously that these are namely the systems allowing the construction of the Lyapunov function to describe their evolution through the entire region of applicability of the thermodynamic approach. It is usually impossible to find the Lyapunov functional for the intermediate nonlinear schemes. 

The overall corrosion protection of a metal, as well as general protective coatings irrespective of their function of coating, depends on the performance of a system as a whole, including its many interfaces and coating layers. These factors are not only mutually dependent as a combination but also in the order of application (permutation). Any single factor cannot be treated as a dominant one. There is very little work in the literature that focuses on the role of interfacial factors in the corrosion protection performance of coated systems. 

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