Modeling the metal ionization with bulk and surface transport of reagents

Approximate analytical overall isotherms: lateral interactions of adsorbate species and patchwise topology

“…The adsorption functions represent dependencies of coverage on pressure for the former and on ionic activity or concentration (for solutions with constant ionic power) for the latter. The last case seems promising, in particular, for modeling of the corrosive environment where there exists a competition between aggressive surface-active ions (as, e.g., Cl-ions whose adsorption is sure to be considered involving lateral interactions) and inhibitor's molecules for the surface's active centres at which intermediate adsorption complexes are being formed [ 16 , 17 , 18 ].…”

“…It's important to note that whereas solution (17) for the direct local adsorption function is polynomial it doesn't incorporate any built-in selfcontrol mechanism for a physical meaning. This means that with wrong i.e.…”

“…Besides that, there arises a question of the solution domain with respect to α. (18), orange due to the approximate solution (17). For α ¼ 4 (the phase transition threshold) the long-dashed curve is calculated with the fitting parameter μ optimal in the sense of norm N1, the short-dashed curve with μ optimal for norm N2.…”

“…transitions (a single-value local true adsorption function). In the area close to emerging or related to the existing phase transition the norm N1 is less suitable in the area of multiple-valuedness of the adsorption function where the use of norm N2 provides a closer positioning of the local adsorption function (17) to the Fowler-Guggenheim local adsorption function and can be preferable. A simple statistical correlative evaluation here doesn't seem to be reasonable because the standard mathematical statistics operates institutionally in terms of the norm N1 (values of functions are to be evaluated referring to common nodes or abscissa values) which therefore will always have an advantage with formal evaluations of this kind.…”

“…Figure3demonstrates how the direct local adsorption function(17) looks like for some values of α compared to its generating, inverse with…”