Development of Statistical Topokinetic Theory Accounting Self-Consistent Atomic Relief of Dissolved Crystal Surface and Dissolution Rate

Development of modern technologies for products with higher corrosion stability needs development of modern concepts on the nature of electrochemical processes of metal and alloy corrosion that is impossible without upgrade of statistical topokinetic theory self-consistently describing the atomic relief topography and surface dissolution kinetics. Solution of this problem is principally possible with appropriate selection of the elementary object of statistics: surface atomic position determined by the number and configuration of the adjacent atoms, which also determine the bond energy and thus the probability of dissolution. However, realization of such approach is related to the necessity of using the assumptions, which are indispensable for essential reduction of cumbersome equations of the "precise" model. But the formulation of these assumptions is not sufficient as their substantiation is by itself a complex problem, which solution is suggested in this study. In addition, of the suggested approach were considered: in accordance with the kinetic equations accounting change in the concentration of positions due to dissolution of atoms from these of adjacent positions, the process of dissolution is interpreted as a branched chain reaction; selection of the physically actual small parameter is discussed in order to solve the complex nonlinear set of kinetic equations for atomic positions.