The nature of phase transitions. (The role of self-consistent feedback in the evolution of material structures)

The inability of statistical mechanics to determine the bounds of the condensed media phase regions, to compute the thermodynamic coordinates of phase transitions, to predict the molecular structures astride of the phase transition points, to estimate the rates of transitions from nonequilibrium to equilibrium, to determine the dependence of the solid body structure on the rate of the liquid melt cooling, etc. , is one of the most chronic diseases of modern theory. All these defects are related to the fundamental problem of unification of the laws acting in microcosm and in macrocosm. It is indisputable that these laws describe the same, i.e. , material systems of many interacting particles. Therefore, a general law must exist which connects both the levels of description of matter into a comprehensive whole. Mechanics itself does not contain the collective properties of many-particle systems, but, following the general logic, the signature of these properties should take place in the laws which govern the microscopic behavior of the system elements. The feedback principle pretends to accomplish such unification without any violation of the principles which underlie statistical mechanics.

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