The inability of statistical mechanics to determine the bounds of the condensed medium 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 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 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 combines both levels of description of matter into a comprehensive whole. Mechanics itself does not contain the collective properties of many-particle systems, but, following 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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References
J. W. Gibbs, Elementary Principles in Statistical Mechanics [Russian translation], OGIZ, Moscow; Leningrad (1940).
R. Balesku, Equilibrium and Nonequilibrium Statistical Mechanics, Vols. 1 and 2 [Russian translation], Mir, Moscow (1978).
V. L. Ginzburg, Usp. Fiz. Nauk, 179, No. 5, 525 (2009).
K. Chang, The Nature of Glass Remains Anything but Clear, The New York Times, July 29 (2008); P. W. Anderson, Science, 267, 1615 (1995).
P. V. Fedotov and A. V. Kochetkov, Internet-Zhurnal “Naukovedenie,” 8, No. 5, 5 (2016).
N. S. Krylov, Works on the Substantiation of Statistical Physics, Publishing House of the Academy of Sciences of the USSR, Moscow; Leningrad (1950).
A. D. Sukhanov and Yu. D. Rudoi, Usp. Fiz. Nauk, 176, No. 5, 531 (2006).
A. G. Godizov and A. A. Godizov, Int. J. Mod. Phys. B, 28, No. 24, 1450163 (2014).
F. H. Stillinger, J. Phys. Chem., 74, 3677 (1970).
K. Morokuma and J. R. Winich, J. Chem. Phys., 52, 1301 (1970).
T. Poston and I. Steward, Catastrophes Theory and its Applications, PITMAN, London (1978).
A. E. Galashin and E. A. Galashin, Dokl. Akad. Nauk SSSR, 225, No. 2, 345 (1975).
M. Plazanet, C. Floare, M. R. Johnson, et al., J. Chem. Phys., 121, 5031 (2004).
N. A. Dubrovich, Dokl. Akad. Nauk SSSR, 307, No. 3, 568–570 (1989).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 56–64, January, 2022.
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Godizov, A.G. Nature of Phase Transitions (Role of the Self-Consistent Feedback in the Evolution of Material Structures). Russ Phys J 65, 63–71 (2022). https://doi.org/10.1007/s11182-022-02607-3
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DOI: https://doi.org/10.1007/s11182-022-02607-3