Abstract
Fluctuation relations are obtained which correspond to finite ensembles of different techniques in atomic ordering theory: Gorskii-Bragg-Williams, Kirkwood, quasichemical, the Bogolyubov-Born-Green-Kirkwood-Ivon equations, and Green's functions. The compatibility of the equilibrium equations of the aforementioned techniques with the corresponding fluctuation relations is verified.
Similar content being viewed by others
Literature cited
D. M. Shtern and L. M. Rubinovich, in: The Ordering of Atoms and Its Effect on the Properties of Alloys [in Russian], UNTs Akad. Nauk SSSR Press, Sverdlovsk (1983), p. 69.
L. M. Rubinovich and E. V. Kozlov, in: The Ordering of Atoms and Its Effect on the Properties of Alloys [in Russian], UNTs Akad. Nauk SSSR Press, Sverdlovsk (1983), p. 67.
M. A. Krivoglaz and A. A. Smirnov, Theory of Order-Disorder in Alloys, MacDonald, London (1964).
V. B. Kahsirin, in: Proceedings of an Applied Science Conference, “Young Scholars and Specialists of the Tomsk Region in the Tenth Five-Year Plan,” Tomsk State Univ. Press, Tomsk (1975), p. 95.
D. M. Shtern and E. V. Kozlov, Fiz. Met. Metalloved.,47, No. 3, 464 (1979).
L. M. Rubinovich and E. V. Kozlov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 10, 30 (1982).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 25–31, December, 1986.
Rights and permissions
About this article
Cite this article
Solov'eva, M.I., Shtern, D.M., Rubinovich, L.M. et al. Application of finite statistical ensembles in atomic ordering theory. Soviet Physics Journal 29, 973–977 (1986). https://doi.org/10.1007/BF00895997
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00895997