Skip to main content
Log in

Volume effects in the theory of equilibrium and quasiequilibrium states of multicomponent solid solutions

  • Semiconductors. Dielectrics
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

A phenomenological theory of equilibrium and quasiequilibrium states of multicomponent solid solutions is constructed taking account of volume effects. Quasiequilibrium states are characterized by the fact that only some of the conditions for thermal dynamic equilibrium of the system are satisfied. The short-range parts of the interatomic interactions are taken into account by introducing the proper volumes of the atoms based on a generalized lattice model. The long-range parts of the potentials are taken into account in the effective-field approximation. The equations for the quasiequilibrium components in the solutions are introduced taking account of the nonuniformity in the distributions of the less mobile nonequilibrium components. The conditions for spinodal decomposition of a solid solution with an arbitrary number of components in the equilibrium and quasiequilibrium cases are obtained. An equation for equilibrium spinodal decomposition of a three-component microheterogeneous solid solution is found.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. I. M. Lifshitz and G. I. Stepanova, Zh. Éksp. Teor. Fiz. 33, 485 (1957) [Sov. Phys. JETP 6, 379 (1958)].

    Google Scholar 

  2. K. Binder and A. P. Young, Rev. Mod. Phys. 58, 801 (1986).

    Article  ADS  Google Scholar 

  3. D. Chowdhury, Spin Glasses and Other Frustrated Systems (World Scientific, Singapore, 1986).

    Google Scholar 

  4. S. de Groot and P. Mazur, Nonequilibrium Thermodynamics (North-Holland, Amsterdam, 1952; Mir, Moscow, 1964).

    Google Scholar 

  5. K. P. Gurov, Phenomenological Theory of Irreversible Processes [in Russian] (Nauka, Moscow, 1978).

    Google Scholar 

  6. B. S. Bokshtein, S. Z. Bokshtein, and A. A. Zhukhovitskii, Thermodynamics and Kinetics of Diffusion in Solids [in Russian] (Metallurgiya, Moscow, 1974).

    Google Scholar 

  7. B. Ya. Lyubov, Diffusion Processes in Inhomogeneous Solids [in Russian] (Mir, Moscow, 1981).

    Google Scholar 

  8. M. A. Zakharov, Fiz. Tverd. Tela (St. Petersburg) 41(1), 60 (1999) [Phys. Solid State 41, 51 (1999)].

    Google Scholar 

  9. A. Yu. Zakharov and S. V. Terekhov, Fiz. Met. Metalloved. 59, 261 (1985).

    Google Scholar 

  10. A. Yu. Zakharov and S. V. Terekhov, in Mathematical Problems of Chemical Thermodynamics [in Russian] (Nauka, Novosibirsk, 1985), p. 173.

    Google Scholar 

  11. M. A. Krivoglaz and A. A. Smirnov, The Theory of Alloys Undergoing Ordering [in Russian] (GIFML, Moscow, 1958).

    Google Scholar 

  12. A. G. Khachaturyan, The Theory of Phase Transformations and the Structure of Solid Solutions [in Russian] (Nauka, Moscow, 1974).

    Google Scholar 

  13. A. I. Olemskii, Izv. Vyssh. Uchebn. Zaved. Fiz. No. 9, 48 (1980).

  14. A. A. Katsnel’son and A. I. Olemskii, Microscopic Theory of Inhomogeneous Structures [in Russian] (Moscow State University, Moscow, 1987).

    Google Scholar 

  15. Ya. E. Geguzin, The Diffusion Zone [in Russian] (Nauka, Moscow, 1979)

    Google Scholar 

  16. Ya. E. Geguzin and M. A. Grivoglaz, The Motion of Macroscopic Inclusions in Solids [in Russian] (Metallurgiya, Moscow, 1971).

    Google Scholar 

  17. V. S. Eremeev, Diffusion and Stresses [in Russian] (Énergoatomizdat, Moscow, 1984).

    Google Scholar 

  18. H.-O. Georgi, Gibbs Measures and Phase Transitions [in Russian] (Mir, Moscow, 1992).

    Google Scholar 

  19. D. de Fontaine, Solid State Phys., Adv. Res. Appl. 34, 74 (1979).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Fiz. Tverd. Tela (St. Petersburg) 41, 1609–1613 (September 1999)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zakharov, M.A. Volume effects in the theory of equilibrium and quasiequilibrium states of multicomponent solid solutions. Phys. Solid State 41, 1476–1479 (1999). https://doi.org/10.1134/1.1131034

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1131034

Keywords

Navigation