• Українська
  • English

< | >

Current issue   Ukr. J. Phys. 2015, Vol. 60, N 6, p.553-560
https://doi.org/10.15407/ujpe60.06.0553   Paper

Poluektov Yu.M.

National Science Center “Kharkiv Institute of Physics and Technology”, Nat. Acad. of Sci. of Ukraine
(1, Akademichna Str., Kharkiv 61108, Ukraine; e-mail: yuripoluektov@kipt.kharkov.ua)

Thermodynamic Perturbation Theory for Classical Systems Based on Self-Consistent Field Model

Section: General problems of theoretical physics
Language: English

Abstract: A formulation of the thermodynamic perturbation theory for classical many-particle systems, which is based on a self-consistent field model as the main approximation, has been proposed. Systems of particles in a spatially homogeneous state and in external fields that increase or decrease as the distance from the surface changes are considered as an example. The application of the self-consistent field approach as the main approximation is found to enable the description of many-particle systems, in which the concentration of particles and the interactions between them are not low, as well as phase transitions in such systems.

Key words: perturbation theory, self-consistent field, thermodynamic quantities, dense gases and fluids.


  1. L.D. Landau and E.M. Lifshitz, Statistical Physics, Part 1 (Pergamon Press, Oxford, 1980).
  2. I.P. Bazarov, Statistical Theory of Crystalline State (Moscow Univ. Publ. House, Moscow, 1972) (in Russian).
  3. I.P. Bazarov, E.V. Gevorkyan, and V.V. Kotenok, Statistical Theory of Polymorphic Transformations (Moscow Univ. Publ. House, Moscow, 1978) (in Russian).
  4. A.A. Vlasov, Many-Particle Theory and Its Application to Plasma (Gordon and Breach, New York, 1961).
  5. I.Z. Fisher, Statistical Theory of Liquids (Chicago Univ. Press, Chicago, 1964).
  6. C.A. Croxton, Liquid State Physics: A Statistical Mechanical Introduction (Cambridge Univ. Press, Cambridge, 2009).
  7. S. Ono and S. Kondo, Molecular Theory of Surface Tension in Liquids (Springer, Berlin, 1960).
  8. Yu.M. Poluektov, Izv. Vyssh. Ucheb. Zaved. Fiz. 47, 74 (2004).
  9. Yu.M. Poluektov, Izv. Vyssh. Ucheb. Zaved. Fiz. 52, 30 (2009).
  10. Yu.M. Poluektov, Ukr. Fiz. Zh. 50, 1303 (2005) (arXiv: 1303.4913 [cond-mat.stat-mech]).
  11. Yu.M. Poluektov, Ukr. Fiz. Zh. 52, 578 (2007) (arXiv: 1306.2103 [cond-mat.stat-mech]).
  12. I.R. Yukhnovskii and M.F. Golovko, Statistical Theory of Classical Equilibrium Systems (Naukova Dumka, Kyiv, 1987) (in Russian).
  13. R.A. Aziz and M.J. Slaman, J. Chem. Phys. 94, 8047 (1991). CrossRef
  14. J.B. Anderson, C.A. Traynor, and B.M. Boghosian, J. Chem. Phys. 99, 345 (1993). CrossRef
  15. K. Huang, Statistical Mechanics (Wiley, New York, 1963).
  16. Yu.S. Barash and V.L. Ginzburg, Usp. Fiz. Nauk 116, 5 (1975). CrossRef
  17. S.J. Putterman, Superfluid Hydrodynamics (North Holland, New York, 1974).
  18. Physics of Simple Liquids, edited by H.N.V. Temperley, J.S. Rowlinson, and G.S. Rushbrooke (North-Holland, Amsterdam, 1968).