Skip to main content
SpringerLink
Log in

New insight on an old approach to the theory of critical phenomena

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

The theory of critical phenomena in liquids is constructed on the base of the Ornstein-Zernike equation. Numerous previously unknown details of critical phenomena are found.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L. S. Ornstein and F. Zernike,Proc. Acad. Sci. Amsterdam,17, 793 (1914).

    Google Scholar 

  2. M. A. Anisimov,Critical Phenomena in Liquids and Liquid Crystals [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  3. T. Morita and K. Hiroike,Progr. Theor. Phys.,23, 1003 (1960);24, 317 (1960);25, 537 (1961).

    Article  ADS  MathSciNet  Google Scholar 

  4. G. A. Martynov,Theor. Math. Phys.,22, 59 (1975).

    Article  Google Scholar 

  5. M. E. Fisher,J. Phys. Cond. Matter,8, 9103 (1996).

    Article  ADS  Google Scholar 

  6. G. A. Martynov,Fundamental Theory of Liquids: Method of Distribution Functions, Adam Hilger, Bristol (1992).

    Google Scholar 

  7. G. A. Martynov,Theor. Math. Phys.,22, 184 (1975).

    Article  Google Scholar 

  8. É. A. Arinshtein, B. G. Abrosimov, and G. I. Nazin,Izv. Vyssh. Uchebn. Zaved. Fiz., No. 9, 134 (1969); No. 7, 187 (1969).

    Google Scholar 

  9. L. L. Lee,J. Chem. Phys.,103, 9388 (1995).

    Article  ADS  Google Scholar 

  10. R. Evans, R. J. Leote de Carvalcho, J. Henderson, and D. C. Hoyle,J. Chem. Phys.,100, 591 (1994).

    Article  ADS  Google Scholar 

  11. K. Huang,Statistical Mechanics, Wiley, New York (1963).

    Google Scholar 

  12. L. D. Landau and E. M. Lifshitz,Course of Theoretical Physics [in Russian], Vol. 5,Statistical Physics: Part, 1, Nauka, Moscow (1976); English transl., Pergamon, Oxford (1980).

    Google Scholar 

  13. R. Balescu,Equilibrium and Nonequilibrium Statistical Mechanics, Wiley, New York (1975).

    MATH  Google Scholar 

  14. C. Domb,The Critical Point, Taylor and Francis, London (1996).

    Google Scholar 

  15. H. Stanley,Introduction to Phase Transitions and Critical Phenomena, Clarendon, Oxford (1971).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Chemical Physics, RAS, Moscow, Russia

    G. A. Martynov

Authors
  1. G. A. Martynov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 119, No. 3, pp. 498–516, June, 1999

Rights and permissions

Reprints and permissions

About this article

Cite this article

Martynov, G.A. New insight on an old approach to the theory of critical phenomena. Theor Math Phys 119, 796–810 (1999). https://doi.org/10.1007/BF02557388

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02557388

Keywords

Search

Navigation