, Volume 7, Issue 1, pp 17–27 | Cite as

Gas-liquid phase transition

  • A C Biswas
Statistical Physics


A theorem has been proved giving a sufficient condition for a first order phase transition in a gas. The corresponding fugacity expansions for the isotherms in the different phases have been derived.


Partition function Massieu-Planck function thermodynamic stability grand partition function first order phase transition analytic continuation thermodynamic limit isotherms 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Biswas A C 1973J. Stat. Phys. 7 131CrossRefADSGoogle Scholar
  2. Copson E T 1935Introduction to the theory of functions of a complex variable (see Secs 8.3 and 8.31)Google Scholar
  3. Cailletet L and Mathias E 1886C.R. Acad. Sci. 102 1202Google Scholar
  4. Groeneveld J 1973J. Stat. Phys. 9 183CrossRefADSGoogle Scholar
  5. Katsura S 1963Adv. Phys. 12 391CrossRefADSGoogle Scholar
  6. Lee T D and Yang C N 1952Phys. Rev. 87 404MATHCrossRefADSMathSciNetGoogle Scholar
  7. Mayer J E and Mayer M G 1940Statistical Mechanics (New York: Wiley)MATHGoogle Scholar
  8. Münster A 1969Statistical Thermodynamics Vol. 1 (New York: Academic Press)Google Scholar
  9. Ruelle D 1969Statistical Mechanics (New York: Benjamin)MATHGoogle Scholar
  10. Titchmarsh E C 1939Theory of Functions 2nd ed. (London)Google Scholar
  11. Whittaker E T and Watson G N 1963A Course of Modern Analysis (Cambridge University Press)Google Scholar

Copyright information

© the Indian Academy of Sciences 1975

Authors and Affiliations

  • A C Biswas
    • 1
  1. 1.Tata Institute of Fundamental ResearchBombay

Personalised recommendations