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On the gas-liquid phase transition

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Abstract

A new approach to the problem of the gas-liquid phase transition, based on the Mayer cluster expansion of the partition function, is proposed. It is shown that the necessary and sufficient condition for phase transition to occur is that there exist a temperatureT= Tc > 0 such that forTT c, all theb l (except perhaps a finite number of them) are positive, where theb l, are the cluster integrals (as defined by Mayer) in the thermodynamic limit. Explicit expressions for the isotherms for gas-saturated vapor and liquid phases are given.

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References

  1. G. E. Uhlenbeck,Selected Topics in Statistical Mechanics in Statistical Physics (Brandeis Summer Institute, 1962), K. W. Ford, ed., Benjamin, New York, 1963, and the references therein.

    Google Scholar 

  2. A. Munster,Statistical Thermodynamics, Vol. 1, Academic,. New York, 1969.

    Google Scholar 

  3. J. E. Mayer and M. G. Mayer,Statistical Mechanics, Wiley, New York, 1940.

    Google Scholar 

  4. T. D. Lee and C. N. Yang,Phys. Rev. 87:404 (1952).

    Google Scholar 

  5. J. Groeneveld,Phys. Lett. 3:50 (1962).

    Google Scholar 

  6. E. C. Titchmarsh,Theory of Functions, 2nd ed., London, 1939.

  7. David Ruelle,Statistical Mechanics, Rigorous Results, Benjamin, New York, 1969.

    Google Scholar 

  8. L. Van Hove,Physica 15:951 (1959); D. Ruelle,Helv. Phys. Acta 36:183 (1963); M. E. Fisher,Arch. Rat. Mech. Anal. 17:377 (1964); J. van der Linden,Physica 32:642 (1966).

    Google Scholar 

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Biswas, A.C. On the gas-liquid phase transition. J Stat Phys 7, 131–142 (1973). https://doi.org/10.1007/BF01024211

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  • DOI: https://doi.org/10.1007/BF01024211

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