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Influence of density fluctuations on the equation of state

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Abstract

The influence of inhomogeneity of particle density on the equation of state has been considered in the approximation of homogeneous fluctuations. The formula for the relative mean square fluctuation has been derived taking into account intermolecular interaction. It has been shown that the density fluctuations cannot be neglected near the coexistence curve. This curve has been obtained without recourse to the Maxwell construction; unphysical parts of the van der Waals isotherms in fact never appear in the theory. Experimental parameters have not been used.

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References

  1. R. Kubo,Statistical Mechanics, North-Holland, Amsterdam (1965).

    Google Scholar 

  2. L. van Hove,Physica 15:951 (1949).

    Google Scholar 

  3. J. E. Mayeret al., J. Chem. Phys. 5:67, 74 (1937);6:87, 101 (1938).

    Google Scholar 

  4. M. Smoluchowski,Boltzmann Festschrift, Barth Verlag, Leipzig (1904), p. 626.

    Google Scholar 

  5. M. Smoluchowski,Ann. d. Phys. 25:205 (1908).

    Google Scholar 

  6. S. R. de Groot and P. Mazur,Nonequilibrium Thermodynamics, North-Holland, Amsterdam (1962).

    Google Scholar 

  7. L. D. Landau and E. M. Liftshitz,Statistical Physics, Pergamon Press, London (1958).

    Google Scholar 

  8. D. D. Fitts,Nonequilibrium Thermodynamics, McGraw-Hill, New York (1962).

    Google Scholar 

  9. R. Brout,Phase Transitions, University of Brussels, New York-Amsterdam (1965).

    Google Scholar 

  10. R. D. Present,Kinetic Theory of Gases, McGraw-Hill, New York (1958).

    Google Scholar 

  11. J. Kociński,Acta Phys. Polon. 30:591 (1966).

    Google Scholar 

  12. M. Smoluchowski,Wolfskehl Lectures, Teubner, Leipzig (1914), p. 89.

    Google Scholar 

  13. S. Chandrasekhar,Rev. Mod. Phys. 15:1 (1943).

    Google Scholar 

  14. J. P. Terlecki,Statistical Physics, Moscow (1966) [in Russian].

  15. T. L. Hill,Statistical Mechanics, McGraw-Hill, New York (1956).

    Google Scholar 

  16. T. L. Hill,Statistical Thermodynamics, Addison-Wesley, London (1962).

    Google Scholar 

  17. A. Einstein,Ann. d. Phys. 33:1975 (1910).

    Google Scholar 

  18. J. Kociński, L. Wojtczak, and B. Mrygoń,Acta Phys. Polon. A43:425 (1973).

    Google Scholar 

  19. J. E. Lennard-Jones and A. F. Devonshire,Proc. Roy. Soc. A163:53 (1937).

    Google Scholar 

  20. F. Cernushi and H. Eyring,J. Chem. Phys. 7:547 (1939).

    Google Scholar 

  21. H. H. Peek and T. L. Hill,J. Chem. Phys. 18:1252 (1950).

    Google Scholar 

  22. S. Ono,Mem. Faculty Eng., Kyushu Univ., Japan 10:190 (1947).

    Google Scholar 

  23. J. E. Mayer and G. Careri,J. Chem. Phys. 20:1001 (1952).

    Google Scholar 

  24. N. G. van Kampen,Phys. Rev. 135:A362 (1964).

    Google Scholar 

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Mrygoń, B. Influence of density fluctuations on the equation of state. J Stat Phys 10, 471–484 (1974). https://doi.org/10.1007/BF01020402

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  • DOI: https://doi.org/10.1007/BF01020402

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