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Two solutions for the Ornstein-Zernike equation and critical phenomena in liquids

  • Chemical Thermodynamics and Thermochemistry
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Abstract

It is shown that the Ornstein-Zernike equation, the equivalent of the Gibbs distribution, has two simultaneous solutions: analytical and nonanalytical. The analytical solution disappears at a critical point and only the nonanalytical solution remains (which, however, is not zero as we move away from the critical point). It is found that pressure and isothermal compressibility also have two components away from critical point: analytical and nonanalytical.

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References

  1. G. A. Martynov, Classical Statistical Mechanics (Fundamental Theories of Physics) (Intellekt, Moscow, 2011; Springer, 1997).

    Google Scholar 

  2. A. J. Schultz and D. A. Kofke, Mol. Phys. 107, 2309 (2009).

    Article  CAS  Google Scholar 

  3. T. Morita and K. Hiroike, Prog. Theor. Phys. 23, 100 (1960).

    Google Scholar 

  4. T. Morita and K. Hiroike, Prog. Theor. Phys. 24, 317 (1960).

    Article  Google Scholar 

  5. T. Morita and K. Hiroike, Prog. Theor. Phys. 25, 537 (1961).

    Article  Google Scholar 

  6. G. A. Martynov, Teor. Mat. Fiz. 22, 85 (1975).

    Google Scholar 

  7. G. A. Martynov, Mol. Phys. 42, 329 (1981).

    Article  CAS  Google Scholar 

  8. G. A. Martynov, J. Chem. Phys. 129, 244509 (2008).

    Article  CAS  Google Scholar 

  9. G. A. Martynov, Phys. Rev. E 79, 031119 (2009).

    Article  CAS  Google Scholar 

  10. Domb Cyril, The Critical Point (Taylor Francis, London, Bristol, 1996).

    Google Scholar 

  11. V. S. Vorob’ev, J. Phys. Chem. B 113, 3521 (2009).

    Article  Google Scholar 

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Correspondence to G. A. Martynov.

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Original Russian Text © G.A. Martynov, 2012, published in Zhurnal Fizicheskoi Khimii, 2012, Vol. 86, No. 7, pp. 1155–1161.

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Martynov, G.A. Two solutions for the Ornstein-Zernike equation and critical phenomena in liquids. Russ. J. Phys. Chem. 86, 1041–1047 (2012). https://doi.org/10.1134/S0036024412070175

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  • DOI: https://doi.org/10.1134/S0036024412070175

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