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A simple theory of condensation

  • Order, Disorder, and Phase Transition in Condensed System
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Abstract

A simple assumption of the emergence in gas of small atomic clusters consisting of c particles each leads to a phase separation (first-order transition). It reveals itself by the emergence of a “forbidden” density range starting at a certain temperature. Defining this latter value as the critical temperature predicts the existence of an interval with the anomalous heat capacity behavior c p ∝ ΔT −1/c. The value c = 13 suggested in the literature yields the heat capacity exponent α = 0.077.

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References

  1. A. Isihara, Statistical Physics (Academic, New York, 1971).

    Google Scholar 

  2. J. S. Langer, Ann. Phys. (New York) 281, 941 (2000).

    Article  ADS  Google Scholar 

  3. M. E. Fisher, Physics (New York) 3, 255 (1967).

    Google Scholar 

  4. H. Haberland, in Clusters of Atoms and Molecules, Ed. by H. Haberland, (Springer, Berlin, 1995); R. S. Berry, in Phases and Phase Changes of Small Systems: Theory of Atomic and Molecular Clusters, Ed. by J. Jellinek (Springer, Berlin, 1999).

    Google Scholar 

  5. S. Mossa and G. Tarjus, J. Chem. Phys. 119, 8069 (2003).

    Article  ADS  Google Scholar 

  6. J. F. Karnicky, H. H. Reamer, and C. J. Pings, J. Chem. Phys. 64, 4592 (1974); B. E. Kirstein and C. J. Pings, J. Chem. Phys. 66, 5730 (1976).

    Article  ADS  Google Scholar 

  7. A. Voronel, private communication.

  8. R. H. Fowler and E. A. Guggenheim, Statistical Thermodynamics (Cambridge University Press, Cambridge, 1939).

    MATH  Google Scholar 

  9. R. M. Corless, G. H. Gonnet, D. E. G. Hare, D. J. Jeffrey, and D. E. Knuth, Adv. Comput. Math. 5, 329 (1996); B. Hayes, http://www.americanscien-tist.org//template/IssueTOC/issue/701.

    Article  MathSciNet  MATH  Google Scholar 

  10. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics: Part 1 (Nauka, Moscow, 1976; Pergamon, Oxford, 1980), p. 515.

    Google Scholar 

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Correspondence to S. Rabinovich.

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Rabinovich, S. A simple theory of condensation. J. Exp. Theor. Phys. 112, 637–641 (2011). https://doi.org/10.1134/S106377611103006X

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  • DOI: https://doi.org/10.1134/S106377611103006X

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