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On the equation of state of classical one-component systems with long-range forces

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Abstract

Several definitions of the “pressure” are introduced for one-component systems and shown to be nonequivalent in the presence of a rigid neutralizing background. Relations between these pressures are derived for finite and infinite systems; these relations depend on the asymptotic behavior of the force at infinity, with the Coulomb force at the borderline between different properties. It is argued that only one of those definitions is physically acceptable and its properties are discussed in relation to the asymptotic behavior of the force. It is seen in particular that a knowledge of the state of the infinite system is not sufficient to determine its thermodynamic properties. The results are illustrated by some typical examples.

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References

  1. E. P. Wigner,Trans. Faraday Soc. 34:678 (1938).

    Google Scholar 

  2. C. C. Grimes and G. Adams,Phys. Rev. Lett. 42:795 (1979).

    Google Scholar 

  3. R. C. Gann, S. Chakravarty, and G. V. Chester,Phys. Rev. B 42:36 (1979).

    Google Scholar 

  4. R. M. Morf,Phys. Rev. Lett. 43:931 (1979).

    Google Scholar 

  5. H. Kunz,Ann. Phys. (N.Y.) 85:303 (1974).

    Google Scholar 

  6. E. H. Lieb and H. Narnhofer,J. Stat. Phys. 12:291 (1975).

    Google Scholar 

  7. R. R. Sari and D. Merlini,J. Stat. Phys. 14:91 (1976).

    Google Scholar 

  8. Ch. Gruber, Ch. Lugrin, and Ph. A. Martin,J. Stat. Phys., to appear.

  9. M. Navet, E. Jamin, E. Bonomi, and M. R. Feix, in preparation.

  10. M. Navet, E. Jamin, and M. R. Feix,J. Phys. (Paris) Lett., to appear.

  11. Ph. Choquard,HP A 51:333 (1978).

    Google Scholar 

  12. J. Heinrichs,Phys. Stat. Sol. (b) 32:185 (1979).

    Google Scholar 

  13. E. Bonomi,Strongly Coupled Plasma (Plenum Press, 1978), Vol. 36, p. 521.

  14. P. Favre, Thesis, Ecole Polytechnique Fédérale de Lausanne (1979).

  15. Ph. Choquard, inRecent Advances in Statistical Mechanics (1979 Brasov Summer School), to appear.

  16. R. Sari. D. Merlini, and R. Calinon,J. Phys. A 9:1539 (1978).

    Google Scholar 

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Authors and Affiliations

  1. Laboratoire de Physique Theorique, Ecole Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Ph. Choquard, P. Favre & Ch. Gruber

Authors
  1. Ph. Choquard
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  2. P. Favre
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  3. Ch. Gruber
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Additional information

For example, for two-dimensional systems with three-dimensional Coulomb interaction see refs. 2–4.

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Choquard, P., Favre, P. & Gruber, C. On the equation of state of classical one-component systems with long-range forces. J Stat Phys 23, 405–442 (1980). https://doi.org/10.1007/BF01011574

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  • DOI: https://doi.org/10.1007/BF01011574

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