Advertisement

The equivalence of ensembles in statistical mechanics

  • J. T. Lewis
  • J. V. Pule
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1095)

Keywords

Canonical Ensemble Convergent Subsequence Rigorous Proof Free Energy Density Particle Number Density 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    W. Feller, An Introduction to Probability Theory and its Applications (to volumes) (Wiley and Sons, New York, 1966).zbMATHGoogle Scholar
  2. 2.
    F.A. Berezin and Ya. G. Sinai, Trudy Mosk. Mat. Obshch. 17, 197–212 (1967).Google Scholar
  3. 3.
    R.L. Dobrushin, Proc. Fifth Berkeley Symposium, III, 73–87 (1967).Google Scholar
  4. 4.
    D. Ruelle, Statistical Mechanics: Rigorous Results (New York, Amsterdam, Benjamin, 1969).Google Scholar
  5. 5.
    R.B. Griffiths, Phys. Rev. 136, 437–439 (1964).MathSciNetCrossRefGoogle Scholar
  6. 6.
    M. van den Berg, J.T. Lewis and J.V. Pulè, J. Math. Anal. and Appl. (in press).Google Scholar
  7. 7.
    R.M. Ziff, G.E. Uhlenbeck and M. Kac, Physics Reports 32C, 169–248 (1977).MathSciNetCrossRefGoogle Scholar
  8. 8.
    J.V. Pulè, D. Phil. Thesis, (Oxford, 1972).Google Scholar
  9. 9.
    J.T. Cannon, Commun. Math. Phys. 29, 89–104 (1973).MathSciNetCrossRefGoogle Scholar
  10. 10.
    J.T. Lewis and J.V. Pulè, Commun. Math. Phys. 36, 1–18 (1974).CrossRefGoogle Scholar
  11. 11.
    H. Araki and E.J. Woods, J. Math. Phys. 4, 637 (1963).MathSciNetCrossRefGoogle Scholar
  12. 12.
    J.T. Lewis, The Free Boson Gas, in Mathematics of Contemporary Physics, Ed. R.F. Streater, (Academic Press, London, 1972).Google Scholar
  13. 13.
    E.B. Davies, Commun. Math. Phys. 28, 69 (1972).CrossRefGoogle Scholar
  14. 14.
    M. Fannes and A. Verbeure, Phys. Lett. 76A, 31 (1980).MathSciNetCrossRefGoogle Scholar
  15. 15.
    E. Buffet and J.V. Pulè, J. Maths. Phys. 24, 1608 (1983).CrossRefGoogle Scholar
  16. 16.
    M. van den Berg, J.T. Lewis and P. de Smedt, J. Stat. Phys. (to appear in Dec., 1984).Google Scholar
  17. 17.
    E.T. Copson, Asymptotic Expansions, (C.U.P., Cambridge, 1965).CrossRefzbMATHGoogle Scholar
  18. 18.
    D. Ruelle, Lectures in Theoretical Physics, Ed. W.E. Brittin and W.R. Chappell, VI, 73, (Univ. of Colorado Press, Boulder, 1964).Google Scholar
  19. 19.
    R.B. Griffiths, J. Math. Phys. 5, 1215 (1964).CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • J. T. Lewis
    • 1
  • J. V. Pule
    • 1
  1. 1.Dublin Institute for Advanced StudiesDublin 4Ireland

Personalised recommendations