Skip to main content
Log in

Equilibrium states for a one dimensional lattice gas

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

The thermodynamic equilibrium state can be defined directly for an infinite system via an equilibrium condition or via the variational principle. Both definitions are used to calculate the equilibrium state for a one dimensional lattice gas with finite range interactions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ruelle, D.: Commun. math. Phys.5, 324 (1967).

    Google Scholar 

  2. Haag, R., Hugenholtz, N. M., Winnink, M.: Commun. math. Phys.5, 215 (1967).

    Google Scholar 

  3. Robinson, D. W.: Commun. math. Phys.7, 337 (1968).

    Google Scholar 

  4. Lanford, O. E., Ruelle, D.: Commun. math. Phys.13, 194 (1969).

    Google Scholar 

  5. Dobrushin, R. L.: Funkts. Analiz i ego Pril.2, 31, 44 (1968).

    Google Scholar 

  6. Ginibre, J.: On some recent work of Dobrushin, Colloque International du C.N.R.S., Mai 1969, Gif-sur-Yvette.

  7. Brascamp, H. J.: Commun. math. Phys.18, 82 (1970).

    Google Scholar 

  8. Gallavotti, G., Miracle-Sole, S.: Commun. math. Phys.5, 317 (1967).

    Google Scholar 

  9. Ruelle, D.: Statistical mechanics. New York-Amsterdam: Benjamin 1969.

    Google Scholar 

  10. —— In: Fundamental problems in statistical mechanics, ed. E. G. D. Cohen. Amsterdam: North Holland 1968.

    Google Scholar 

  11. Kramers, H. A., Wannier, G. H.: Phys. Rev.60, 252 (1941).

    Google Scholar 

  12. Baur, M., Nosanov, L.: J. Chem. Phys.37, 153 (1962).

    Google Scholar 

  13. Bellman, R.: Introduction to matrix analysis. New York: Mc Graw-Hill 1960.

    Google Scholar 

  14. Robinson, D. W., Ruelle, D.: Commun. math. Phys.5, 288 (1967).

    Google Scholar 

  15. Mc Millan, B.: Ann. math. Statistics24, 196 (1953).

    Google Scholar 

  16. Gallavotti, G., Miracle-Sole, S.: Commun. math. Phys.7, 274 (1968).

    Google Scholar 

  17. Bethe, H. A.: Proc. Roy. Soc. (London) A150, 552 (1935).

    Google Scholar 

  18. Huang, K.: Statistical mechanics, Chapter 16.4. New York: Wiley 1963.

    Google Scholar 

  19. Hijmans, J., de Boer, J.: Physica21, 471, 485, 499 (1955).

    Google Scholar 

  20. -- Thesis, Amsterdam (1956).

  21. Ruelle, D.: Commun. math. Phys.9, 267 (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brascamp, H.J. Equilibrium states for a one dimensional lattice gas. Commun.Math. Phys. 21, 56–70 (1971). https://doi.org/10.1007/BF01646484

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01646484

Keywords

Navigation