Generalized canonical states

Marc Pirlot

Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications (1985)

  • Volume: 87, Issue: 4, page 69-91
  • ISSN: 0246-1501

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Pirlot, Marc. "Generalized canonical states." Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications 87.4 (1985): 69-91. <http://eudml.org/doc/80628>.

@article{Pirlot1985,
author = {Pirlot, Marc},
journal = {Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications},
keywords = {equilibrium statistical mechanics on a lattice; canonical Gibbs states; variational techniques},
language = {eng},
number = {4},
pages = {69-91},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {Generalized canonical states},
url = {http://eudml.org/doc/80628},
volume = {87},
year = {1985},
}

TY - JOUR
AU - Pirlot, Marc
TI - Generalized canonical states
JO - Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
PY - 1985
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 87
IS - 4
SP - 69
EP - 91
LA - eng
KW - equilibrium statistical mechanics on a lattice; canonical Gibbs states; variational techniques
UR - http://eudml.org/doc/80628
ER -

References

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  1. 1 Aizenman, M., Goldstein, S., Lebowitz, J.-L., "Conditional equilibrium and the equivalence of microcanonical and grand-canonical ensembles in the thermodynamic limit", Commun. math. Phys.62, 279-302 (1978). Zbl0391.60097MR507782
  2. 2 Dynkin, E.B., "Sufficient statistics and extreme points", The Ann. of Proba., vol. 6, n. 5, 705-730 (1978). Zbl0403.62009MR518321
  3. 3 Föllmer, H., "On entropy and information gain in random fields", Z. Wahr. verw. Geb.26, 207-217 (1973). Zbl0258.60029MR348829
  4. 4 Georgii, H.O., "Two remarks on extremal equilibrium states", Commun. math. Phys.32, 107-118 (1973). MR426763
  5. 5 Georgii, H.O., "Stochastische Felder und ihre Anwendung auf Interaktionssysteme", Lecture Notes, Institut für Angewandte Mathematik der Universität Heidelberg, 1974. 
  6. 6 Georgii, H.O., "Canonical Gibbs states, their relation to Gibbs states and applications to two-valued Markov chains", Z. Wahr. verw. Geb.32, 277-300 (1975). Zbl0296.60075MR388581
  7. 7 Griffiths, R.B., Ruelle, D., "Strict convexity ("continuity") of the pressure in lattice systems", Commun. math. Phys.23, 169-175 (1971). MR297281
  8. 8 Lanford, O.E., Ruelle, D., "Observables at infinity and states with short range correlations in statistical mechanics", Commun. math. Phys.13, 194-215 (1969). MR256687
  9. 9 Lanford, O.E., "Entropy and equilibrium states in classical statistical mechanics ", in Statistical Mechanics and Mathematical Problems, Lecture Notes in Physics, vol. 20, Springer (1972). 
  10. 10 Martin-Löf, A., "The equivalence of ensembles and Gibbs phase rule for classical lattice systems", J. Stat. Phys., vol. 20, n. 5, 557-569 (1979). MR533528
  11. 11 Preston, C., "Random fields", Lecture Notes in Math.534, Berlin- Heidelberg-New York, Springer, 1976. Zbl0335.60074MR448630
  12. 12 Preston, C., "Canonical and microcanonical Gibbs states ", Z. Wahr. verw. Geb.46, 125-158 (1979). Zbl0398.60099MR516736
  13. 13 Ruelle, D., "Statistical mechanics. Rigourous results", Benjamin, New York, 1969. Zbl0177.57301MR289084
  14. 14 Thompson, R.L., "Equilibrium states on thin energy shells", Memoirs Amer. Math. Soc.150 (1974). Zbl0327.60068MR376063

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