Generalized canonical states
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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topPirlot, 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
top- 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 Dynkin, E.B., "Sufficient statistics and extreme points", The Ann. of Proba., vol. 6, n. 5, 705-730 (1978). Zbl0403.62009MR518321
- 3 Föllmer, H., "On entropy and information gain in random fields", Z. Wahr. verw. Geb.26, 207-217 (1973). Zbl0258.60029MR348829
- 4 Georgii, H.O., "Two remarks on extremal equilibrium states", Commun. math. Phys.32, 107-118 (1973). MR426763
- 5 Georgii, H.O., "Stochastische Felder und ihre Anwendung auf Interaktionssysteme", Lecture Notes, Institut für Angewandte Mathematik der Universität Heidelberg, 1974.
- 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 Griffiths, R.B., Ruelle, D., "Strict convexity ("continuity") of the pressure in lattice systems", Commun. math. Phys.23, 169-175 (1971). MR297281
- 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 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 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 Preston, C., "Random fields", Lecture Notes in Math.534, Berlin- Heidelberg-New York, Springer, 1976. Zbl0335.60074MR448630
- 12 Preston, C., "Canonical and microcanonical Gibbs states ", Z. Wahr. verw. Geb.46, 125-158 (1979). Zbl0398.60099MR516736
- 13 Ruelle, D., "Statistical mechanics. Rigourous results", Benjamin, New York, 1969. Zbl0177.57301MR289084
- 14 Thompson, R.L., "Equilibrium states on thin energy shells", Memoirs Amer. Math. Soc.150 (1974). Zbl0327.60068MR376063
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