Variational principle, conjugate convex functions and “the equivalence of ensembles”
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications (1985)
- Volume: 87, Issue: 4, page 57-68
- ISSN: 0246-1501
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topPirlot, Marc. "Variational principle, conjugate convex functions and “the equivalence of ensembles”." Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications 87.4 (1985): 57-68. <http://eudml.org/doc/80627>.
@article{Pirlot1985,
author = {Pirlot, Marc},
journal = {Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications},
keywords = {conjugate convex functions; variational principle for the entropy; equivalence of ensembles},
language = {eng},
number = {4},
pages = {57-68},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {Variational principle, conjugate convex functions and “the equivalence of ensembles”},
url = {http://eudml.org/doc/80627},
volume = {87},
year = {1985},
}
TY - JOUR
AU - Pirlot, Marc
TI - Variational principle, conjugate convex functions and “the equivalence of ensembles”
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 - 57
EP - 68
LA - eng
KW - conjugate convex functions; variational principle for the entropy; equivalence of ensembles
UR - http://eudml.org/doc/80627
ER -
References
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- 6 Lanford III, O.E., Entropy and equilibrium states in clas sical statistical mechanics, in Statistical mechanics and mathematical problems, Ed. A. Lenard, Lect. notes in phys.20, Springer1972.
- 7 Martin-Lof, A., The equivalence of ensembles and Gibbs phase rule for classical lattice systems, J. Stat. Phys.20, 557-571 (1979). MR533528
- 8 Rockafellar, R.T., Convex analysis, Princeton Univ. Press1970. Zbl0193.18401MR274683
- 9 Roos, H., Consequences of convexity: a variational principle for the pressure and related results, Reports math. phys.14, 147-160 (1978). MR527595
- 10 Ruelle, D., Thermodynamic formalism, Addison-Wesley, 1978 Zbl0401.28016MR511655
- 11 Yosida, K., Functional analysis, Springer1966 (2nd printing).
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