A variational principle for the equilibrium of hard sphere systems

G. Gallavotti; S. Miracle-Sole

Annales de l'I.H.P. Physique théorique (1968)

  • Volume: 8, Issue: 3, page 287-299
  • ISSN: 0246-0211

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Gallavotti, G., and Miracle-Sole, S.. "A variational principle for the equilibrium of hard sphere systems." Annales de l'I.H.P. Physique théorique 8.3 (1968): 287-299. <http://eudml.org/doc/75593>.

@article{Gallavotti1968,
author = {Gallavotti, G., Miracle-Sole, S.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {3},
pages = {287-299},
publisher = {Gauthier-Villars},
title = {A variational principle for the equilibrium of hard sphere systems},
url = {http://eudml.org/doc/75593},
volume = {8},
year = {1968},
}

TY - JOUR
AU - Gallavotti, G.
AU - Miracle-Sole, S.
TI - A variational principle for the equilibrium of hard sphere systems
JO - Annales de l'I.H.P. Physique théorique
PY - 1968
PB - Gauthier-Villars
VL - 8
IS - 3
SP - 287
EP - 299
LA - eng
UR - http://eudml.org/doc/75593
ER -

References

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  1. [1] D. Ruelle, A variational formulation of equilibrism statistical mechanics, Comm. Math. Phys., t. 5, 1967, p. 324. Zbl0154.46502MR217610
  2. [2] G. Gallavotti and S. Miracle-Sole, Statistical mechanics of lattice systems, Comm. Math. Phys., t. 5, 1967, p. 317. Zbl0154.46501MR218084
  3. [3] C.N. Yang and T.D. Lee, Statistical theory of equations of state and phase transitions I, Phys. Rev., t. 87, 1952, p. 404. Zbl0048.43305MR53028
  4. [4] M.E. Fisher, The free energy of a macroscopic system, Arch. Rat. Mech. Annals, t. 5, 1964, p. 377. MR172644
  5. [5] M.E. Fisher, Correlation functions and the coexistence of phases, J. Math. Phys., t. 6, 1965, p. 1643. MR186254
  6. [6] D. Ruelle, The states of classical statistical mechanics. J. Math. Phys., t. 8, 1967, p. 1657. Zbl0154.46503
  7. [7] D. Robinson and D. Ruelle, Mean entropy of states in classical statistical mechanics, Comm. Math. Phys., t. 5, 1967, p. 288. Zbl0144.48205MR225553
  8. [8] H. Takahashi, A simple method for treating statistical mechanics of one dimensional systems, Proc. Phys. Soc. Japan, t. 24, 1942, p. 60. 
  9. [9] L. Van Hove, Sur l'intégrale de configuration pour les systèmes de particules à une dimension, Physica, t. 16, 1950, p. 137. Zbl0037.41201MR36171
  10. [10] Z.W. Salsburg, R.W. Zwanzig and J.G. Kirkwood, Molecular distribution functions in a one dimensional fluid, J. Chem. Phys., t. 21, 1953, p. 1098. 
  11. [11] D.W. Robinson, Statistical mechanics of quantum spin systems, Comm. Math. Phys., t. 6, 1967, p. 151. Zbl0181.56902MR218085
  12. [12] L. Van Hove, Quelques propriétés générales de l'intégrale de configuration pour les systèmes de particules en interaction, Physica, t. 15, 1949, p. 951. Zbl0036.40602

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