Abstract
It is shown that a system made up of nuclei and electrons, the constituents of ordinary matter, has a well-defined statistical-mechanically computed free energy per unit volume in the thermodynamic (bulk) limit. This proves that statistical mechanics, as developed by Gibbs, really leads to a proper thermodynamics for macroscopic systems.
Work supported by Air Force Office of Scientific Research, U. S. Air Force under Grant No. AFOSR 681416.
Work supported by National Science Foundation Grant No. GP-9414.
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References
These developments are clearly expounded in M. E. Fisher, Arch. Ratl. Mech. Anal. 17, 377 (1964)
D. Ruelle, Statistical Mechanics (W. A. Benjamin, Inc., New ’York, 1969). For a synopsis, see also J. L. Lebowitz, Ann. Rev. Phys. Chem. 19, 389 (1968).
R. B. Griffiths. Phys. Rev. 176, 655 (1968).
R. B. Griffiths. footnote 6a in A. Lenard and F. J. Dyson [J. Math. Phys. 9, 698 (1968)].
O. Penrose, in Statistical Mechanics, Foundations and Applications, edited by T. Bak (W. A. Benjamin, Inc., New York, 1967 ), p. 98.
E. H. Lieb and J. L. Lebowitz, “The Constitution of Matter,” to be published.
L. Onsager, J. Phys. Chem. 43, 189 (1939)
M. E. Fisher and D. Ruelle, J. Math. Phys. 7, 260 (1966).
F. J. Dyson and A. Lenard, J. Math. Phys. 8, 423 (1967).
A. Lenard and F. J. Dyson, J. Math. Phys. 9, 698 (1968).
F. J. Dyson, J. Math. Phys. 8, 1538 (1967).
R. B. Griffiths, J. Math. Phys. 6, 1447 (1965).
K. Symanzik, J. Math. Phys. 6, 1155 (1965).
I. Newton, in Mathematical Principles, translated by A. Motte, revised by F. Cajori (University of California Press, Berkeley, Calif., 1934 ), Book 1, p. 193, propositions 71, 76.
W. Feller, An Introduction to Probability Theory and Its Applications (J. Wiley and Sons, New York, 1957), 2nd ed. Vol. 1, p. 290.
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Lebowitz, J.L., Lieb, E.H. (1969). Existence of Thermodynamics for Real Matter with Coulomb Forces. In: Nachtergaele, B., Solovej, J.P., Yngvason, J. (eds) Statistical Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10018-9_2
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DOI: https://doi.org/10.1007/978-3-662-10018-9_2
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