Foundations of Physics

, Volume 4, Issue 4, pp 423–443 | Cite as

Thermodynamics as a science of symmetry

  • Herbert Callen
Article

Abstract

A new interpretation of thermodynamics is advanced; thermodynamics is the study of those properties of macroscopic matter that follow from the symmetry properties of physical laws, mediated through the statistics of large systems.

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References

  1. 1.
    J. B. Boyling,Comm. Math. Phys. 10, 52 (1968).Google Scholar
  2. 2.
    P. T. Landsberg,Pure Appl. Chem. 22, 215 (1970).Google Scholar
  3. 3.
    L. Tisza,Generalized Thermodynamics (MIT Press, Cambridge, Massachussets, 1966).Google Scholar
  4. 4.
    H. Callen,Thermodynamics (Wiley, New York, 1960).Google Scholar
  5. 5.
    C. Truesdale,Rational Thermodynamics (McGraw-Hill, New York, 1969).Google Scholar
  6. 6.
    E. L. Hill,Rev. Mod. Phys. 23, 253 (1951).Google Scholar
  7. 7.
    C. Palmieri and B. Vitale,Nuovo Cimento A 66, 299 (1970).Google Scholar
  8. 8.
    Joe Rosen,Ann. Phys. 69, 349 (1972).Google Scholar
  9. 9.
    E. P. Wigner,Symmetries and Reflections (Indiana Univ. Press, Bloomington, Indiana, 1967).Google Scholar
  10. 10.
    A. Aharony and Y. Ne'eman,Int. J. Theoret. Phys. 3, 437 (1970).Google Scholar
  11. 11.
    A. A. Grib, E. V. Damaskinskii, and V. M. Maksimov,Usp. Fiz. Nauk 102, 587 (1970) [English transl.:Soviet Phys.—Uspekhi 13, 798 (1971)].Google Scholar
  12. 12.
    H. Wagner,Z. Physik 195, 273 (1966).Google Scholar
  13. 13.
    P. W. Anderson,Science 177, 393 (1972).Google Scholar
  14. 14.
    R. V. Lange,Phys. Rev. 146, 301 (1966).Google Scholar
  15. 15.
    P. T. Landsberg and others, inA Critical Review of Thermodynamics, Ed. by E. B. Stuart, B. Gal-Or, and A. J. Brainard (Mono Book Corp., Baltimore, Maryland, 1970).Google Scholar
  16. 16.
    H. Callen and G. Horwitz,Am. J. Phys. 39, 938 (1971).Google Scholar
  17. 17.
    R. B. Woodward and R. Hoffmann,The Conservation of Orbital Symmetry (Verlag Chemie, Wienheim and Academic Press, New York, 1970).Google Scholar
  18. 18.
    B. I. Halperin and P. C. Hohenberg,Phys. Rev. 188, 898 (1969).Google Scholar
  19. 19.
    P. C. Martin, O. Parodi, and P. S. Pershan,Phys. Rev. A 6, 2401 (1972).Google Scholar
  20. 20.
    W. Pauli,Sommerfeld Festschrift, Ed. by P. Debye (Hirzel, Leipzig, 1928).Google Scholar
  21. 21.
    N. G. van Kampen,Physica 20, 603 (1954).Google Scholar
  22. 22.
    W. Heitler,Ann. Inst. H. Poincaré 15, 67 (1956).Google Scholar
  23. 23.
    F. Coester,Phys. Rev. 84, 1259 (1951).Google Scholar
  24. 24.
    R. H. Swendsen, Private communication.Google Scholar
  25. 25.
    B. J. Alder and T. E. Wainwright,Phys. Rev. A 1, 18 (1970).Google Scholar
  26. 26.
    Ja. Sinai,Statistical Mechanics Foundations and Applications, Proceedings of the I.U.P.A.P. Meeting, Copenhagen, 1966, Ed. by T. A. Bak (Benjamin, New York, 1967);Russian Math. Sur. 25, 137 (1970).Google Scholar
  27. 27.
    B. Gal-Or,Science 176, 11 (1972).Google Scholar
  28. 28.
    K. G. Wilson,Phys. Rev. B 4, 3174 (1971);4, 3184 (1971).Google Scholar
  29. 29.
    L. D. Landau,Physik Z. Sowjetunion 11, 545 (1937).Google Scholar
  30. 30.
    L. D. Landau and E. M. Lifshitz,Statistical Physics (Pergamon Press, London, 1962).Google Scholar
  31. 31.
    E. Stanley,Introduction to Phase Transitions and Critical Phenomena (Oxford Univ. Press, New York and Oxford, 1971).Google Scholar
  32. 32.
    A. Michelson (Technion, Haifa), private communication.Google Scholar
  33. 33.
    C. Haas,Phys. Rev. 140A, 863 (1965).Google Scholar
  34. 34.
    V. L. Ginzburg and L. P. Landau,Zh. Eksperim. i Teor. Fiz. 20, 1064 (1950).Google Scholar
  35. 35.
    E. Schrödinger,Statistical Thermodynamics (Cambridge, 1936).Google Scholar
  36. 36.
    B. Widom,J. Chem. Phys. 43, 3892, 3898 (1965).Google Scholar
  37. 37.
    H. Weyl,The Theory of Groups and Quantum Mechanics, Trans. by H. P. Robertson (Methuen, London, 1931 and Dover, New York, 1950).Google Scholar
  38. 38.
    R. B. Griffiths, inA Critical Review of Thermodynamics, Ed. by E. B. Stuart, B. Gal-Or, and A. J. Brainard (Mono Book Corp., Baltimore, Maryland, 1970).Google Scholar
  39. 39.
    H. Callen, inModern Developments in Thermodynamics, Ed. by B. Gal-Or (Keter Publishing House, Jerusalem, 1973).Google Scholar
  40. 40.
    L. Onsager,Phys. Rev. 37, 405 (1931);38, 2265 (1931).Google Scholar
  41. 41.
    H. Callen and T. Welton,Phys. Rev. 83, 34 (1951).Google Scholar
  42. 42.
    R. Kubo,J. Phys. Soc. Japan 12, 570 (1957).Google Scholar
  43. 43.
    K. M. Case,Transport Theory and Statistical Physics 2(2), 129 (1972).Google Scholar
  44. 44.
    W. Bernard and H. Callen,Rev. Mod. Phys. 31, 1017 (1959);Phys. Rev. 118, 1466 (1960).Google Scholar

Copyright information

© Plenum Publishing Corporation 1974

Authors and Affiliations

  • Herbert Callen
    • 1
    • 2
  1. 1.The Racah Institute of PhysicsThe Hebrew University of JerusalemIsrael
  2. 2.Department of PhysicsUniversity of PennsylvaniaPhiladelphia

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