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Part of the book series: Fundamental Theories of Physics ((FTPH,volume 93))

Abstract

Science is a collective human enterprise in which we continuously strive to achieve some coherent and rational understandings of how nature, our environs, and ourselves function. A collective effort implies that there is a system of rules and procedures according to which the individuals of the group endeavor to contribute to the general aim, and although such rules and procedures are ever refined and continuously reformulated over time so that they are better suited for the new questions to be answered, their evolution is such that the new ones are inclusive of the old in some manner and form whereas some of the old are simply discarded. The science of statistical mechanics is one of such strands of thoughts and methodologies known to serve the aforementioned aim.

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References

  1. J. C. Maxwell, Phil. Trans. Roy. Soc. London 157, 49 (1867).

    Article  Google Scholar 

  2. L. Boltzmann, Wien. Ber. 66, 275 (1872);

    MATH  Google Scholar 

  3. L. Boltzmann, Wien. Anz. 9, 23 (1872);

    Google Scholar 

  4. L. Boltzmann, Abh. 1, 316 (1872);

    Google Scholar 

  5. L. Boltzmann, Lectures on Gas Theory ( University of California, Berkeley, 1964 ).

    Google Scholar 

  6. J. W. Gibbs, Introduction to Elementary Statistical Mechanics (Long-mans, Green amp; Co., New York, 1928), originally published by Yale University Press in 1902.

    Google Scholar 

  7. S. Chapman, Proc. Roy. Soc. London A 93 1 (1916–17).

    Google Scholar 

  8. D. Enskog, Kinetische Theorie der Vorgänge in mässig verdünnten Gasen ( Almqvist and Wiksells, Uppsala, 1917 ).

    MATH  Google Scholar 

  9. N. N. Bogoliubov, J. Phys. (USSR) 10, 256, 265 (1946); English translation in Studies in Statistical Mechanics, J. de Boer and G. E. Uhlenbeck, eds. ( North-Holland, Amsterdam, 1962 ), Vol. 1.

    Google Scholar 

  10. M. Born and H. S. Green, Proc. Roy. Soc. London A 188, 10 (1946); 190, 455 (1947).

    Article  MathSciNet  MATH  Google Scholar 

  11. J. G. Kirkwood, J. Chem. Phys. 14, 180 (1946). This is the first in a series of papers by Kirkwood and his school. See J. G. Kirkwood, Selected Topics in Statistical Mechanics, edited by I. Oppenheim ( Gordon and Breach, New York, 1967 ).

    Google Scholar 

  12. J. Yvon, La Theorie Statistiques des Fluides et 1’Equation d’Etat ( Herman et Cie, Paris, 1935 ).

    Google Scholar 

  13. M. S. Green, J. Chem. Phys. 20, 1281 (1952); 22, 398 (1954).

    Article  MathSciNet  ADS  Google Scholar 

  14. R. Kubo, J. Phys. Soc. Japan 12, 570 (1957).

    Article  MathSciNet  ADS  Google Scholar 

  15. H. Mori, Phys. Rev. 112, 829 (1958); 115, 298 (1959).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. B. C. Eu, J. Chem. Phys. 73, 2958 (1980).

    Article  MathSciNet  ADS  Google Scholar 

  17. B. C. Eu, Kinetic Theory and Irreversible Thermodynamics ( Wiley, New York, 1992 ).

    Google Scholar 

  18. B. C. Eu, Phys. Rev. E 51, 768 (1995).

    Article  ADS  Google Scholar 

  19. B. C. Eu, J. Chem. Phys. 102, 7169 (1995).

    Article  ADS  Google Scholar 

  20. B. C. Eu, J. Chem. Phys. 103, 10652 (1995).

    Article  ADS  Google Scholar 

  21. R. Clausius, Ann. d. Phys. (Leipzig) 125, 313 (1865).

    Google Scholar 

  22. S. Chapman and T. G. Cowling, The Mathematical Theory of Nonuniform Gases (Cambridge, London, 1970), third edn.

    Google Scholar 

  23. H. Grad, Comm. Pure Appl. Math. 2, 331 (1949).

    Article  MathSciNet  MATH  Google Scholar 

  24. L. D. Landau and E. M. Lifshitz, Statistical Physics ( Pergamon, Oxford, 1958 ).

    MATH  Google Scholar 

  25. N. Bohr, Collected Works (North-Holland, Amsterdam, 1985 ), Vol. 6, p. 373.

    Google Scholar 

  26. W. Heisenberg, Der Teil and das Ganze (R. Piper amp; Co. Verlag, München), Chapter 9.

    Google Scholar 

  27. B. C. Eu, J. Chem. Phys. 106, 2388 (1997).

    Article  ADS  Google Scholar 

  28. F. Schlögl, J. Phys. Chem. Solids 49, 679 (1988).

    Article  ADS  Google Scholar 

  29. E. Wigner, Phys. Rev. 40, 749 (1932).

    Article  ADS  Google Scholar 

  30. L. W. Nordheim, Proc. Roy. Soc. London A 119, 689 (1928).

    Article  ADS  MATH  Google Scholar 

  31. E. A. Uehling and G. E. Uhlenbeck, Phys. Rev., 43, 552 (1933).

    Article  ADS  Google Scholar 

  32. W. G. Hoover, Computational Statistical Mechanics ( Elsevier, Amsterdam, 1991 ).

    Google Scholar 

  33. M. P. Allen and D. J. Tildesley, Computer Simulation of Liquids ( Clarendon, Oxford, 1987 ).

    MATH  Google Scholar 

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© 1998 Springer Science+Business Media Dordrecht

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Eu, B.C. (1998). Introduction. In: Nonequilibrium Statistical Mechanics. Fundamental Theories of Physics, vol 93. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2438-8_1

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  • DOI: https://doi.org/10.1007/978-94-017-2438-8_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5007-6

  • Online ISBN: 978-94-017-2438-8

  • eBook Packages: Springer Book Archive

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