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Enrico Fermis’s contribution to non-linear systems: The influence of an unpublished article

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Enrico Fermi

Abstract

Among Fermi’s scientific articles “Studies of non-linear problems” , written in collaboration with J. Pasta and S. Ulam, is considered as being particularly important [1]. Following a common procedure among the people working in dynamical systems we shall refer to this work using the acronym Fpu. The article, written as an internal report of the Los Alamos Laboratories, was completed in May 1955, after Fermi’s death, but appeared for the first time in 1965, as contribution N. 266 to “Note e Memorie” (Collected Papers), an anthology of Fermi’s writings edited among others by Emilio Segrè and published jointly by the Accademia dei Lincei and the University of Chicago [2].

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References

  1. Fermi E., Pasta J. and Ulam S., Los Alamos Sci. Lab. Rep. LA-1940 (1955).

    Google Scholar 

  2. Fermi E., Note e Memorie (Collected Papers) (Accademia Nazionale dei Lincei and The University of Chicago Press) 1962, 1965.

    Google Scholar 

  3. Segrè E., Enrico Fermi Physicist (The University of Chicago Press) 1970.

    Google Scholar 

  4. Cercignani C., Ludwig Boltzmann e la Meccanica Statistica (La Goliardica Pavese, Pavia) 1997.

    MATH  Google Scholar 

  5. Arnold V. I. and Avez A., Ergodic Problems of Classical Mechanics (Benjamin, New York) 1968.

    Google Scholar 

  6. Khinchin A. J., Mathematical Foundation of Statistical Mechanics (Dover, New York) 1949.

    Google Scholar 

  7. Landau L. D. and Lifschitz E. M., Statistical Physics (Pergamon Press) 1969.

    Google Scholar 

  8. Truesdell C., Ergodic Theory in Classical Statistical Mechanics in Proceedings of the International School of Physics Enrico Fermi, Course XVI, edited by Caldirola P. (Academic Press, London) 1961.

    Google Scholar 

  9. Poincaré H., Acta Math., 13 (1890) 1.

    MATH  Google Scholar 

  10. Fermi E., Phys. Zeits., 24 (1923) 261;

    MATH  Google Scholar 

  11. translated into Italian in Fermi E., Nuovo Cimento, 26 (1923) 105;

    Article  Google Scholar 

  12. Fermi E., Nuovo Cimento, 25 (1923) 267.

    Article  Google Scholar 

  13. Kolmogorov A. N., Dokl. Akad. Nauk SSSR, 98 (1954) 527.

    MathSciNet  MATH  Google Scholar 

  14. Arnold V. I., Russ. Math. Surv., 18 (1963) 9.

    Article  Google Scholar 

  15. Moser J. K., Nachr. Akad. Wiss. Göttingen Math. Phys. kl., 2 (1962) 1.

    Google Scholar 

  16. Izrailev F. M. and Chirikov B. V., Dokl. Akad. Nauk SSSR, 166 (1966) 57.

    Google Scholar 

  17. Bocchieri P., Scotti A., Bearzi B. and Loinger A., Phys. Rev. A, 2 (1970) 2013;

    Article  ADS  Google Scholar 

  18. Casartelli M., Casati G., Diana E., Galgani L. and Scotti A., Theor. Math. Phys., 29 (1976) 205;

    Google Scholar 

  19. Livi R., Pettini M., Ruffo S., Sparpaglione M. and Vulpiani A., Phys. Rev. A, 31 (1985) 1039.

    Article  ADS  Google Scholar 

  20. Benettin G., in Molecular-Dynamics Simulation of Statistical-Mechanical Systems, edited by Ciccotti G. and Hoover W. G. (North-Holland, Amsterdam) 1986.

    Google Scholar 

  21. Benettin G. and Tenenbaum A., Phys. Rev. A, 28 (1983) 3020.

    Article  ADS  Google Scholar 

  22. Kantz H., Physica D, 39 (1989) 322;

    Article  MathSciNet  ADS  MATH  Google Scholar 

  23. Kantz H., Livi R. and Ruffo S., J. Stat. Phys., 76 (1994) 627.

    Article  MathSciNet  ADS  Google Scholar 

  24. Casetti L., Cerruti-Sola M., Pettini M. and Cohen E. G. D., Phys. Rev. E, 55 (1997) 6566.

    Article  MathSciNet  ADS  Google Scholar 

  25. De Luca J., Lichtenberg A. J. and Ruffo S., Phys. Rev. E, 60 (1999) 3781.

    Article  ADS  Google Scholar 

  26. Ruffo S., in Chance in Physics: Foundations and Perspectives, edited by Bricmont J. et al. (Springer-Verlag, Berlin) 2000.

    Google Scholar 

  27. Alabiso C. and Casartelli M., J. Phys. A, 33 (2000) 831.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  28. Livi R., Pettini M., Ruffo S. and Vulpiani A., J. Stat. Phys., 48 (1987) 539.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  29. Zabusky N. J. and Kruskal M. D., Phys. Rev. Lett., 15 (1965) 240;

    Article  ADS  MATH  Google Scholar 

  30. Zabusky N. J., in Nonlinear Partial Differential Equations, edited by Ames W. (New York) 1967.

    Google Scholar 

  31. Cercignani C., Riv. Nuovo Cimento, 7 (1977) 429.

    Article  MathSciNet  Google Scholar 

  32. Metropolis N., Rosenbluth A. W., Rosenbluth M. N., Teller A. H. and Teller E., J. Chem. Phys., 21 (1953) 1087.

    Article  ADS  Google Scholar 

  33. Wilson K., La Recherche, 14, No. 146 (1983) 1004.

    Google Scholar 

  34. Ciccotti G., Frenkel D. and Mcdonald I. R. (Editors), Simulation of Liquids and Solids (North-Holland, Amsterdam) 1987.

    Google Scholar 

  35. Livi R., Pettini M., Ruffo S. and Vulpiani A., Giornale di Fisica, 26, No. 4 (1985) 285.

    Google Scholar 

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Falcioni, M., Vulpiani, A. (2004). Enrico Fermis’s contribution to non-linear systems: The influence of an unpublished article. In: Bernardini, C., Bonolis, L. (eds) Enrico Fermi. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-01160-7_15

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  • DOI: https://doi.org/10.1007/978-3-662-01160-7_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-06053-3

  • Online ISBN: 978-3-662-01160-7

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