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
Fermi E., Pasta J. and Ulam S., Los Alamos Sci. Lab. Rep. LA-1940 (1955).
Fermi E., Note e Memorie (Collected Papers) (Accademia Nazionale dei Lincei and The University of Chicago Press) 1962, 1965.
Segrè E., Enrico Fermi Physicist (The University of Chicago Press) 1970.
Cercignani C., Ludwig Boltzmann e la Meccanica Statistica (La Goliardica Pavese, Pavia) 1997.
Arnold V. I. and Avez A., Ergodic Problems of Classical Mechanics (Benjamin, New York) 1968.
Khinchin A. J., Mathematical Foundation of Statistical Mechanics (Dover, New York) 1949.
Landau L. D. and Lifschitz E. M., Statistical Physics (Pergamon Press) 1969.
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.
Poincaré H., Acta Math., 13 (1890) 1.
Fermi E., Phys. Zeits., 24 (1923) 261;
translated into Italian in Fermi E., Nuovo Cimento, 26 (1923) 105;
Fermi E., Nuovo Cimento, 25 (1923) 267.
Kolmogorov A. N., Dokl. Akad. Nauk SSSR, 98 (1954) 527.
Arnold V. I., Russ. Math. Surv., 18 (1963) 9.
Moser J. K., Nachr. Akad. Wiss. Göttingen Math. Phys. kl., 2 (1962) 1.
Izrailev F. M. and Chirikov B. V., Dokl. Akad. Nauk SSSR, 166 (1966) 57.
Bocchieri P., Scotti A., Bearzi B. and Loinger A., Phys. Rev. A, 2 (1970) 2013;
Casartelli M., Casati G., Diana E., Galgani L. and Scotti A., Theor. Math. Phys., 29 (1976) 205;
Livi R., Pettini M., Ruffo S., Sparpaglione M. and Vulpiani A., Phys. Rev. A, 31 (1985) 1039.
Benettin G., in Molecular-Dynamics Simulation of Statistical-Mechanical Systems, edited by Ciccotti G. and Hoover W. G. (North-Holland, Amsterdam) 1986.
Benettin G. and Tenenbaum A., Phys. Rev. A, 28 (1983) 3020.
Kantz H., Physica D, 39 (1989) 322;
Kantz H., Livi R. and Ruffo S., J. Stat. Phys., 76 (1994) 627.
Casetti L., Cerruti-Sola M., Pettini M. and Cohen E. G. D., Phys. Rev. E, 55 (1997) 6566.
De Luca J., Lichtenberg A. J. and Ruffo S., Phys. Rev. E, 60 (1999) 3781.
Ruffo S., in Chance in Physics: Foundations and Perspectives, edited by Bricmont J. et al. (Springer-Verlag, Berlin) 2000.
Alabiso C. and Casartelli M., J. Phys. A, 33 (2000) 831.
Livi R., Pettini M., Ruffo S. and Vulpiani A., J. Stat. Phys., 48 (1987) 539.
Zabusky N. J. and Kruskal M. D., Phys. Rev. Lett., 15 (1965) 240;
Zabusky N. J., in Nonlinear Partial Differential Equations, edited by Ames W. (New York) 1967.
Cercignani C., Riv. Nuovo Cimento, 7 (1977) 429.
Metropolis N., Rosenbluth A. W., Rosenbluth M. N., Teller A. H. and Teller E., J. Chem. Phys., 21 (1953) 1087.
Wilson K., La Recherche, 14, No. 146 (1983) 1004.
Ciccotti G., Frenkel D. and Mcdonald I. R. (Editors), Simulation of Liquids and Solids (North-Holland, Amsterdam) 1987.
Livi R., Pettini M., Ruffo S. and Vulpiani A., Giornale di Fisica, 26, No. 4 (1985) 285.
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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
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