Exponentially long times to equipartition in the thermodynamic limit

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 321, Issue 3, 2004, Pages 167-172

  Berchialla, Luisa ^a   Giorgilli, Antonio ^a   Paleari, Simone ^a  

^a UNIVERSITY OF MILANO BICOCCA   (Italy)

Author keywords

FPU model; Nonlinear chain; Thermodynamic limit

Indexed keywords

NUMERICAL METHODS;

EQUIPARTITION; FERMI-PASTA-ULAM MODEL; NUMERICAL RESULTS; SPECIFIC ENERGY; THERMODYNAMIC LIMITS;

THERMODYNAMICS;

ARTICLE; FREQUENCY ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MATHEMATICS; PARTITION COEFFICIENT; QUANTITATIVE ANALYSIS; RELAXATION TIME; THERMODYNAMICS;

EID: 1042301145     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2003.11.052     Document Type: Article

References (26)

1. E. Fermi, J. Pasta, S. Ulam, Studies of nonlinear problems, in: Collected Papers (Note e memorie). Vol. II: United States, 1939-1954, 1955, Los Alamos document LA-1940.
2. Izrailev F.M., Chirikov B.V. Sov. Phys. Dokl. 11:(1):1966;30.
3. Shepelyansky D.L. Nonlinearity. 10:(5):1997;1331.
4. Bocchieri P., Scotti A., Bearzi B., Loinger A. Phys. Rev. A. 2:1970;2013.
5. Galgani L., Scotti A. Phys. Rev. Lett. 28:1972;1173.
6. Galgani L., Scotti A. Riv. Nuovo Cimento. 2:(2):1972;189.
7. Cercignani C., Galgani L., Scotti A. Phys. Lett. A. 38:1972;403.
8. Carati A., Galgani L., Ponno A., Giorgilli A. Nuovo Cimento B. 117:(9-11):2002;1017.
9. Carotta M., Ferrario C., Lo Vecchio G., Carazza B., Galgani L. Phys. Rev. A. 17:1978;786.
10. Kantz H. Physica D. 39:(2-3):1989;322.
11. Livi R., Pettini M., Ruffo S., Sparpaglione M., Vulpiani A. Phys. Rev. A. 28:1983;3544.
12. Livi R., Pettini M., Ruffo S., Sparpaglione M., Vulpiani A. Phys. Rev. A. 31:1985;1039.
13. Livi R., Pettini M., Ruffo S., Vulpiani A. J. Stat. Phys. 48:(3-4):1987;539.
14. Kantz H., Livi R., Ruffo S. J. Stat. Phys. 76:1994;627.
15. Casetti L., Cerruti-Sola M., Pettini M., Cohen E.G.D. Phys. Rev. E. 55:(6):1997;6566.
16. Galgani L., Giorgilli A., Martinoli A., Vanzini S. Physica D. 59:(4):1992;334.
17. Fucito F., Marchesoni F., Marinari E., Parisi G., Peliti L., Ruffo S., Vulpiani A. J. Phys. (Paris). 43:(5):1982;707.
18. Pettini M., Landolfi M. Phys. Rev. A. 41:(2):1990;768.
19. De Luca J., Lichtenberg A., Lieberman M.A. Chaos. 5:1995;283.
20. De Luca J., Lichtenberg A., Ruffo S. Phys. Rev. E. 51:1995;2877.
21. De Luca J., Lichtenberg A., Ruffo S. Phys. Rev. E. 54:1996;2329.
22. De Luca J., Lichtenberg A., Ruffo S. Phys. Rev. E. 60:1999;3781.
23. L. Berchialla, L. Galgani, A. Giorgilli, Localization of energy in FPU chains, Discrete Contin. Dyn. Syst. Ser. B, in press.
24. Giorgilli A. New insights on the stability problem from recent results in classical perturbation theory. Benest D., Froeschlé C. Les Méthodes Modernes de la Mécanique Célèste. 1990;Editions Frontières.
25. Giorgilli A., Skokos C. Astron. Astrophys. 317:1997;254.
26. Benettin G., Galgani L., Giorgilli A. Commun. Math. Phys. 121:(4):1989;557.