Energy equipartition starting from high-frequency modes in the Fermi-Pasta-Ulam β oscillator chain

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 61, Issue 3, 2000, Pages 2471-2477

  Ullmann, K ^a   Lichtenberg, A J ^a   Corso, G ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

STOCHASTIC SYSTEMS;

ENERGY EQUIPARTITION; FERMI-PASTA-ULAM OSCILLATOR; HIGH-FREQUENCY MODE; INITIAL CONDITIONS; LOCALIZED STRUCTURES; LOW-FREQUENCY MODES; OSCILLATOR CHAINS; STOCHASTIC DIFFUSION;

CHAINS;

EID: 0000931034     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.61.2471     Document Type: Article

References (23)

1. A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics (Springer-Verlag, Berlin, 1992).
2. E. Fermi, J. Pasta, S. Ulam, and M. Tsingtou, in The Many-Body Problem, edited by D. C. Mattis (World Scientific, Singapore, 1993 reprinted).
3. J. Ford, J. Math. Phys. 2, 387 (1961).
4. F. M. Izrailev and B. V. Chirikov, Dokl. Akad. Nauk SSSR 57, 166 (1966) [Sov. Phys. Dokl. 11, 30 (1966)].
5. P. Bocchieri, A. Scotti, B. Bearzi, and A. Loinger, Phys. Rev. A 2, 2013 (1970).
6. R. Livi, M. Pettini, S. Ruffo, M. Sparpaglione, and A. Vulpiani, Phys. Rev. A 31, 1039 (1985).
7. M. Pettini and M. Landolfi, Phys. Rev. A 41, 768 (1990).
8. H. Kantz, R. Livi, and S. Ruffo, J. Stat. Phys. 76, 627 (1994).
9. J. DeLuca, A. J. Lichtenberg, and M. A. Lieberman, Chaos 5, 283 (1995).
10. J. DeLuca, A. J. Lichtenberg, and S. Ruffo, Phys. Rev. E 51, 2877 (1995).
11. C. F. Driscoll and T. M. O’Neil, Phys. Rev. Lett. 37, 69 (1976)
12. C. F. DriscollT. M. O’NeilRocky Mt. J. Math. 8, 211 (1978).
13. V. M. Burlakov, S. A. Kiselev, and V. I. Rupasov, Phys. Lett. A 147, 130 (1990)
14. V. M. Burlakov and S. Kiselev, Zh. Eskp. Teor. Fiz. 99, 1526 (1991) [Sov. Phys. JETP 72, 854 (1991)].
15. T. Cretegny, T. Dauxois, S. Ruffo, and A. Torcini, Physica D 121, 109 (1998).
16. C. G. Goedde, A. J. Lichtenberg, and M. A. Lieberman, Physica D 57, 200 (1992).
17. M. C. Forrest, C. G. Goedde, and A. Sinha, Phys. Rev. Lett. 68, 2722 (1992).
18. O. Bang and M. Peyrard, Phys. Rev. E 53, 4143 (1996).
19. J. L. Marin and S. Aubry, Nonlinearity 9, 1501 (1996)
20. J. L. MarinS. AubryPhysica D 119, 163 (1998).
21. T. Cretegny, S. Aubry, and S. Flach, Physica D 119, 73 (1998).
22. J. DeLuca, A. J. Lichtenberg, and S. Ruffo, Phys. Rev. E 60, 3781 (1999).
23. E. Forest and R. D. Ruth, Physica D 43, 105 (1990).