Application of renormalization to the dynamics of a particle in an infinite square-well potential driven by an external field

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

Volumn 63, Issue 4, 2001, Pages

  Chandre, C ^a  

^a CEA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); GREEN'S FUNCTION; HAMILTONIANS; PERTURBATION TECHNIQUES; RESONANCE;

RENORMALIZATION TRANSFORMATIONS;

PARTICLE BEAM DYNAMICS;

EID: 17944385063     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.046201     Document Type: Article

References (22)

1. D. F. Escande and F. Doveil, J. Stat. Phys. 26, 257 (1981).
2. H. Koch, Erg. Theor. Dyn. Syst. 19, 475 (1999).
3. M. Govin, C. Chandre, and H. R. Jauslin, Phys. Rev. Lett. 79, 3881 (1997).
4. C. Chandre, M. Govin, and H. R. Jauslin, Phys. Rev. E 57, 1536 (1998).
5. C. Chandre, M. Govin, H. R. Jauslin, and H. Koch, Phys. Rev. E 57, 6612 (1998).
6. J. J. Abad, H. Koch, and P. Wittwer, Nonlinearity 11, 1185 (1998).
7. J. M. Greene, J. Math. Phys. 20, 1183 (1979).
8. J. Laskar, in Hamiltonian Systems with Three or More Degrees of Freedom, edited by C. Simó, NATO Advanced Study Institute Series C: Physics Vol. 533 (Kluwer Academic, Dordrecht, 1999), pp. 134–150.
9. C. Chandre and H. R. Jauslin, Phys. Rev. E 61, 1320 (2000).
10. C. Chandre, J. Laskar, G. Benfatto, and H. R. Jauslin (unpublished).
11. W. A. Lin and L. E. Reichl, Physica D 19, 145 (1986).
12. L. E. Reichl, The Transition to Chaos in Conservative Classical Systems: Quantum Manifestations (Springer-Verlag, New York, 1992).
13. B. V. Chirikov, Phys. Rep. 52, 263 (1979).
14. D. F. Escande, Phys. Rep. 121, 165 (1985).
15. W. Thirring, A Course in Mathematical Physics I: Classical Dynamical Systems (Springer-Verlag, Berlin, 1992).
16. C. Chandre and H. R. Jauslin, in Mathematical Results in Statistical Mechanics, edited by S. Miracle-Solé, J. Ruiz, and V. Zagrebnov (World Scientific, Singapore, 1999).
17. G. Gallavotti, in Scaling and Self-Similarity in Physics, Vol. 7 of Progress in Physics, edited by J. Fröhlich (Birkhäuser, Boston, 1983), pp. 359–426.
18. R. S. MacKay, Nonlinearity 5, 161 (1992).
19. C. Falcolini and R. de la Llave, J. Stat. Phys. 67, 609 (1992).
20. L. E. Reichl and W. M. Zheng, Phys. Rev. A 30, 1068 (1984).
21. W. A. Lin and L. E. Reichl, Phys. Rev. A 31, 1136 (1985).
22. C. Chandre, H. R. Jauslin, and G. Benfatto, J. Stat. Phys. 94, 241 (1999).