Abundance of regular orbits and nonequilibrium phase transitions in the thermodynamic limit for long-range systems

Physical Review Letters

Volumn 101, Issue 26, 2008, Pages

  Bachelard, R ^a   Chandre, C ^a   Fanelli, D ^b   Leoncini, X ^a   Ruffo, S ^b  

^a AIX MARSEILLE UNIVERSITY   (France)

^b UNIVERSITY OF FLORENCE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

MEAN FIELD THEORY; PHASE TRANSITIONS; STATISTICAL MECHANICS;

DYNAMICAL INTERPRETATION; HAMILTONIAN MEAN FIELD MODELS; MAXIMUM ENTROPY PRINCIPLE; NONEQUILIBRIUM PHASE TRANSITIONS; OUT OF EQUILIBRIUM; OUT-OF-EQUILIBRIUM PHASE TRANSITIONS; SINGLE-PARTICLE DYNAMICS; THERMODYNAMIC LIMITS;

HAMILTONIANS;

EID: 58149498488     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.101.260603     Document Type: Article

References (28)

1. G. Gallavotti, Statistical Mechanics: A Short Treatise (Springer, Berlin, 1999).
2. C. Froeschlé and J.-P. Scheidecker, Phys. Rev. A 12, 2137 (1975). PLRAAN 1050-2947 10.1103/PhysRevA.12.2137
3. E. Fermi, J. Pasta, and S. Ulam, Los Alamos Report No. LA-1940, 1955, reprinted in;
4. T. Dauxois and S. Ruffo, Scholarpedia 3, 5538 (2008).
5. The Fermi-Pasta-Ulam Problem: A Status Report, edited by, G. Gallavotti, Lecture Notes in Physics Vol. 728 (Springer, Berlin, 2008).
6. Dynamics and Thermodynamics of Systems with Long-Range Interactions, edited by, T. Dauxois, S. Ruffo, E. Arimondo, and, M. Wilkens, Lecture Notes in Physics Vol. 602 (Springer, Berlin, 2002).
7. Dynamics and Thermodynamics of Systems with Long-Range Interactions: Theory and Experiments, A. Campa, A. Giansanti, G. Morigi, and, F. Sylos-Labini, AIP Conf. Proc. No. 970 (AIP, New York, 2008).
8. V. Latora, A. Rapisarda, and S. Ruffo, Phys. Rev. Lett. 80, 692 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.692
9. Y.Y. Yamaguchi Physica (Amsterdam) 337A, 36 (2004). PHYADX 0378-4371 10.1016/j.physa.2004.01.041
10. P.H. Chavanis, Int. J. Mod. Phys. B IJPBEV 0217-9792 20, 3113 (2006). 10.1142/S0217979206035400
11. Y. Elskens and D.F. Escande, Microscopic Dynamics of Plasmas and Chaos (IOP, Bristol, 2003).
12. J. Barré, Phys. Rev. E 69, 045501(R) (2004). PLEEE8 1063-651X 10.1103/PhysRevE.69.045501
13. A.N. Kolmogorov, Dokl. Akad. Nauk SSSR DASBAQ 98, 527 (1954);
14. V.I. Arnold, Sov. Math. Dokl. 0197-6788 2, 501 (1961);
15. J. Moser, Nachr. Akad. Wiss. Gött., 2 NAAKA5 0065-5295 K1, 1 (1962).
16. A. Antoniazzi, D. Fanelli, S. Ruffo, and Y. Yamaguchi, Phys. Rev. Lett. 99, 040601 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.040601
17. D. Lynden-Bell, Mon. Not. R. Astron. Soc. 136, 101 (1967). MNRAA4 0035-8711
18. M. Antoni and S. Ruffo, Phys. Rev. E 52, 2361 (1995). PLEEE8 1063-651X 10.1103/PhysRevE.52.2361
19. F. Hohl and M.R. Feix, Astrophys. J. 147, 1164 (1967). ASJOAB 0004-637X 10.1086/149106
20. J.M. Dawson, Phys. Fluids PFLDAS 0031-9171 5, 445 (1962). 10.1063/1.1706638
21. M. Hauray and P.E. Jabin, Arch. Ration. Mech. Anal. AVRMAW 0003-9527 183, 489 (2007); 10.1007/s00205-006-0021-9
22. M.K.H. Kiessling, Commun. Nonlin. Sci. Num. Simul. 13, 1007-5704 106 (2008); 10.1016/j.cnsns.2007.05.013
23. M.K.H. Kiessling, in Ref., p. 91.
24. P.H. Chavanis, Eur. Phys. J. B 53, 487 (2006). EPJBFY 1434-6028 10.1140/epjb/e2006-00405-5
25. R. Bonifacio, Riv. Nuovo Cimento Soc. Ital. Fis. 13, 1 (1990). RNUCAC 0035-5917 10.1007/BF02770850
26. S.V. Milton, Science 292, 2037 (2001); SCIEAS 0036-8075 10.1126/science.1059955
27. L.H. Yu, Science 289, 932 (2000). SCIEAS 0036-8075 10.1126/science.289. 5481.932
28. R. Bachelard, Eur. Phys. J. D 42, 125 (2007). EPJDF6 1434-6060 10.1140/epjd/e2006-00276-x