Nonequilibrium phase transitions and violent relaxation in the Hamiltonian mean-field model

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 85, Issue 6, 2012, Pages

  Rocha Filho, T M ^a   Amato, M A ^a   Figueiredo, A ^a  

^a UNIVERSITY OF BRASILIA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

FIRST ORDER; INTERACTING SYSTEM; MEAN FIELD MODELS; NONEQUILIBRIUM PHASE TRANSITIONS; PHASE REENTRANCE; ROUGH APPROXIMATIONS; VIOLENT RELAXATION;

MOLECULAR DYNAMICS;

HAMILTONIANS;

EID: 84863314316     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.062103     Document Type: Article

References (28)

1. A. Campa, T. Dauxois, and S. Ruffo, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2009.07.001 480, 57 (2009).
2. D. Lynden-Bell and R. Wood, Mon. Not. R. Astron. Soc. 138, 495 (1968).
3. P. Hertel and W. Thirring, Ann. Phys. APNYA6 0003-4916 10.1016/0003-4916(71)90025-X 63, 520 (1971).
4. T. Padmanabhan, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(90)90051-3 188, 285 (1990).
5. B. N. Miller and P. Youngkins, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.4794 81, 4794 (1998).
6. M. K. H. Kiessling and T. Neukirch, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.252779099 100, 1510 (2003). (Pubitemid 36254477)
7. J. Barré, T. Dauxois, G. De Ninno, D. Fanelli, and S. Ruffo, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.69.045501 69, 045501 (R) (2004).
8. D. Lynden-Bell, Mon. Not. R. Astron. Soc. 136, 101 (1967).
9. Y. Yamaguchi, J. Barré, F. Bouchet, T. Dauxois, and S. Ruffo, Physica A PHYADX 0378-4371 10.1016/j.physa.2004.01.041 337, 36 (2004).
10. M. Antoni and S. Ruffo, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.52.2361 52, 2361 (1995).
11. P. de Buyl, D. Fanelli, and S. Ruffo, Centr. Eur. J. Phys. 1895-1082 10.2478/s11534-012-0010-6 10, 652 (2012).
12. F. Staniscia, P. H. Chavanis, and G. De Ninno, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.051111 83, 051111 (2011).
13. F. P. da C. Benetti, T. N. Teles, R. Pakter, and Y. Levin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.140601 108, 140601 (2012).
14. F. Staniscia, P. H. Chavanis, G. De Ninno, and D. Fanelli, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.021138 80, 021138 (2009).
15. A. Antoniazzi, D. Fanelli, S. Ruffo, and Y. Y. Yamaguchi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.040601 99, 040601 (2007). (Pubitemid 47171670)
16. S. Ogawa and Y. Y. Yamaguchi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.061140 84, 061140 (2011).
17. F. Staniscia, P. H. Chavanis, and G. De Ninno, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.051111 83, 051111 (2011).
18. R. Pakter and Y. Levin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.200603 106, 200603 (2011).
19. W. Braun and K. Hepp, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01611497 56, 125 (1977).
20. H. Morita and K. Kaneko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.050602 96, 050602 (2006). (Pubitemid 43270969)
21. A. Antoniazzi, D. Fanelli, S. Ruffo, and Y. Y. Yamaguchi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.040601 99, 040601 (2007). (Pubitemid 47171670)
22. F. Staniscia, P. H. Chavanis, G. De Ninno, and D. Fanelli, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.021138 80, 021138 (2009).
23. where α and β are Lagrange multipliers.
24. T. M. Rocha Filho, arXiv: 1206.3229.
25. A. Antoniazzi, D. Fanelli, J. Barré, P. H. Chavanis, T. Dauxois, and S. Ruffo, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.011112 75, 011112 (2007). (Pubitemid 46134145)
26. Ergodicity is a topic that will be addressed in a future paper.
27. Y. Levin, R. Pakter, and F. B. Rizzato, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.021130 78, 021130 (2008).
28. Y. Levin, R. Pakter, and T. N. Teles, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.040604 100, 040604 (2008). (Pubitemid 351191354)