First- and second-order clustering transitions for a system with infinite-range attractive interaction

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

Volumn 66, Issue 2, 2002, Pages

  Antoni, M ^a   Ruffo, S ^b,c   Torcini, A ^a,b  

^a CNRS   (France)

^b UNIVERSITY OF FLORENCE   (Italy)

^c UNIVERSITÉ DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FREE ENERGY; HAMILTONIANS; MOLECULAR DYNAMICS; POTENTIAL ENERGY; SPECIFIC HEAT; THERMODYNAMICS;

CANONICAL ANALYSIS; CANONICAL ENSEMBLE; CLUSTERING; MOLECULAR DYNAMIC SIMULATIONS;

PHASE TRANSITIONS;

EID: 41349123682     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.025103     Document Type: Article

References (25)

1. M. Toda, R. Kubo, and N. Saito, Statistical Physics I (Springer, Berlin, 1992), Chap. 4.
2. T. Padmanabhan, Phys. Rep. 188, 285 (1990).
3. D. Lynden-Bell and R. Wood, Mon. Not. R. Astron. Soc. 138, 495 (1968)
4. B.N. Miller and P. Youngkins, Phys. Rev. Lett. 81, 4794 (1998);
5. P.-H. Chavanis, Astron. Astrophys. 381, 340 (2002).
6. M. Antoni and A. Torcini, Phys. Rev. E 57, R6233 (1998);
7. Phys. Rev. EA. Torcini and M. Antoni, 59, 2746 (1999).
8. J. Barré, D. Mukamel, and S. Ruffo, Phys. Rev. Lett. 87, 030601 (2001).
9. I. Ispolatov and E.G.D. Cohen, Physica A 295, 475 (2001).
10. P. Hertel and W. Thirring, Ann. Phys. (N.Y.) 63, 520 (1971).
11. A. Compagner, C. Bruin, and A. Roelse, Phys. Rev. A 39, 5989 (1989);
12. Phys. Rev. AH.A. Posch, H. Narnhofer, and W. Thirring, 42, 1880 (1990).
13. D.H.E. Gross, Rep. Prog. Phys. 50, 605 (1990);
14. M. D’Agostino, Nucl. Phys. A 650, 329 (1999);
15. P. Chomaz, Phys. Rev. Lett. 85, 3587 (2000).
16. P. Labastie and R.L. Whetten, Phys. Rev. Lett. 65, 1567 (1990);
17. Phys. Rev. Lett.M. Schmidt, 86, 1191 (2001).
18. D.H.E. Gross, Microcanonical Thermodynamics: Phase Transitions in “Small” Systems (World Scientific, Singapore, 2000).
19. F. Leyvraz and S. Ruffo, J. Phys. A 34, 1 (2001).
20. Our analysis is limited to equilibrium solutions. A detailed analysis of “quasistationary” (metastable) states can be found in V. Latora, A. Rapisarda, and C. Tsallis, Phys. Rev. E 64, 056134 (2001).
21. M. Antoni and S. Ruffo, and Phys. Rev. E 52, 2361 (1995).
22. All the simulation details can be found in 5.
23. It should be noticed that the metastable (Formula presented) canonical solution becomes unstable when (Formula presented) vanishes, in agreement with the topological arguments reported in J. Katz, Mon. Not. R. Astron. Soc. 183, 765 (1978).
24. C. Anteneodo and C. Tsallis, Phys. Rev. Lett. 80, 5313 (1998);
25. Phys. Rev. Lett.F. Tamarit and C. Anteneodo, 84, 208 (2000).