Dynamical phase transitions in long-range Hamiltonian systems and Tsallis distributions with a time-dependent index

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

Volumn 78, Issue 4, 2008, Pages

  Campa, Alessandro ^a   Chavanis, Pierre Henri ^b   Giansanti, Andrea ^c   Morelli, Gianluca ^c  

^a ISTITUTO SUPERIORE DI SANITÀ   (Italy)

^b UNIVERSITÉ PAUL SABATIER   (France)

^c SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DISTRIBUTION FUNCTIONS; DYNAMICAL SYSTEMS; FLUORESCENCE; HAMILTONIANS; IMAGE SEGMENTATION; MEAN FIELD THEORY; MECHANICS; SCHRODINGER EQUATION; STATISTICAL MECHANICS; TOKAMAK DEVICES;

BOLTZMANN; BOLTZMANN EQUILIBRIUMS; CRITICAL VALUES; DYNAMICAL PHASE TRANSITIONS; ENERGY DENSITIES; HAMILTONIAN MEAN FIELD MODELS; HAMILTONIAN SYSTEMS; LONG LIFETIMES; LONG-RANGE; LONG-RANGE INTERACTIONS; PARTICLE DISTRIBUTION FUNCTIONS; QUASISTATIONARY; QUASISTATIONARY STATES; SEMI-ELLIPSE; SUBCRITICAL; SUPERCRITICAL; TSALLIS DISTRIBUTIONS; VIOLENT RELAXATIONS; VLASOV EQUATIONS;

PHASE TRANSITIONS;

EID: 54149104992     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.040102     Document Type: Article

References (21)

1. Dynamics and Thermodynamics of Systems with Long Range Interactions, edited by, T. Dauxois, Lecture Notes in Physics, Vol. 602 (Springer, Berlin, 2002);
2. Dynamics and Thermodynamics of Systems with Long Range Interactions: Theory and Experiments, edited by, A. Campa, AIP Conf. Proc. APCPCS 0094-243X No. 970 (AIP, Melville, NY, 2008).
3. P. H. Chavanis, Astrophys. J. ASJOAB 0004-637X 10.1086/177977 471, 385 (1996).
4. X. P. Huang and C. F. Driscoll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.2187 72, 2187 (1994).
5. J. Barré, T. Dauxois, G. De Ninno, D. Fannelli, and S. Ruffo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.045501 69, 045501 (R) (2004).
6. V. Latora, A. Rapisanda, and C. Tsallis, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.056134 64, 056134 (2001).
7. Y. Yamaguchi, Physica A PHYADX 0378-4371 10.1016/j.physa.2004.01.041 337, 36 (2004).
8. P. H. Chavanis, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2005- 00234-0 46, 61 (2005).
9. P. H. Chavanis, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2006- 00405-5 53, 487 (2006).
10. A. Antoniazzi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.011112 75, 011112 (2007).
11. A. Campa, A. Giansanti, and G. Morelli, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.76.041117 76, 041117 (2007).
12. M. Antoni and S. Ruffo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.2361 52, 2361 (1995).
13. C. Tsallis, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01016429 52, 479 (1988).
14. D. Lynden-Bell, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 136, 101 (1967).
15. P. H. Chavanis, Physica A PHYADX 0378-4371 387, 787 (2008).
16. S. Inagaki and T. Konishi, Publ. Astron. Soc. Jpn. PASJAC 0004-6264 45, 733 (1993).
17. C. Anteneodo and R. Vallejos, Physica A PHYADX 0378-4371 10.1016/j.physa.2004.06.006 344, 383 (2004).
18. H. Morita and K. Kaneko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.050602 96, 050602 (2006).
19. A. Taruya and M. A. Sakagami, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.181101 90, 181101 (2003).
20. P. H. Chavanis and C. Sire, Physica A PHYADX 0378-4371 10.1016/j.physa.2005.03.046 356, 419 (2005).
21. F. Bouchet and T. Dauxois, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.045103 72, 045103 (R) (2005).