Moments of the Wigner function and Renyi entropies at freeze-out

Physical Review C - Nuclear Physics

Volumn 73, Issue 3, 2006, Pages

  Bialas, A ^b   Czyz, W ^a,b   Zalewski, K ^a,b  

^a JAGIELLONIAN UNIVERSITY   (Poland)

^b INSTITUTE OF NUCLEAR PHYSICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33645408565     PISSN: 05562813     EISSN: 1089490X     Source Type: Journal    
DOI: 10.1103/PhysRevC.73.034912     Document Type: Article

References (32)

1. A. Bialas and W. Czyz, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.61. 074021 61, 074021 (2000).
2. A. Renyi, Proceedings 4th Berkeley Symposium on Mathematical Statistical Probability 1960, Vol. 1 (University of California Press, Berkeley-Los Ageles, 1961), p. 547.
3. C. Beck and F. Schloegl, Thermodynamics of chaotic systems (Cambridge University Press, Cambridge, 1993).
4. For a recent discussion see, e.g., B. Muller and K. Rajagopal, Eur. Phys. J. C EPCFFB 1434-6044 10.1140/epjc/s2005-02256-3 43, 15 (2005), and references therein.
5. G. F. Bertsch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72. 2349 72, 2349 (1994);
6. G. F. Bertsch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77. 789 77, 789(E) (1996).
7. D. A. Brown, S. Y. Panitkin, and G. F. Bertsch, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.62.014904 62, 014904 (2000).
8. For a discussion of the physical meaning of the Wigner function see, e.g., M. Hillery, R. F. O'Connell, M. O. Scully, and E. P. Wigner, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(84)90160-1 106, 121 (1984), and references therein.
9. A. Bialas, W. Czyz, and K. Zalewski, Acta Phys. Pol. B 36, 3109 (2005);
10. A. Bialas, W. Czyz, and K. Zalewski, Phys. Lett. PYLBAJ 0370-2693 10.1016/j.physletb.2005.12.044 B633, 479 (2006).
11. A. Bialas and W. Czyz, Acta Phys. Pol. B 31, 687 (2000).
12. A. Bialas and W. Czyz, Acta Phys. Pol. B 31, 2803 (2000);
13. A. Bialas and W. Czyz, Acta Phys. Pol. B 34, 3363 (2003).
14. S. K. Ma, Statistical Mechanics (World Scientific, Singapore, 1985);
15. S. K. Ma, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01013169 26, 221 (1981).
16. A. Bialas, W. Czyz, and J. Wosiek, Acta Phys. Pol. B 30, 107 (1999).
17. It is obviously valid for models which assume thermal equilibrium. It is also valid in the blast-wave models, provided Xī=Xī(Ki). The Hubble-like expansion is obtained for Xī~Ki. For a review of models see, e.g., U. A. Wiedemann and U. Heinz, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00032-0 319, 145 (1999);
18. U. Heinz and B. Jacak, Annu. Rev. Nucl. Part. Sci. ARPSDF 0163-8998 10.1146/annurev.nucl.49.1.529 49, 529 (1999);
19. R. M. Weiner, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(99)00114-3 327, 249 (2000);
20. T. Csorgo, Heavy Ion Phys. APHPFM 1219-7580 10.1556/APH.15.2002.1-2.1 15, 1 (2002).
21. K. Fialkowski and R. Wit, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.62.114016 62, 114016 (2000);
22. NA22 Collaboration, M. Atayan, Acta Phys. Pol. B 36, 2969 (2005).
23. K. Zyczkowski, Open Sys. and Information Dyn. 1230-1612 10.1023/A:1025128024427 10, 297 (2003).
24. A. Bialas and K. Zalewski, Acta Phys. Pol. B. 37, 495 (2006).
25. D. A. Brown and P. Danielewicz, Phys. Lett. PYLBAJ 0370-2693 10.1016/S0370-2693(97)00251-7 B398, 252 (1997);
26. D. A. Brown and P. Danielewicz, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.58.094003 58, 094003 (1998);
27. S. Y. Panitkin and D. A. Brown, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.61.021901 61, 021901(R) (1999);
28. G. Verde, D. A. Brown, P. Danielewicz, C. K. Gelbke, W. G. Lynch, and M. B. Tsang, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.65.054609 65, 054609 (2002);
29. P. Danielewicz, Acta Phys. Hung. A APHPFM 1219-7580 10.1556/APH.22.2005. 3-4.11 22, 253 (2005).
30. S. V. Akkelin and Yu. M. Sinyukov, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.70.064901 70, 064901 (2004).
31. See, e.g., A. Bialas and K. Zalewski, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.72.036009 72, 036009 (2005).
32. S. Pal and S. Pratt, Phys. Lett. PYLBAJ 0370-2693 10.1016/j.physletb. 2003.10.054 B578, 310 (2004).