Statistical mechanics in the context of special relativity. II

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

Volumn 72, Issue 3, 2005, Pages

  Kaniadakis, G ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL PHYSICS; GENERALIZATIONS; LORENTZ TRANSFORMATIONS; RELATIVITY LAWS;

ENTROPY; GIBBS FREE ENERGY; KINETIC THEORY; MATHEMATICAL TRANSFORMATIONS; PARAMETER ESTIMATION; RELATIVITY; STATISTICS;

STATISTICAL MECHANICS;

EID: 28844477953     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.036108     Document Type: Article

References (39)

1. J. Bernstein, Kinetic Theory in the Expanding Universe (Cambridge University Press, Cambridge, England, 1988).
2. G. M. Kremer and F. P. Devecchi, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.65.083515 65, 083515 (2002).
3. A. Giovannini, S. Lupia, and R. Ugoccioni, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.65.094028 65, 094028 (2002).
4. D. Colladay and P. McDonald, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.70.125007 70, 125007 (2004).
5. R. Prix, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.69.043001 69, 043001 (2004).
6. Hyun Kyu Lee, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.66.063001 66, 063001 (2002).
7. V. Husain, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.69.084002 69, 084002 (2004).
8. G. Gour, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.67.127501 67, 127501 (2003).
9. R. K. Bhaduri and M. N. Tran, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.69.104018 69, 104018 (2004).
10. E. T. Jaynes, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.106.620 106, 620 (1957);
11. E. T. Jaynes, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.108.171 108, 171 (1957).
12. V. M. Vasyliunas, J. Geophys. Res. JGREA2 0148-0227 73, 2839 (1968).
13. P. L. Biermann and G. Sigl, Physics and Astrophysics of Ultra-High-Energy Cosmic Rays, Lectures Notes in Physics Vol. 576 (Spring-Verlag, Berlin, 2001).
14. S. P. Swordy, http://astroparticle.uchicago.edu/announce.htm
15. J. D. Bekenstein, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.7.2333 7, 2333 (1972).
16. S. W. Hawking, Commun. Math. Phys. CMPHAY 0010-3616 43, 1999 (1975).
17. A. Hasegawa, K. Mima, and Minh Duong-van, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.54.2608 54, 2608 (1985).
18. G. Wilk and Z. Wlodarczyk, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.50.2318 50, 2318 (1994).
19. G. Kaniadakis, Physica A PHYADX 0378-4371 10.1016/S0378-4371(01)00184-4 296, 405 (2001).
20. G. Kaniadakis, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.056125 66, 056125 (2002).
21. G. Kaniadakis, M. Lissia, and A. M. Scarfone, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.046128 71, 046128 (2005).
22. S. Abe, J. Phys. A JPHAC5 0305-4470 36, 8733 (2003).
23. J. Naudts, Physica A PHYADX 0378-4371 10.1016/S0378-4371(02)01018-X 316, 323 (2002).
24. P.-H. Chavanis, Physica A PHYADX 0378-4371 332, 89 (2004).
25. A. G. Bashkirov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.130601 93, 130601 (2004).
26. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, London, 2000).
27. C. Cercignani and G. Medeiros Kremer, The Relativistic Boltzmann Equation: Theory and Applications (Birkhauser-Verlag, Basel, 2002).
28. S. R. de Groot, W. A. van Leeuwen, and Ch. G. van Weert, Relativistic Kinetic Theory: Principle and Applications (North-Holland, Amsterdam, 1980).
29. G. Kaniadakis and A. M. Scarfone, Physica A PHYADX 0378-4371 10.1016/j.physa.2004.03.083 340, 102 (2004).
30. A. Einstein, Jahrb. Radioakt. Elektron. JAREAS 0368-1289 4, 411 (1907).
31. M. Planck, Ann. Phys. (Leipzig)wionw ANPYA2 0003-3804 26, 1 (1908).
32. A. M. Teweldeberhan, H. G. Miller, and R. Tegen, Int. J. Mod. Phys. E IMPEER 0218-3013 12, 669 (2003).
33. A. Rossani and A. M. Scarfone, J. Phys. A JPHAC5 0305-4470 37, 4955 (2004).
34. M. Cravero, Physica A PHYADX 0378-4371 340, 410 (2004).
35. F. Topsoe, Physica A PHYADX 0378-4371 340, 11 (2004).
36. A. Dragulescu, e-print cond-mat/0307341.
37. D. Rajaonarison, D. Bolduc, and H. Jayet, Econ. Lett. ECLEDS 0165-1765 86, 13 (2005).
38. M. Botta Cantcheff and J. A. C. Nogales, e-print gr-qc/0504004.
39. Nonextensive Entropy-Interdisciplinary Applications, edited by, M. Gell-Mann, and, C. Tsallis, (Oxford University Press, New York, 2004).