Gravothermal catastrophe and Tsallis' generalized entropy of self-gravitating systems. (II). Thermodynamic properties of stellar polytrope

Physica A: Statistical Mechanics and its Applications

Volumn 318, Issue 3-4, 2003, Pages 387-413

  Taruya, Atsushi ^a   Sakagami, Masa Aki ^b  

^a UNIVERSITY OF TOKYO   (Japan)

^b KYOTO UNIVERSITY   (Japan)

Author keywords

Gravothermal instability; Negative specific heat; Non extensive entropy; Self gravitating system; Stellar polytrope

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ENTROPY; FREE ENERGY; LAGRANGE MULTIPLIERS; SPECIFIC HEAT; THERMODYNAMICS;

GRAVOTHERMAL CATASTROPHE;

STATISTICAL MECHANICS;

EID: 0037442308     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(02)01342-0     Document Type: Article

References (27)

1. Tsallis C. J. Stat. Phys. 52:1988;479.
2. Taruya A., Sakagami M. Physica A. 307:2002;185.
3. Binney J., Tremaine S. Galactic Dynamics. 1987;Princeton University Press, Princeton, NJ.
4. Elson R., Hut P., Inagaki S. Ann. Rev. Astron. Astrophys. 25:1987;565.
5. Meylan G., Heggie D.C. Astron. Astrophys. Rev. 8:1997;1.
6. V.A. Antonov, Vest. Leningrad Gros. Univ. 7 (1962) 135 (English transl. in: J. Goodman, P. Hut (Eds.), IAU Symposium 113, Dynamics of Globular Clusters, Reidel, Dordrecht; 1985, pp. 525-540).
7. V.A. Antonov, Vest. Leningrad Gros. Univ. 7 (1962) 135 (English transl. in: J. Goodman, P. Hut (Eds.), IAU Symposium 113, Dynamics of Globular Clusters, Reidel, Dordrecht; 1985, pp. 525-540).
8. Lynden-Bell D., Wood R. Mon. Not. R. Astron. Soc. 138:1968;495.
9. Padmanabhan T. Astrophys. J. Suppl. 71:1989;651.
10. Padmanabhan T. Phys. Rep. 188:1990;285.
11. Tsallis C. Braz. J. Phys. 29:1999;1.
12. S. Abe, Y. Okamoto (Eds.), Nonextensive Statistical Mechanics and Its Applications, Springer, Berlin, 2001.
13. Plastino A.R., Plastino A. Phys. Lett. A. 174:1993;384.
14. Plastino A.R., Plastino A. Braz. J. Phys. 29:1999;79.
15. Martínez S., Nicolás F., Pennini F., Plastino A. Physica A. 286:2000;489.
16. Abe S., Martínez S., Pennini F., Plastino A. Phys. Lett. A. 281:2001;126.
17. Curado E.M.F., Tsallis C. J. Phys. A. 24:1991;L69.
18. Plastino A., Plastino A.R. Phys. Lett. A. 226:1997;257.
19. Tsallis C., Mendes R.S., Plastino A.R. Physica A. 261:1998;534.
20. Chandrasekhar S. Introduction to the Study of Stellar Structure. 1939;Dover, New York.
21. Kippenhahn R., Weigert A. Stellar Structure and Evolution. 1990;Springer, Berlin.
22. de Vega H.J., Sánchez N. Nucl. Phys. B. 625:2002;409.
23. Chavanis P.H. Astron. Astrophys. 381:2002;340.
24. Chavanis P.H. Astron. Astrophys. 386:2002;732.
25. Abe S., Rajagopal A.K. Phys. Lett. A. 272:2000;345 Abe S., Rajagopal A.K. J. Phys. A. 33:2000;8733 Abe S., Rajagopal A.K. Europhys. Lett. 52:2000;610.
26. Abe S., Rajagopal A.K. Phys. Lett. A. 272:2000;345 Abe S., Rajagopal A.K. J. Phys. A. 33:2000;8733 Abe S., Rajagopal A.K. Europhys. Lett. 52:2000;610.
27. Abe S., Rajagopal A.K. Phys. Lett. A. 272:2000;345 Abe S., Rajagopal A.K. J. Phys. A. 33:2000;8733 Abe S., Rajagopal A.K. Europhys. Lett. 52:2000;610.