Upper bounds on the entropy of radiation systems
- 24 Downloads
The upper bounds on the entropy of a radiation system confined to a spherical box are calculated in six cases by using the equation of state of radiation in flat spacetime and the equation of state of radiation near black-hole horizon, which was derived by Li and Liu (hereafter the Li-Liu equation). It turns out that the Li-Liu equation does have unique advantage in dealing with the entropy bound of critical self-gravitating radiation systems, while the usual equation of state will result in entropy divergence. In the case of non-self-gravitating radiation systems and non-critical self-gravitating radiation systems, there is no difference in the entropy bounds derived by these two equations of state.
Keywordsequation of state of radiation-entropy-black-hole entropy generalized second law of thermodynamics black-hole thermodynamics
Unable to display preview. Download preview PDF.
- 1.Li, L., Liu, L., Properties of radiation near the black hole horizon and the second law of thermodynamics.Phys. Rev., 1992, D46(8):3296.Google Scholar
- 3.Anderson, W. G., Boulware state and the generalized second law of thermodynamics,Phys. Rev., 1994, D50(8):4786.Google Scholar
- 4.Wang, D. X., Entropy of self-gravitating radiation systems and the entropy of black holes,Phys. Rev., 1994, D50 (12): 7385.Google Scholar
- 6.Wang, D. X., Investigation on the origin of black-hole entropy,Phys. Rev., 1996, D53(10): 5705.Google Scholar
- 8.Hawking, S. W., Black Holes and thermodynamics,Phys. Rev., 1976, D13(2):191.Google Scholar
- 10.Wang, D. X., Self-gravitating electromagnetic radiation systems of spherical symmetry before gravitational collapse to black holes.Actu Astrophys. Sinica (in Chinese), 1992, 12(3): 202.Google Scholar
- 11.Lang, K. R.,Astrophysical Formulae (in Chinese) (trans. Yang Jian), Shanghai: Shanghai Publishing House of Science and Technology. 1983, 15.Google Scholar