Science in China Series A: Mathematics

, Volume 40, Issue 8, pp 872–878 | Cite as

Upper bounds on the entropy of radiation systems

  • Dingxiong Wang


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.


equation of state of radiation-entropy-black-hole entropy generalized second law of thermodynamics black-hole thermodynamics 


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Copyright information

© Science in China Press 1997

Authors and Affiliations

  • Dingxiong Wang
    • 1
  1. 1.Department of PhysicsHuazhong University of Science and TechnologyWuhanChina

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