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Upper bounds on the entropy of radiation systems

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Abstract

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.

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Authors and Affiliations

  1. Department of Physics, Huazhong University of Science and Technology, 430074, Wuhan, China

    Dingxiong Wang

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  1. Dingxiong Wang
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Wang, D. Upper bounds on the entropy of radiation systems. Sci. China Ser. A-Math. 40, 872–878 (1997). https://doi.org/10.1007/BF02878928

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  • DOI: https://doi.org/10.1007/BF02878928

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