Title: Unruh entropy of Schwarzschild black hole Show Chinese title

Title: 施瓦茨希尔德黑洞的安鲁熵

Abstract: The entropy produced by the Unruh radiation is estimated and compared to the entropy of a Schwarzschild black hole. We simulate a spherical system of mass $ M $ by set of Unruh horizons and estimate the total entropy of the outgoing radiation. Dependence on mass and spin of the emitted particles is taken into account. The obtained results can be easily extended to any other intrinsic degrees of freedom of outgoing particles. The ratio of Unruh entropy to the Schwarzschild black hole entropy is derived in exact analytical form. For large black holes this ratio is highly sensitive to quantum numbers of emitted quanta, e.g., spin $ s $, for which it varies from $ 0\% $ for $ s = 0 $ to $ 19\% $ for $ s = 5/2 $. Show Chinese abstract

Abstract: 由Unruh辐射产生的熵被估算并与施瓦茨希尔德黑洞的熵进行了比较。 我们通过一组Unruh视界模拟了质量为$ M $的球形系统，并估算了向外辐射的总熵。 考虑了发射粒子的质量和自旋的影响。 所得结果可以很容易地扩展到任何其他外向粒子的内禀自由度。 Unruh熵与施瓦茨希尔德黑洞熵的比值以精确的解析形式推导出来。 对于大黑洞，这个比值对发射量子的量子数非常敏感，例如自旋$ s $，对于它来说，该比值从$ 0\% $对于$ s = 0 $变化到$ 19\% $对于$ s = 5/2 $。