零温度极限下通过辐射实现的双重熵增益
Dual entropy gain by radiation at the zero temperature limit
浏览论文内容
中文总结 AI 辅助
本文研究零温度极限下黑洞辐射的熵变化，发现受限模式使克尔等黑洞的视界面积与外部熵均增加，证实广义第二定律的稳健守恒，且该结论适用于克尔-塔布-努特黑洞。
中文摘要 AI 辅助
近来我们已证明，黑洞辐射可平滑延伸至零温度极限。本文分析零温度极限下的熵变化，并评估广义第二定律（Generalized Second Law, GSL）的有效性。通常情况下，外部区域的熵增益可补偿黑洞因蒸发产生的熵损失。但在零温度极限下出现异常特征：发射被限制在ω<mΩ的模式，使克尔（Kerr）黑洞的视界面积变化为正定值；同时，外部区域的冯·诺依曼（von Neumann）熵对玻色子和费米子模式均增加。零温度极限下的双重熵增益标志着广义第二定律的稳健守恒。我们进一步证明，该双重增长也适用于克尔-塔布-努特（Kerr-Taub-NUT）黑洞，这类黑洞的熵既不与视界面积直接成正比，也无法通过解析积分得到。
英文摘要
Recently we have demonstrated that black hole radiation can be smoothly extended to the zero-temperature limit. Here we analyse entropy variations at the zero temperature limit and evaluate the validity of the Generalized Second Law (GSL). Typically one verifies that the entropy gain in the exterior region compensates for the entropy loss of the black hole due to evaporation. However an anomalous feature emerges at the zero temperature limit. The fact that the emission is restricted to the modes $ω<mΩ$, renders the variation of the horizon area of a Kerr black hole positive definite. Simultaneously the von Neumann entropy of the exterior region increases both for bosonic and fermionic modes. The dual entropy gain at the zero temperature limit marks a robust conservation of the GSL. We demonstrate that the dual increase also applies to Kerr-Taub-NUT black holes whose entropy is neither directly proportional to the horizon area nor analytically integrable.
