Tunneling Radiation of a Torus-Like Black Hole in Anti-de Sitter Space-Time

An extension of the Parikh-Wilczek's semi-classical quantum tunneling method, the tunneling radiation of the charged particle from a torus-like black hole is investigated. Difference from the uncharged mass-less particle, the geodesics of the charged massive particle tunneling from the black hole is not light-like, but determined by the phase velocity. The derived result shows that the tunneling rate depends on the emitted particle's energy and electric charge, and takes the same functional form as uncharged particle. It proves also that the exact emission spectrum is not strictly pure thermal, but is consistent with the underlying unitary theory. PACS Numbers: 04.70.Dy, 97.60.Lf, 05.30.Ch.     

Hawking Radiation of Charged Particles via Tunne ling from a Cylindrically Symmetric Black Hole in Anti-de Sitter Space-Time

Applying Parikh-Wilzcek‘s semi-classical quantum tunneling model, we study the Hawking radiation of charged particles as tunneling from the event horizon of a cylindrically symmetric black hole in anti-de Sitter space-time.The derived result shows that the tunneling rate of charged particles is related to the change of Bekenstein-Hawking entropy and that the radiation spectrum is not strictly pure thermal after taking the black hole background dynamical and self-gravitation interaction into account, but is consistent with the underlying unitary theory.     

Kerr解的新形式及其隧穿辐射

Parikh最近将黑洞辐射视为半经典的隧穿过程,在考虑了自引力相互作用后,得出静态球对称Schwarzschild和Reissner-Nordstrm黑洞的辐射谱不是纯热谱.采用Doran给出的Kerr黑洞解的新形式,将Parikh的工作推广到Kerr黑洞,研究转动黑洞的隧穿辐射,得到了修正的辐射谱,它与黑洞的Bekenstein-Hawking熵变有关,不是纯热谱,但满足量子力学中的幺正性原理. 关键词： Kerr黑洞 隧穿辐射 自引力修正 Bekenstein-Hawking熵     

General radiation via tunneling in Kerr and Kerr-Newman black holes

Hawking radiation can be viewed as a process of quantum tunneling near the black hole horizon. When a particle with angular momentum L ≠ ωa tunnels across the event horizon of Kerr or Kerr-Newman black hole, the angular momentum per unit mass a should be changed. The emission rate of the massless particles under this general case is calculated, and the result is consistent with an underlying unitary theory. Supported by the National Natural Science Foundation of China (Grant No. 10773002) and the National Basic Research Program of China (Grant No. 2003CB716302)     

The Tunneling Radiation Characteristics of Kerr-Newman de Sitter Black Hole

The strictly thermal spectrum in dragging coordinate system and the tunneling radiation characteristics of stationary axisymmetry Kerr-Newman de Sitter black hole is studied. The result shows that the tunneling rates at the event and cosmological horizon are related to the change of Bekenstein-Hawking entropy and that the factual radiation spectrum is not strictly pure thermal. Thus an exact correction to the Hawking thermal spectrum is present.     

某一类控制系统中发生的指数偏差现象

我们考虑在某类控制系统中,以Lyapunov指数作为观测量,远离给定遍历测度的那些周期测度.对于这类周期测度的数量关于周期的指数增长率,我们将用测度熵在某个集合上的上界给出它的一个上限控制.     

Massive Radiation via Tunneling in a BTZ Black Hole

Hawking radiation can usefully be viewed as a semi-classical tunneling process that originates at the black hole horizon. Massive radiation from a BTZ black hole is investigated. The conservation of energy implies the effect of self-gravitation. Viewed as a tunneling process, the emission spectrum derivates from the pure thermal spectrum, but it is consistent with an underlying unitary theory. The result is the same as that of massless particles.     

带电BTZ黑洞一般性辐射的隧穿效应

研究了BTZ黑洞背景下带电、有质量粒子的辐射过程, 此时能量守恒和电荷守恒意味着引力反作用和电磁反作用. 从隧穿过程的观点来看, 辐射谱偏离了纯热谱, 但仍满足幺正理论, 并且有可能对信息佯谬给出解释. 通过计算, 可以得到与不带电、无质量粒子辐射相同的结论.     

数据流的非平稳性度量——纪念李国平院士吴新谋教授诞辰100周年

该文融合遍历论、粗粒化方法和信息论的观点研究数据流的非平稳性度量问题. 引入了数据流的非平稳性度量的概念, 给出了数据流非平稳性度量的有效的近似算法. 数据流的非平稳性度量为该文融合遍历论、粗粒化方法和信息论的观点研究数据流的非平稳性度量问题. 引入了数据流的非平稳性度量的概念, 给出了数据流非平稳性度量的有效的近似算法. 数据流的非平稳性度量为该文融合遍历论、粗粒化方法和信息论的观点研究数据流的非平稳性度量问题. 引入了数据流的非平稳性度量的概念, 给出了数据流非平稳性度量的有效的近似算法. 数据流的非平稳性度量为$0$和$1$之间的实数,平稳性较好的数据流的非平稳性度量较小. 作者将数据流的非平稳性度量应用到模型选择问题中,提出残差序列非平稳性度量最小化的模型选择标准. 作者用数值试验检验了该文提出的数据流非平稳性度量的近似算法, 并检验了其作为模型选择标准的能力.数值试验的结果表明, 非平稳性度量是衡量数据流非平稳程度的一个合理指标, 可以很好地区分趋势平稳数据和差分平稳数据, 区分独立同分布序列、白噪声序列和鞅差序列.     

对稳态NUT- Kerr-Newman黑洞的量子隧穿特征的研究

运用Parikh的量子隧穿模型, 研究了NUT- Kerr- Newman黑洞的量子隧穿辐射特征. 研究结果表明, 当考虑能量守恒与角动量守恒时, 稳态NUT- Kerr- Newman黑洞的真实谱不再是纯热谱, 视界处粒子的隧穿率与Bekenstein-Hawking熵有关, 且满足量子力学中的幺正性原理.