论文标题
模拟鹰效应：主方程
Analogue Hawking Effect: a master equation
论文作者
论文摘要
我们进一步考虑了模拟鹰辐射的问题。我们提出了第四阶的普通微分方程，该方程式可以以统一的方式讨论模拟重力中鹰辐射的问题，包括流体和介电介质。在合适的近似值中，涉及弱分散效应，WKB溶液远离地平线（转弯点）获得，此外，也得出了管理地平线附近行为的方程，并在地平线附近获得了完整的分析解决方案。讨论了Corley和Jacobson引入的原始流体模型的跨原理情况，即介质介质的情况。我们表明，在这种近似方案中，有一种模式与配对过程无直接涉及。验证了热力，并提供了计算灰色因子的框架。
We consider further on the problem of the analogue Hawking radiation. We propose a fourth order ordinary differential equation, which allows to discuss the problem of Hawking radiation in analogue gravity in a unified way, encompassing fluids and dielectric media. In a suitable approximation, involving weak dispersive effects, WKB solutions are obtained far from the horizon (turning point), and furthermore an equation governing the behaviour near the horizon is derived, and a complete set of analytical solutions is obtained also near the horizon. The subluminal case of the original fluid model introduced by Corley and Jacobson, the case of dielectric media are discussed. We show that in this approximation scheme there is a mode which is not directly involved in the pair-creation process. Thermality is verified and a framework for calculating the grey-body factor is provided.
